Conferences  >  Mathematics  >  Algebra

Banach Center & Polish Academy of Sciences – Institute of Mathematics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Fields Institute

This workshop will bring together those working in pure Borel combinatorics with those studying the ergodic theory, dynamics, and geometry of countable groups. Featured topics will include Gaboriau's theory of cost, Borel and measurable chromatic numbers, Borel matchings, and amenable and hyperfinite equivalence relations.

ICMS - International Centre for Mathematical Sciences

The past several years have seen landmark progress in the interplay between representation theory, geometry and mathematical physics. Particularly notable have been Braverman, Finkelberg and Nakajima's definition of the Coulomb branch of an N=4 supersymmetric (SUSY) 3d gauge theory, and Mellit's proof of the Hausel-Letellier-Rodriguez-Villegas conjecture on the Poincar\'e polynomials of character varieties. The area has also seen exciting connections to other fields, such as significant progress on the conjectures of Gorsky, Negut and Rasmussen relating coherent sheaves on Hilbert schemes to Khovanov-Rozansky homology. The goal of this conference is to push forward research in areas at the nexus between these results: affine Springer theory, double affine Hecke algebras and Coulomb branches, creating new connections between experts, and exposing young mathematicians to this fast-progressing and exciting research area.

Northwestern University, Evanston, IL

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Arbeitsgemeinschaft (study group) mainly addresses to non-specialists who want to broaden their outlook on mathematics and to junior mathematicians who wish to enter a field for future research. Experts are also welcome. The idea is “learning by doing” – similar to the Seminaire Bourbaki. Participants have to volunteer for one of the lectures described in the program of the Arbeitsgemeinschaft. After the deadline for application the organizers choose the actual speakers to give them enough time to understand the subject and to prepare for their lectures.

CIRM – Centre International de Rencontres Mathématiques

ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.

CIRM – Centre International de Rencontres Mathématiques

The frame flow of negatively curved manifolds is one of the first examples of partially hyperbolic dynamics: it is defined as an extension of the geodesic flow (which is uniformly hyperbolic) to the frame bundle of the manifold by means of parallel transport. The study of its statistical properties such as ergodicity, mixing or exponential mixing, is still widely open. We have recently shown that, under reasonable pinching assumptions on the sectional curvature, the frame flow of even-dimensional manifolds is ergodic and mixing — the odd-dimensional case being already solved by Brin-Gromov in 1980. Surprisingly, this problem is linked to questions of a very diverse nature: — in algebraic topology: the classification of the reductions of the structure groups of the sphere, — in Riemannian geometry: the existence of almost-parallel structures (e.g. Killing forms, almost-Kähler or almost-G_2 structures, etc.) — in algebraic geometry: the classification of polynomial maps between spheres. The purpose of this research project is to explore these multiple aspects of the problem and to progress on our understanding of the frame flow.

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CIRM – Centre International de Rencontres Mathématiques

ICMS, The Bayes Centre, Edinburgh

This workshop will bring together leading, as well as early career, researchers on arithmetic statistics and on algorithmic aspects of algebra and number theory, with the aim of fostering collaborations within and between these communities, and to offer early career researchers the opportunity to get a broad overview of the most recent achievements and of the most pressing problems in these fields. The workshop will also celebrate the mathematics of Hendrik W Lenstra Jr.

CIRM - Jean-Morlet Chair

In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.

Mathematical Sciences Research Institute (MRSI)

A central topic in Diophantine Geometry is to understand how the geometry of a variety influences the arithmetic of its algebraic points, and conversely. Conjectures of Bombieri, Lang, and Vojta suggest that rational points of algebraic varieties satisfying suitable approximation conditions, are algebraically degenerate. On the other hand, conjectures on unlikely intersections suggest that algebraic points of special type —e.g. torsion points in semi-abelian varieties, special points in Shimura varieties— avoid subvarieties, unless the subvariety itself is also special (in a technical sense). In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry). The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.

CIRM – Centre International de Rencontres Mathématiques

P-adic integration on Deligne-Mumford stacks was used in several spectacular ad-vances (proof of the topological mirror symmetry conjecture of Hausel-Thaddeus and new proofs of geometric stabilization and the fundamental lemma by Groechenig-Wyss-Ziegler, new BPS-type invariants by Carocci-Orecchia-Wyss, etc.). A motivic version exists, which was developed by Yasuda following works of Batyrev and Denef-Loeser son the McKay correspondence. A variant of this theory was used by Loeser and Wyss to prove a motivic version of topological mirror symmetry and by Forey, Loeser and Wyss to obtain a motivic version of geometric stabilization and the fundamental lemma. If the theory of motivic integration on Deligne-Mumford stacks is now fully understood, its development in the more general setting of Artin stacks is still very much mysterious. Our aim is to develop the bases of such a theory with new applications in mind.

KTH Royal Institute of Technology and Stockholm University

The 2023 edition of the Graduate Student Meeting on Applied Algebra and Combinatorics will take place in Stockholm, April 26-28. It will be an opportunity for graduate students and postdocs interested in algebra and combinatorics and their applications to meet each other, communicate their research, and form new collaborations. Over the course of three days, participants will get the chance to take part in minicourses, a poster session, several contributed talks, as well as an open problem session.

Email: applied.algebra.combinatorics@gmail.com

applied algebra, applied combinatorics

Courses and Events for Math Students and Early Career Researchers,    Graph Theory and Combinatorics

University of British Columbia

This conference will focus on the interactions between manifolds and submanifolds of dimensions 1, 2 and 3 and their relations to topological, geometric, and group theoretic questions in a celebration of the accomplishments and influences of Yair Minsky.

Group Theory,    Geometry and Topology

CIRM – Centre International de Rencontres Mathématiques

Mathematical Sciences Research Institute (MSRI)

This workshop is about the recent MIP*=RE result from quantum computational complexity, and the resulting resolution of the Connes embedding problem from the theory of von Neumann algebras. MIP*=RE connects the disparate areas of computational complexity theory, quantum information, operator algebras, and approximate representation theory. The techniques used in the proof of MIP*=RE, such as self-testing and probabilistically checkable proofs, are well-known in theoretical computer science and quantum information, but are unfortunately completely foreign in operator algebras and approximate representation theory. Likewise, the tools of operator algebras and approximate representation theory are mostly unfamiliar in theoretical computer science and quantum information. This has made it challenging to translate the MIP*=RE result and the techniques used to prove it into a form digestible to operator algebraists. The aim of this workshop is to bridge this divide, by giving an in-depth exposition of the techniques used in the proof of MIP*=RE, and highlighting perspectives on the MIP*=RE result from operator algebras and approximate representation theory. In particular, this workshop will highlight connections with group stability, something that has not been covered in previous workshops. In addition to increasing understanding of the MIP*=RE proof, we hope that this will open up further applications of the ideas behind MIP*=RE in operator algebras.

Quantum Mechanics and Quantum Information Theory,    Quantum Information Theory and Quantum Computing

The conference is supported by the University of Pittsburgh Mathematics Research Center, and by the Institute for Mathematics and its Applications (IMA) through its Participating Institution (PI) Program.

The Fields Institute

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds, begun by S. Lefschetz, and well established by the late 1950's. Many of the important Artinian graded algebras appear as cohomology rings of an algebraic variety or manifold, though recent important developments have demonstrated important cases of the Lefschetz properties beyond such geometric settings (such as Coxeter groups or matroids). This renews interest in understanding the Lefschetz property, and Artinian algebras that admit them, systematically.

Geometry and Topology,    Graph Theory and Combinatorics

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, is devoted to combinatorial problems about infinite cardinals. There are two types of infinite cardinals to investigate: successors of regular cardinals, most notably ℵ2, and successors of singular cardinals, for example ℵω+1ω+1. The workshop will focus on combinatorial principles such as the tree property, stationary reflection and the effect of consequences on forcing axioms on cardinal arithmetic, in particular what implications they have on the continuum, and the singular cardinal hypothesis (SCH).

The main topics of the workshop are The tree property, its strengthening ITP, stationary reflection how these combinatorial principles interact with SCH; Which consequences of PFA and MM require the continuum to be ℵ2 , and more generally, their effect on cardinal arithmetic; Forcing techniques such as proper iterated forcing and Prikry type forcing.

Ohio State University, Columbus

GPOTS focuses on recent advances in operator algebras (C* algebras, von Neumann algebras, and non-commutative geometry) and operator theory, with applications to a wide array of disciplines, including ergodic theory, representation theory, logic, and mathematical physics.

ICERM

In spite of their omnipresence and importance, a number of questions about knots remain elusive. Addressing them solicits techniques from a range of mathematical disciplines at the interface of algebra, analysis, geometry, modeling, and low-dimensional topology. Some of the most exciting recent avenues of research include optimizing geometry, quantum knot invariants, and applications in material sciences, physics, and molecular biology. This workshop emphasizes bridging the gap between theoretical, computational, and experimental approaches in knot theory and its applications, including artificial intelligence.

Program Staff;     Phone: [1-401-863-5030];     Email: programstaff@icerm.brown.edu

Geometry and Topology,    Analysis

The Instituto of Mathematical Sciences (ICMAT)

The study of the arithmetic properties of special values of L-functions is a central theme in Number Theory and in Arithmetic Geometry. The aim of this conference is to discuss recent significant developments in this area. In addition to research talks from accomplished researchers in the field, there will be an opportunity for PhD students to contribute short talks on their research topics.

Commutative Algebra has seen an extraordinary development in the last few years. Long standing conjectures have been proven and new connections to different areas of mathematics have been built.This summer graduate school will consist of three mini-courses (4 lectures each) on fundamental topics in commutative algebra that are not covered in the standard courses. Each course will be accompanied by problem sessions focused on research. Six general colloquium-style lectures will be given by invited scholars who will also attend the school and help with afternoon research activities.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

There exists a mysterious algebraic structure in 8-dimensional space that does not behave in the same way as the ordinary arithmetic that we all learn as children. Somewhat surprisingly, this strange algebra, called the octonions, shows up naturally in the study of certain higher dimensional geometric spaces, called manifolds, that are of importance in physics and in the study of the equations introduced by Einstein in general relativity. Geometers have been studying such spaces for a number of years, mostly using tools from calculus and differential equations. The proposed workshops intends to introduce these researchers to experts in the special octonion algebra, as well as in related special algebraic structures called spinors, to facilitate a cross-pollination of ideas, methods, and techniques. Some of these groups have never before been brought together in this way.

The Faculty of Mathematics and Physics of Charles University together with the Faculty of Electrical Engineering of the Czech Technical University in Prague will organize the Spring School on Analysis 2023

The purpose of this meeting is to bring together researchers with a common interest in the field. Graduate students and others beginning their mathematical careers are encouraged to participate. There will be opportunities for informal discussions and short communications.

University of Illinois Urbana-Champaign

Courses and Events for Math Students and Early Career Researchers,    Graph Theory and Combinatorics

Casa Matemática Oaxaca (CMO)

Eduard Helly proved in 1913 one of the most celebrated results in geometry that gives conditions for the members of a family of convex objects (with convex boundary and without holes) to have a common point. Helly's theorem gives rise to numerous generalizations and variants, and is very close related with the classical theorems of Radon, Caratheodory and Tverberg, which is the r-partite version of Radon's theorem. All this theorems have a deep connection with many other areas in mathematics such as algebraic topology, discrete geometry, combinatorial geometry, and analysis and could be seen as a multidisciplinary area since it uses tools from, topology, geometry, computer sciences, probability etc. and, in resent years have been useful tool for applications to model problems in real life. The proposed workshop will assemble the key people senior and students working in this area, in order to explore recent progress and to help focus on future directions of research.

Banach Center

Classical Fourier analysis uses decompositions of functions in terms of linear phases. In recent years it was discovered that for applications in ergodic theory, combinatorics, and number theory, involving patterns such as arithmetic progressions, one has to study correlations of functions with higher order polynomial phases and other more general phases, called nilsequences, which arise from natural dynamical systems on nilmanifolds. This philosophy has helped to make progress in problems that were previously considered intractable, and has resulted in new impressive applications in the above-mentioned areas. In ergodic theory this approach is used to study the limiting behavior of multiple ergodic averages and related multiple recurrence results, in topological dynamics it has led to new structural results, and in combinatorics and number theory it is used to study patterns that can be found in sets of positive density or the set of primes. Also, very recently it has played a decisive role in progress related to the Chowla and Elliott conjectures on correlations of bounded multiplicative functions and the Mobius disjointness conjecture of Sarnak. The aim of the workshop is to introduce the above topics to a wider audience, report on recent developments, and foster collaborations and new insights.

Geometry and Topology,    Graph Theory and Combinatorics

CIRM – Centre International de Rencontres Mathématiques

Our goal is to organise a conference devoted to interactions between pure mathematics (in particular arithmetic and algebraic geometry) and information theory (especially cryptography and coding theory). This conference will be the eighteenth edition, with the first one held in 1987, in a series that has traditionally brought together some of the top specialists in the domains of arithmetic, geometry, and information theory. The corresponding international community is very active and all of the concerned research domains are developing and expanding rapidly.

Algebraic and arithmetic geometry over finite fields and global fields. Number theory, especially explicit and algorithmic. Algebro-geometric codes constructed from curves and higher-dimensional algebraic varieties over finite fields and global fields. -Arithmetic and geometric aspects of cryptography (symmetric, public key, and post-quantum) and cryptanalysis.

Cryptography, Blockchain and Information Security,    Information Theory, Foundations of Computer Science

CIRM – Centre International de Rencontres Mathématiques

The aim is to study properties of number fields, Galois representations, and automorphic forms for which local and residual properties force a precise global behaviour. On the one hand, this relates to the theory of average class group behaviour, higher Rédei symbols and Rédei reciprocity, and various Pell equations. On the other hand, it relates to dimensions and dimension jumps for spaces of modular forms for which we simultaneously fix the Atkin-Lehner sign and the residual representation at a prime.

ICMS - International Centre for Mathematical Sciences

Group Theory,    Geometry and Topology

Isaac Newton Institute for Mathematical Sciences (INI)

The conference is part of a two week Isaac Newton Institute (INI) programme that follows up on the 2018 INI semester programme "Homotopy Harnessing Higher Structures". People interested in this conference may also consider attending the workshop at the INI in Cambridge in the following week, 12-16 June 2023, "Homotopy: Fruit of the Fertile Furrow".

Mathematical Sciences Research Institute (MSRI)

Computational proof assistants now make it possible to develop global, digital mathematical libraries with theorems that are fully checked by computer. This summer school will introduce students to the new technology and the ideas behind it, and will encourage them to think about the goals and benefits of formalized mathematics. Students will learn to use the Lean interactive proof assistant, and by the end of the session they will be in a position to formalize mathematics on their own, join the Lean community, and contribute to its mathematical library.

Courses and Events for Math Students and Early Career Researchers,    Automated Theorem Proving

Casa Matemática Oaxaca (CMO)

A mathematical knot can be thought of as a piece of knotted string with ends attached. This knotted circle is allowed to move freely in space as long as it does not pass through itself. In recent years the study of knots has gained momentum through a series of applications, for instance in physics and in molecular biology. Such applications bring new urgency to certain classical questions pertaining to knots and how they sit inside 3-dimensional space.

Queen's University, Kingston, Ontario

Structure of finite dimensional algebras Structure of module categories Auslander--Reiten components Homological methods in representation theory Homological conjectures Algebras of finite global dimension Self-injective algebras Tame algebras Combinatorial aspects of representation theory Geometry of algebras and modules Homological invariants of algebras and modules Triangulated categories and tilting theory Relations of the above topics with Lie theory, Singularity theory, Cohen--Macaulay modules, quantum groups and other algebraic structures.

Hausdorff Center for Mathematic

This conference will be on various aspects of the local Langlands correspondence over p-adic fields and methods from p-adic Hodge theory. Topics will include the usual local Langlands correspondence, the p-adic local Langlands correspondence and the relation to coherent sheaves on spaces of Galois representations, and the geometry and cohomology of local Shimura varieties.

Isaac Newton Institute for Mathematical Sciences (INI)

Casa Matemática Oaxaca (CMO)

In addition to further developing equivariant bordism theory directly, the workshop participants will apply this theory to understand symmetries of high-dimensional objects in terms of lower-dimensional objects with similar symmetries, and, conversely, to understand when it is possible for an object with symmetry to be used to build a higher dimensional object with the same symmetry. The participants will also apply equivariant bordism theory to certain problems arising in quantum physics. Algebraic aspects of symmetry have been exploited to great effect in recent years in order to understand certain quantum mechanical systems called ``topological quantum field theories," and the workshop will push these applications further by coupling them to the geometric techniques enabled by equivariant bordism theory. The workshop activities have been carefully organized with the goal of nurturing new cosmopolitan research collaborations that unite experts and students from diverse backgrounds---both mathematical and personal.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Recent work by physicists has uncovered a conjectural relationship between the enumerative invariants of noncompact Calabi-Yau geometries and the spectra of quantum curves. In certain limits, this connection may be recast in terms of zeroes and limits of higher normal functions, which are generalized periods arising from algebraic K-theory. Other interpretations and applications abound, in contexts ranging from integrable systems to resurgence theory. This workshop will be the first time that an interdisciplinary group of researchers working on this topic from various perspectives has been convened. The organizers expect it to generate new insights and new research liaisons among the attendees.

Mathematical Physics,    Geometry and Topology

MPI f. Mathematik, Bonn

The Arbeitstagung 2023 will focus on Condensed Mathematics, a new approach to topology, and its applications throughout mathematics, from logic over algebra, analysis and K-theory to group theory and dynamical systems. As usual at an Arbeitstagung, part of the program will only be decided during the event depending on the interests of the audience.

CIRM – Centre International de Rencontres Mathématiques

ICMS - International Centre for Mathematical Sciences

This workshop will aim to bring together experts in the theory of C*-algebras with mathematicians who have already been inspired by C*-algebras or who work in areas where there are natural connections with C*-algebras.

In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.

Geometry and Topology,    Number Theory, Arithmetic

The meeting covers the whole field of Lie Theory in its widest sense together with its applications in many facets of physics. As interface between mathematics and physics the workshop serves as a meeting place for mathematicians and theoretical and mathematical physicists.

Mathematical Physics,    Applied Mathematics (in general)

The conference "Finite and Residually Finite Groups", celebrating Pavel Shumyatsky's 60th birthday will be held in Bilbao (Spain), from June 20th to 23rd, 2023, and is jointly organised by the University of the Basque Country, the University of Brasilia, and the University of Padova. The format of the conference will include invited talks, contributed talks and a poster session. Also, there will be up to 15 accommodation grants for young researchers.

Email: pavel60conference@gmail.com

Jeonbuk National University, Department of Math. Education

The 2023 International Conference of the Honam Mathematical Society (HMS, for brevity: www.honammath.or.kr) will be held in Jeonbuk National University(www.jbnu.ac.kr/eng/), Jeonju, Republic of Korea, on June 22-24, 2023.

The aim of the conference is to activate mutual communications and discussions among mathematicians who have diverse back grounds.

The conference deals with some  topics   in the fields of  Algebra, Analysis, Topology, Geometry,  and Applied Mathematics.

For any kinds of inquiry about the conference, feel free to contact me (sehan@jbnu.ac.kr).

We are looking forward to receiving your response, and to seeing you in Jeonju, Korea.

With best regards,

The president of Honam Mathematical Society,

Chair of the “2023 international conference of the HMS”

Professor Sang-Eon Han

Phone: [+821026415429];     Email: sehan@jbnu.ac.kr

Algebra, Analysis, Topology, Geometry, Applied Mathematics

Geometry and Topology,    Applied Mathematics (in general)

UP FAMNIT: University of Primorska, Faculty of Mathematics, Natural Sciences and Information; UP IAM: University of Primorska, Andrej Marušič Institute; SDAMS: Slovenian Discrete and Applied Mathematics Society

The 11th PhD Summer School in Discrete Mathematics is a summer school aimed to bring together PhD students and early carreer researchers working in various areas of combinatorics. The 11th edition will be held in the coastal city of Koper, Slovenia.

Email: sygn@upr.si

Algebraic graph theory, spectral graph theory, discrete mathematics, algebraic combinatorics.

Graph Theory and Combinatorics,    Group Theory

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Banach Center

LOOPS'23 conference will belong to the LOOPS conferences, a series of conferences held every 4 years since 1999. The LOOPS conferences cover all aspects of nonassociative mathematics, including quasigroups, loops, Latin squares, Lie algebras, Jordan algebras, octonions, quandles and their applications. The conference intends not only to highlight new relevant results in algebra and geometry, but also to foster connections to combinatorics, group theory, knot theory, cryptography and physics. The previous LOOPS conferences have been held in Prague, in Trest, Czech Republic, Ohrid, North Macedonia, and Budapest, Hungary.

quasigroups and loops • quantum Latin squares • applications in cryptography • automated deduction • algebraic structures derived from the Yang-Baxter equation • connections to low-dimensional topology

Interest in specialization of polynomials and Galois groups goes back at least to the work of Hilbert on the inverse Galois problem. This theory has found an abundance of applications in Algebra, Number Theory, Group Theory, and Arithmetic Geometry. In recent years, the area is blooming and we see striking results that open completely new horizons: The discovery of Hilbert irreducibility properties of algebraic groups, its connection with expanders and random walks, the interrelation with arithmetic-geometric properties of parametrizing varieties, and the exciting progress on the Cohen-Lenstra heuristics. The conference aims to bring together leading experts and young researchers interested in the area. We plan to leave an abundance of free time, dedicated to informal discussions. We believe that this will encourage the transfer of ideas, techniques, and will foster new collaborations and new research directions.

Number Theory, Arithmetic,    Group Theory

ICMS - International Centre for Mathematical Sciences

The workshop will focus on recent new trends connecting different classical as well as quantum integrable systems through dualities and symmetries. We are inviting world leading researchers from a diverse range of the integrable systems community in order to disseminate these new important developments and techniques; strengthen and explore new and existing connections between different aspects of integrable systems; identify future perspectives and aims; and provide a networking opportunity for established and early career researchers.

Isaac Newton Institute for Mathematical Sciences (INI)

Vaughan Jones initiated the study of subfactors in the early 1980's, in the theory of von Neumann algebras of operators on Hilbert spaces. Subfactor theory rapidly led to connections with link and 3-manifold invariants, quantum groups and exactly solvable models in statistical mechanics. Subsequently deep applications and connections have been uncovered with algebraic, topological and conformal quantum field theory. This workshop will review progress in the field during and after the programme as well as proposing future research directions in the multitude of areas related to subfactors, quantum symmetries and their applications.

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

Banff International Research Station (BIRS) / UBCO

How primes and L-functions are linked is at the core of analytic number theory, with the Gener- alized Riemann Hypothesis (GRH) being its star conjecture. The field of explicit number theory focuses on simple yet notoriously difficult questions such as the Goldbach conjecture (Can every even number be written as the sum of two primes?) and Legendre’s conjecture (Is there a prime number between every two consecutive squares?). It is likely one of the most exacting flavors of number theory: in addition to scientific creativity, it requires precision and endurance to produce meaningful results. Working in teams with complementary expertise would allow to tackle some problems in the field more efficiently.

CIRM – Centre International de Rencontres Mathématiques

This conference is organized around the themes of K-theory, (motivic) homotopy theory, topological Hochschild homology, trace methods, and related topics. It is dedicated to Bjørn Ian Dundas on the occasion of his 60th birthday.

Institute of Mathematics and Scientific Computing at the University of Graz in Graz, Austria

The conference continues a series of ring theory conferences in Graz from 2012, 2014, 2016, 2018, and 2021. It will include a Special Session dedicated to Prof. Sophie Frisch on the occasion of her 60th birthday.

Multiplicative ideal theory: ideal and module systems, star and semistar operations, Dedekind, Prüfer, Krull, and Mori rings and their generalizations, Noncommutative rings and algebras, Rings of integer-valued polynomials, Topological aspects in ring theory, Factorization theory in rings and semigroups, Direct-sum decomposition of modules.

CIRM – Centre International de Rencontres Mathématiques

The past decades has seen some spectacular achievements on the ineraction beetween representation theory of groups or algebras of Lie type and models coming from probability or theoritical physics, cementing its reputation as a highly active area involving mathematicians from across the world. This workshop not only aims to present some of these new results, but also to explore new domains in connection with the PRC Cortipom project granted by the Agence National de la Recherche. It will feature talks given by confirmed researchers and also more informal presentations and works in small groups.

ICMS - International Centre for Mathematical Sciences

The main objective of this workshop is to bring together a range of researchers in geometry and topology, whose research interests are closely aligned to topics where geometric flows either already or are expected to play a key role, with experts in the analysis of geometric flows.

University of Bristol

Victor P. Snaith (1944 – 2021) was distinguished not just as an outstanding mathematician who made deep and lasting contributions in algebraic topology and number theory but also as a charismatic leader who enthusiastically developed research communities and generously supported young researchers.

The conference will bring together homotopy theory, cohomology of groups, algebraic K-theory and number theory, the main areas in which Vic worked. The aim is to feature important developments, paying special attention to synergies between these areas, as Vic did in much of his versatile research.

Geometry and Topology,    Number Theory, Arithmetic

This is the conference of the SIAM Activity Group on Algebraic Geometry.

The purpose of the SIAM Activity Group on Algebraic Geometry is to bring together researchers who use algebraic geometry in industrial and applied mathematics. "Algebraic geometry" is interpreted broadly to include at least: algebraic geometry, commutative algebra, noncommutative algebra, symbolic and numeric computation, algebraic and geometric combinatorics, representation theory, and algebraic topology. These methods have already seen applications in: biology, coding theory, cryptography, computational geometry, computer graphics, quantum computing, control theory, geometric design, complexity theory, machine learning, nonlinear partial differential equations, optimization, robotics, and statistics. We welcome participation from everyone interested in this broadly interpreted notion of algebraic geometry and its applications.

University of Oregon, Eugene

In this workshop we will explore the structure of these categorified Coulomb branches. The simplest (!) example of a categorified Coulomb branch is the coherent Satake category, that is, the category of perverse coherent sheaves on the affine Grassmannian of a complex reductive group (such as GL_n). This is the coherent analogue of the more classical (constructible) Satake category which plays a fundamental role in the geometric Langlands program. We don't expect participants to know what many of those words mean, but they will by the end of the workshop!

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

Institut des Hautes Etudes Scientifiques (IHES)

This school is open to everybody but intended primarily for young participants, including Ph.D. students and postdoctoral fellows.

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

The ICFCA conference series is the major biannual event of the Formal Concept Analysis research community. The 17th International Conference on Formal Concept Analysis, ICFCA 2023, aims to bring together researchers and practitioners working on both theoretical and practical aspects of Formal Concept Analysis, as well as its applications in various application fields like data mining, machine learning, software engineering, semantic web, social and environmental sciences.

This is the ninth Iwasawa conference following conferences in Besancon, Limoges, Irsee, Toronto, Heidelberg, London, Tokyo and Bordeaux. The conference is dedicated to the memory of John Henry Coates

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will bring together theorists and computationalists to collaborate on understanding how computational considerations impact the practice of applied topology, and what new challenges for computation we must solve to bridge theory to applications.

In the tradition of the earlier events, this workshop aims at bringing together the leading experts in the field, covering a broad spectrum reaching from the more theoretically-oriented over the explicit to the algorithmic aspects. The fundamental problem motivating the workshop asks for a description of the set of rational points X(Q) for a given algebraic variety X defined over Q. When X is a curve, the structure of this set is known, and the most interesting question is how to determine it explicitly for a given curve. When X is higher-dimensional, much less is known about the structure of X(Q), even when X is a surface. So here the open questions are much more basic for our understanding of the situation, and on the algorithmic side, the focus is on trying to decide if a given variety does have any rational point at all.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

CIRM – Centre International de Rencontres Mathématiques

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to the recent developments in the intersection of Khovanov-Rozansky homology, affine Springer fibers, Hilbert schemes and link homology, and combinatorics.

Geometry and Topology,    Graph Theory and Combinatorics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Geometry and Topology,    Mathematical Physics

Hausdorff Center for Mathematic

This conference will be on various aspects of the global Langlands correspondence. Topics will include in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas.

CIRM – Centre International de Rencontres Mathématiques

Mindanao State University - Iligan Institute of Technology, Mathematical Society of the Philippines Regions, 10, 12 and BARMM, University of San Carlos

Algebra and representation theory have been at the forefront of mathematical research for the last century, attracting numerous Fields Medalists and producing groundbreaking results. The impact of these developments extends beyond pure mathematics, with direct implications in fields such as quantum mechanics, solid-state physics, material science, and dynamical systems. For instance, representation theory has led to the development of new algorithms for quantum computing, which have the potential to revolutionize computing and information processing.

To continue the advancement of these fields, the 2023 International Algebra Conference in the Philippines (IACP) aims to provide a platform for faculty, graduate students, and young researchers to learn about the latest concepts and developments in the field. By bringing together international experts, the conference will enhance the visibility of the algebra community in the Philippines and foster collaboration and knowledge-sharing. In particular, young researchers will have the opportunity to present their current research and receive feedback from leading experts in the field. The conference promises to be a valuable experience for all participants, providing new insights and opportunities for future research.

Event Secretariat;     Email: iacp@g.msuiit.edu.ph

Representation Theory, Theory of Semigroups, Monoids, Groups, Rings, Fields and Modules, Algebraic Structures and Hyperstructures, Algebraic Geometry, Algebraic Number Theory, Algebraic Topology, K-Theory, Lie Theory, Crystallography, Matrix Analysis, Coding Theory, Mathematical Physics and Integrable Systems, Fuzzy Structures and Decision-Making Problems, Universal Algebra and its Application in Computer Science, Interactions of Algebras with Logic, Automata and Combinatorics and Applications of Algebras in Data Science and Machine Learning

This will be a workshop in Algebraic Geometry, in topics (tangentially) related to the Stacks project. The participants who apply and are accepted will be graduate students, post-docs, or even senior researchers. Roughly the idea is that they will learn about and work on a single topic in a small group together with a mentor for a week. Part of this process will be seeing how one builds new theory from the foundations. There will also be some talks each day covering advanced topics in algebraic geometry. Mathematicians not in the groups are welcome to come to these talks.

Courses and Events for Math Students and Early Career Researchers,    Geometry and Topology

Institute of Mathematics – Polish Academy of Sciences

Centre de recherches mathématiques (CRM)

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

This workshop focuses on addressing general theoretical problems that underpin cutting-edge applications of linear algebra, including low-rank approximation and tensor decomposition, optimization, machine learning, nonlocal network dynamics, and uncertainty quantification. By bringing together experts from these different communities at a BIRS workshop, new insights in applied linear algebra will be brought to these challenging problems, which we expect to generate significant advances to state-of-the-art computational algorithms in the next decade.

Neural Networks and Artificial Intelligence, Machine Learning,    Complex Networks

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

ICMS - International Centre for Mathematical Sciences

Some of the most exciting developments in geometric representation theory revolve around the relatively new theory of W-algebras. Broadly speaking these are obtained via the process of quantum Hamiltonian reduction from the some of the most influential structures in modern representation theory: enveloping algebras and universal affine vertex algebras. The applications of W-algebras are seemingly endless, but we list some key examples: the ordinary and modular representation theory of Lie algebras, the classification of integrable systems (especially generalisations of the KP hierarchy), a deeper understanding of smooth representations of affine Lie algebras, conformal field theories (and their associated AdS duals), modular tensor categories and the famous geometric Langlands program, once described by Edward Frenkel as “the grand unifying theory of mathematics”. The aim of this workshop is to bring the world's leading experts together to investigate recent developments in the theory of W-algebras and their representation theory, as well as interactions with other topics in geometric representation theory.

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China

The geometry of Hyperkahler varieties is certainly one of the most studied topics in Algebraic Geometry, with many connections to Representation Theory and Arithmetic Geometry. The aim of this workshop is to survey the recent developments in this area and to investigate the open problems and conjectures, by creating new collaborations between participants from different research fields. In addition to the research talks provided by selected participants, there will be four mini-courses delivered by some of the main experts in this area.

Young postdoctoral researchers and graduate students are very welcome to attend the workshop and to contribute with a junior talk.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Casa Matemática Oaxaca (CMO)

The proposed Workshop aims to study bridges between representations of algebras on one side and algebraic geometry and singularity theory on the other. One such bridge is provided by a process called `silting', allowing for example the transfer of combinatorial or homological structure in either direction. It is expected that the joint efforts of a group of internationally leading experts from many different areas of mathematics is yielding new insight in the difficult nature of these objects of study.

CAIM series provide a forum for the review of the recent trends in applied and industrial mathematics either from a qualitative or from a numerical point of view. Since theoretical studies find sooner or later their applicability, the conference has also sections for the theoretical branches of mathematics like algebra or geometry. Computer science communications are welcome.

A special section of the conference is dedicated to the mathematical teaching.

Applied Mathematics (in general),    Didactics of Scientific Disciplines

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

CIRM – Centre International de Rencontres Mathématiques

Organized by QuantiXLie Center of Excellence and co-organized by the Department of Mathematics, Faculty of Science, University of Zagreb.

The purpose of this conference is to bring together experts working on modular curves and Galois representations attached to elliptic curves and related areas. This conference is the succesor of the conference Torsion groups and Galois representations of elliptic curves held in Zagreb in 2018.

There is no registration fee for this conference.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

The conference is about recent developments in Arithmetic Algebraic Geometry. Its central theme is the geometry of Shimura varieties and related spaces in all its facets. Topics to be covered include: Integral models of Shimura varieties and the geometry of their reductions, p-adic and perfectoid geometry, special cycles on Shimura varieties, moduli spaces of Galois representations and (φ, Γ)-modules.

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The workshop is conceived in response to recent breakthroughs in physics and mathematics. One is the real quantization of Hitchin moduli spaces due to Gaiotto and Witten, and the other is a deformation quantization theory of Kontsevich and Soibelman that has achieved a vast mathematical foundation and generalization of topological recursion of Eynard and Orantin in random matrix theory. The vision of the organizers is that these two theories should be related through mirror symmetry. The workshop is organized to test this vision, and to explore its mathematical consequences.

CIRM – Centre International de Rencontres Mathématiques

ICMS - International Centre for Mathematical Sciences

This event will be a twinned transatlantic conference on “C*-algebras and tensor categories”, promoting new connections between C*-algebra theory and tensor categories/subfactors - an interface with tremendous, yet barely explored, potential. The two locations of the conference will be the Fields Institute in Canada and ICMS in Edinburgh.

Many major breakthroughs in the classification of C*-algebras of finite topological dimension have been underpinned by the large-scale transfer of von Neumann techniques on multiple levels. The overarching objective of this conference is to bring together researchers at the interface of the rapidly developing areas of the structure and classification of C*-algebras and subfactor theory/tensor categories.

ICMS - International Centre for Mathematical Sciences

This event will be a twinned transatlantic conference on “C*-algebras and tensor categories”, promoting new connections between C*-algebra theory and tensor categories/subfactors - an interface with tremendous, yet barely explored, potential. The two locations of the conference will be the Fields Institute in Canada and ICMS in Edinburgh.

Many major breakthroughs in the classification of C*-algebras of finite topological dimension have been underpinned by the large-scale transfer of von Neumann techniques on multiple levels. The overarching objective of this conference is to bring together researchers at the interface of the rapidly developing areas of the structure and classification of C*-algebras and subfactor theory/tensor categories.

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

CIRM – Centre International de Rencontres Mathématiques

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

CIRM – Centre International de Rencontres Mathématiques

Geometry and Topology,    Number Theory, Arithmetic

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Geometry and Topology,    Graph Theory and Combinatorics

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Isaac Newton Institute for Mathematical Sciences (INI)

The programme will start with an introductory school on equivariant methods in algebraic and differential geometry for graduate students, postdocs and those who are interested in learning background material for the programme.

Geometry and Topology,    Courses and Events for Math Students and Early Career Researchers

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Isaac Newton Institute for Mathematical Sciences (INI)

This workshop focuses on the following themes and their interactions: 1. Geometric and equivariant aspects of algebraic statistics 2. Computation of invariants in algebraic (especially toric) geometry 3. Algebraic group actions on combinatorial spaces

Geometry and Topology,    Graph Theory and Combinatorics

Mathematical Sciences Research Institute (MSRI)

The Introductory Workshop will feature lecture series devoted to some recent breakthrough results in commutative algebra, and to new developments in core areas of the field. It will also highlight links to other areas such as arithmetic geometry, representation theory, noncommutative geometry, and singularity theory.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Analysis,    Geometry and Topology

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Isaac Newton Institute for Mathematical Sciences (INI)

The workshop focuses on recent equivariant techniques in enumerative geometry of holomorphic maps between complex manifolds. It will bring together researchers working on global singularity theory (multisingularity classes of holomorphic maps, Thom polynomials, multiple-point formulas), and on complex manifolds with positivity properties (hyperbolicity, ample cotangent bundle, jet differentials). The mini-courses aim to explain the central role of the Hilbert scheme of points on complex manifolds in these problems.

Mathematical Sciences Research Institute (MSRI)

This workshop will give an overview of recent developments in non-commutative algebraic geometry, including NC projective AG, NC resolutions, semiorthogonal decompositions, enhancements of derived categories, and connections to homological mirror symmetry, to enumerative AG, to moduli spaces and to birational geometry. It will in particular focus on speakers who have built new bridges between these topics.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematical Sciences Research Institute (MSRI)

Many long-standing conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field. This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematical Sciences Research Institute (MSRI)

This workshop will have a view to the future of a broad spectrum of topics including structure and classification of finite dimensional Lie algebras and superalgebras in characteristic p structure of infinite dimensional Lie algebras and their representations deformation theory of algebras, double constructions and elemental Lie algebras diagram algebras and combinatorial representation theory algebraic combinatorics of groups of Lie type:characters, Schur-Weyl duality, Bratteli diagrams, and McKay correspondences quantum groups and crystal bases, particularly for superalgebras and affine algebras examples of fusion categories arising from representations of Drinfeld doubles and other algebras cohomology for finite tensor categories with applications to its underlying geometry

This meeting will feature principal contributors in these areas in a celebration of the work of Georgia Benkart. With the same focus and tenacity that Georgia always had, we will strive to provide a conference full of beautiful mathematics, incredible inspiration, and the warmth of Georgia’s welcoming personality to our field and our community.

Isaac Newton Institute for Mathematical Sciences (INI)

The goal of this conference is to bring together researchers in complex algebraic and differential geometry, working on notions of stability for algebraic varieties such as K-stability (and in particular the construction of moduli spaces of algebraic varieties), the existence of canonical metrics in Kähler geometry and the many nearby topics that interact with these areas. The relationship between K-stability and the existence of canonical Kähler metrics goes by the name of the Yau-Tian-Donaldson conjecture, and is motivated by a more classical correspondence between stability in the sense of geometric invariant theory and properties of moment maps as used in symplectic geometry—two of the overarching themes of the wider programme. This conference will emphasise the deep links between Kähler geometry, stability conditions and various related problems in equivariant algebraic and differential geometry.

Centre de recherches mathématiques (CRM)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Centre de recherches mathématiques (CRM)

Isaac Newton Institute for Mathematical Sciences (INI)

The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.

The International Centre for Mathematical Sciences (ICMS)

Hilbert’s twelfth problem asks for explicit constructions of the abelian extensions of a given number field, similar to what is known for the rational numbers and for imaginary quadratic fields. The workshop will focus on the breakthroughs in [DKa] and [DKb], with a lecture series by the two authors forming the cornerstone of the activity.

Centre de recherches mathématiques (CRM)

Massachusetts Institute of Technology (MIT)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Probability and Statistics, Game Theory,    Geometry and Topology

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)

Mathematisches Forschungsinstitut Oberwolfach (MFO, Oberwolfach Research Institute for Mathematics)