Conferences  >  Mathematics  >  Geometry and Topology

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.

Algebra,    Graph Theory and Combinatorics

ICMS - International Centre for Mathematical Sciences

Algebra,    Group Theory

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".

CRM / Université de Montréal

This workshop focuses on several themes related to the fundamental groups of 3-manifolds. The themes include: the theory character varieties, Thurston norm polytopes and fibrations, orderability, profinite rigidity, and variations on the Cannon conjecture. The first week of the workshop will feature mini-courses by Ian Biringer (Boston College), Michelle Chu (Minnesota), Nathan Dunfield (Illinois-Urbana), and Daniel Groves (Illinois-Chicago). The second week will be devoted to research talks.

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

This workshop will focus on geometry, topology and their applications to control systems. Control theory deals with the problem of shaping the behavior of "systems", which can mean an engineered object, such as a robotic arm used for remote surgery, or a natural one, such as a flock of birds or even the brain. The basic driving questions are how to control or design a system which performs as desired. Geometric and topological ideas have led to technological breakthroughs throughout the years, but geometric thinking in engineering has not yet permeated the mainstream. The goal of this workshop is to bring together a diverse group of engineers and scientists working in geometry, topology and their intersection, in order to open new frontiers of research and applications.

Institute of Mathematics at the University of Granada (IMAG)

Mathematical developments of the last decades indicate that geometry of high dimensions, when viewed correctly, creates remarkable order and simplicity rather than untamed complexity. Its applications permeated the fields of analysis and probability, reaching far away domains as Theoretical Computer Science and Statistical Physics while, simultaneously, methods and techniques came from a variety of directions ranging from classical analysis and probability to dynamical systems and topological methods. Recent striking results such as the near resolution of the Kannan, Lov\'asz and Simonovits (KLS) conjecture and the Bourgain slicing problem, the proof of the Gaussian Correlation Conjecture and advances in concentration of measure, make ripe the timing of this workshop on the effects of convexity and probability on high-dimensional geometric phenomena. By exploiting the scientific momentum, the workshop aims to engage a new generation in exciting collaborations and research directions.

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.

Design, analysis, and implementation of geometric algorithms and data structures; Computational complexity of geometric problems; Implementation and experimental evaluation of geometric algorithms and heuristics, including mathematical, numerical, and algebraic aspects; Discrete and combinatorial geometry; Computational topology, topological data analysis, and topological combinatorics; Applications of computational geometry in any field.

Graph Theory and Combinatorics,    Numerical Analysis and Computational Mathematics

CIRM – Centre International de Rencontres Mathématiques

Analysis,    Calculus, Differential Equations and Integration

Isaac Newton Institute for Mathematical Sciences (INI)

University of Debrecen; Hungarian Academy of Sciences

We have the pleasure to inform you that during the period 12-16th June, 2023, a  Colloquium on Finsler Geometry and its Applications will be held in Debrecen, Hungary, organized by the Department of Geometry, University of Debrecen, Hungary, in cooperation with the Debrecen Branch of the Hungarian Academy of Sciences.  The scientific program (13-15th June) is devoted to lectures given by the participants and invited lectures on various fields of Finsler geometry and applications to mathematical physics, and other fields. At the conference we will also celebrate the 100th birthday of the late Professor Lajos Tamássy.

Galileo Galilei Institute For Theoretical Physics

Max Planck Institute for Mathematics in the Sciences

The aim of the course is to learn how tools from algebraic geometry (in particular, from computational and real algebraic geometry) can be used to analyze standard models in molecular biology. Particularly, these models are key ingredients in the development of Systems and Synthetic biology, two active research areas focusing on understanding, modifying, and implementing the design principles of living systems. We will focus on the mathematical aspects of the methods, and exemplify and apply the theory to real networks, thereby introducing the participants to relevant problems and mechanisms in molecular biology. As a counterpart, however, the participants will also see how this field has in the past challenged current methods, mainly in the realm of real algebraic geometry, and has given rise to new general and purely theoretical results on polynomial equations. We will end our lectures with an overview of open questions in both fields.

Complex Networks,    Courses and Events for Math Students and Early Career Researchers

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,    Algebra

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.

University of Pau (UPPA), 64000 Pau (France)

This meeting is on manifolds with special holonomy (Kahler, Calabi-Yau, G_2, Spin(7), Quaternionic Kahler and hyperKahler) and their various accompanying notions of instantons. It will bring together people from Algebraic and Differential Geometry to Geometric Analysis, Theoretical Physics, with supergravity and string theory, and Artificial Intelligence.

Phone: [+33637678843];     Email: loubeau@univ-brest.fr

Special geometry, gauge theory, supergravity

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.

Algebra,    Number Theory, Arithmetic

CRM / Université de Montréal

The mini-courses and research talks will address several themes, including: nonpositively-curved cube complexes, median spaces, (coarsely) Helly spaces and groups, and various combinatorial notions of nonpositive curvature. The first week of the workshop involves mini-courses by Elia Fioravanti (MPI Bonn), Thomas Haettel (Université de Montpellier), Nima Hoda (ENS Paris), Nir Lazarovich (Technion). The second week will be devoted to research talks.

Group Theory,    Graph Theory and Combinatorics

Centre de recherches mathématiques (CRM)

The mini-courses and research talks will address several themes, including: nonpositively-curved cube complexes, median spaces, (coarsely) Helly spaces and groups, and various combinatorial notions of nonpositive curvature. The first week of the workshop involves mini-courses by Elia Fioravanti (MPI Bonn), Thomas Haettel (Université de Montpellier), Nima Hoda (ENS Paris), Nir Lazarovich (Technion). The second week will be devoted to research talks.

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

Mathematical Sciences Research Institute (MSRI)

This graduate summer school will introduce students to two important and inter-related fields of differential geometry: geometric flows and minimal surfaces.

MDPI

This conference is the 3rd of 5 meetings organized within the ERC project GeoMeG (Geometry of Metric Groups). The general plan is to bring together international researchers working in various areas of mathematics with connections to sub-Riemannian geometry or, more generally, metric geometry.

Introductory courses: June 19-20, 2023; Conference: June 21-23, 2023

Lie groups

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

Algebra,    Applied Mathematics (in general)

The workshop takes place from June 25-30, 2023 at the Böglerhof in Alpbach/Tyrol, Austria. This, the 16th in a series of Workshops in Alpbach, will feature minicourses given by world class researchers and invited talks by younger researchers, covering topics in arithmetic geometry related to Galois representations and heights.

Casa Matemática Oaxaca (CMO)

Convexity is a branch of classical mathematics and it is located at the confluence of geometry, analysis, topology and combinatorics. Although its origins can be traced back to Archimedes and its systematic study started at the end of the nineteenth century, it was not until the mid-twentieth century that convexity became a well established branch of mathematics. Nowadays, it is an important area that is attracting young researchers and students. Why? Because of its intrinsic beauty, it’s fascinating and intriguing open questions that have an instant intuitive appeal, but also, because of its many relations with other areas of mathematics and its multiple applications, such as in economics, engineering and data science. The purpose of this workshop is to bring together key people working in this area, in order to explore recent progress and to help focus on future research directions.

Renyi Institute

De Giorgi Center of the Scuola Normale Superiore, Pisa, Italy

Geometric analysis and geometric group theory are two fields which have 
seen rapid progress in recent years, with the development of powerful 
tools that have solved major open questions and opened up exciting new 
avenues of inquiry. Both these fields are very active but there have been relatively few 
opportunities to explore the interaction between them. The goal of this 
conference is to bring together world-leading experts from these two 
different research communities in order to enable exchange of ideas and 
explore potential new applications.

Geometric group theory, Geometric analysis, Geometric measure theory, analysis on metric spaces, quasiisometry, geometric flow, Ricci flow, quasisymmetry.

Analysis,    Group Theory

Courses and Events for Math Students and Early Career Researchers,    Algebra

University of California, Davis

Join us for a five-day workshop hosted by UC Davis with pending support from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and symplectic topology. The workshop will be preceded by introductory mini-courses on Zoom taking place June 22-23. Participants may register for either or both workshop components.

4-manifold trisections, symplectic topology

Mathematical Sciences Research Institute (MSRI)

The school is built around two related courses on geometric (‘derived spaces’) and categorical (‘derived categories’) aspects of the theory. Our goal is to explain the key ideas and concepts, while trying to keep technicalities to a minimum.

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

This workshop is organized around the themes of using refined invariants of algebraic varieties to study enumerative questions, with ideas coming from motivic homotopy theory, quadratic enumerative geometry, hermitian K-theory and beyond.

This conference is part of a thematic program on geometric group theory and low-dimensional geometry and topology organized by the Agol Lab at ICMAT.

CIRM – Centre International de Rencontres Mathématiques

ICMS - International Centre for Mathematical Sciences

This workshop will bring together researchers with common interests in fractals and related areas such as ergodic theory, geometric measure theory, and analysis. The aim of the workshop is to stimulate collaboration and research activity between the various groups in the UK, encourage and support the work of early career researchers in this area, and provide a platform for dissemination of work in fractal geometry.

Géométrie Algébrique en Liberté, also known as GAeL, is an annual workshop organized by and for young algebraic geometers. The aim of this workshop is to gather young mathematicians in this field of research and give them an opportunity to discuss freely without having to fear that their questions or viewpoints might be silly: hence the name of the workshop.

The Department of Mathematics of University of Patras and the Department of Electrical and Computer Engineering of University of Peloponnese

Description:

All areas of Topology and its Applications are included:

General Topology, Set-Theoretic Topology,

Geometric Topology, Algebraic Topology, Applied Topology.

In particular:

Topological Groups, Dimension Theory, Dynamical Systems and

Continua Theory, Computational Topology, History of Topology.

Email: georgiou@math.upatras.gr

Mathematical Sciences Research Institute (MSRI)

The goal of the summer school is for the students to first become familiar with the concept of concentration of measure in different settings (Euclidean, Riemannian and discrete), and the main open problems surrounding it. The students will later become familiar with the proof techniques that involve the different types of localization and obtain expertise on the ways to apply the localization techniques. After attending the graduate school, the students are expected to have the necessary background that would give them a chance to both conduct research around open problems in concentration of measure, find new applications to existing localization techniques and perhaps also develop new localization techniques.

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory

Banff International Research Station (BIRS) / UBCO

Geometry is all around us. The circles and triangles of the Ancient Greeks have never left us. Film, art, and architecture ha ve all been touched by mathematics and geometry. 3D printing, robotics, and origami are a new wave of geometry. At Geometry: Education, Art, and Research, leading researchers pair up with educations and artists to push the boundaries of contemporary geometry.

History and Philosophy of Science and Technology,    Public Lectures and Outreach

Algebra,    Number Theory, Arithmetic

CIRM – Centre International de Rencontres Mathématiques

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.

Algebra,    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.

ICERM

This will be a one-week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. This workshop is an activity of the Simons Collaboration 'Arithmetic Geometry, Number Theory, and Computation' and is supported by the Simons Foundation.

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

Number Theory, Arithmetic,    Numerical Analysis and Computational Mathematics

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!

Algebra,    Courses and Events for Math Students and Early Career Researchers

Courses and Events for Math Students and Early Career Researchers,    Algebra

Banach Center

ICMS - International Centre for Mathematical Sciences

The principal objective of the workshop is to bring together researchers in the relevant areas to consolidate recent advances, present new results and encourage collaborations on extensions of recent work or new ideas.

Graph Theory and Combinatorics,    Complex Networks

The Domoschool 2023 edition wants to focus on these issues: one of the most debated current topics in the scientific environment concerns the dynamics of galaxies. The problem concerns both the cosmological scales, given that the galaxies appear to move away from each other with increasing acceleration, and the galactic scales since the gases that form the surrounding halo appear to rotate around each galaxy at a much greater speed than predicted by the Newton's theory of gravitation.

Event Secretariat;     Phone: [+39 388 984 3952];     Email: domoschool@arsunivco.eu

Dark matter, MOND, Einstein's equations, gluing theorems

Mathematical Physics,    Astronomy, Astrophysics and Cosmology

Galileo Galilei Institute For Theoretical Physics

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.

Christian-Albrechts-Universität zu Kiel

A workshop on Algebraic K-theory of spaces and related topics will be held at the University of Regensburg, during July 24-28, 2023. The goal of this workshop is to bring together researchers in the field, review aspects of the deep interactions between algebraic K-theory

and manifold topology, and discuss various developments in the field, especially, from the perspective of the algebraic K-theory of spaces

and its varied connections.

University of Regensburg, Faculty of Mathematics

Casa Matemática Oaxaca (CMO)

The workshop is designed to explore the interactions that exists between set theory, topology, and algebra. The focus of the workshop will be on the study of topological problems of set-theoretic flavor arising in topological algebra and algebraic topology, as well as the study of topological games and homogeneity.

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

Westfälische Wilhelms-Universität Münster Mathematisches Institut – AG Differentialgeometrie

The purpose of the meeting is to study relationships between local and global invariants in Riemannian Geometry. Our intention is to bring together experts in the field as well as young mathematicians.

Analysis,    Calculus, Differential Equations and Integration

University of Regensburg, Faculty of 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.

Algebra,    Graph Theory and Combinatorics

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

The workshop is concerned with geometric objects arising from polynomial equations known as algebraic curves. Such curves have been studied extensively since the 19th century, but recent developments in combinatorics have led to a plethora of new techniques and solutions to major problems in the field. Bringing together experts from classical algebraic geometry and the adjacent combinatorial areas, the workshop aims to bridge the different points of views, identify key open problems in the field, and to examine how progress can be achieved via a combination of old and new tools.

Calculus, Differential Equations and Integration,    Graph Theory and Combinatorics

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

Mathematical Physics,    Algebra

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,    Algebra

Casa Matemática Oaxaca (CMO)

This workshop will concentrate on the development on new topological tools to capture the structure of data that depends on many parameters simultaneously. The meeting will provide an welcome opportunity to bring together many parts of mathematics to support topology in this work, and to discuss a new range of potential exciting applications.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to working on open problems relating quantum invariants to low-dimensional topology and geometry.

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

Algebra,    Number Theory, Arithmetic

This is a residential summer school on the theme of translating notions in manifold topology to a symplectic setting.

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.

Banach Center

This conference is a celebration of the mathematical career of Szymon Dolecki, representing advances in the various fields he contributed to: Control Theory and observability (main speaker: Enrique Zuazua), Optimization (main speaker: Jean Paul Penot), Topology (main speakers: Alexander V. Arhangel’skii, Ahmed Bouziad, Jean Goubault-Larrecq, Steve Watson), as often as possible from the point of view of the unifying theme of convergence space theory (workshop leader: Frédéric Mynard), a domain of which he is one of the most prominent world specialist and that centrally occupied the later part of his career.

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.

Courses and Events for Math Students and Early Career Researchers,    Algebra

The BTM is an annual meeting for the UK topology community.

The BTM will be preceded by an Early Careers Conference, to take place on the afternoon of Tuesday 5th September and the morning of Wednesday 6th September, aimed at PhD students and other early career topologists.

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.

This conference is focused on the topics of moduli spaces, including configuration spaces and hyperplane arrangements, braid groups, mapping class groups and quantum representations. The goal is to bring together researchers working in different areas under the general umbrella of "moduli spaces" and to encourage the discovery of new connections between these areas.

This school on Topological Recursion and Integrability is organized with the goal of introducing students and post-docs to the main tool and open questions in the area. The main content of the summer school is provided by four series of lectures by the four invited speakers who are experts in these fields of research.

Algebra,    Courses and Events for Math Students and Early Career Researchers

In the mini-courses, we give an advanced introduction to the theory of rational points on modular curves, under both theoretical and computational aspects. These courses would include an introduction to the geometry of modular curves, their ℚ-rational points, classical and non-abelian Chabauty methods, and related computational aspects. We also attempt to strike a balance between the more advanced topics and the down-to-earth examples.

In the discussion meeting, we wish to bring many experts across the world in the area of arithmetic geometry together to share their ideas and the current state of research that will facilitate future research in this direction. We strongly encourage participation of young researchers.

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

On the occasion of the 60th birthday of Tonghai Yang, we would like to bring together people from modular forms and arithmetic geometry to discuss recent advances in this conference.

CIRM – Centre International de Rencontres Mathématiques

The workshop is devoted to quantum spacetime and noncommutative geometry and the their connections to various branches of research, including strings and supersymmetry, field theory on noncommutative spaces, quantum symmetries and dualities, gravity and cosmology, fuzzy spaces and matrix models, higher homotopy structures in quantum field theory, particle and gravity phenomenology, integrable systems, quantum information and gravity, and black holes.

Astronomy, Astrophysics and Cosmology,    High Energy Physics, Particles and Fields

CIRM – Centre International de Rencontres Mathématiques

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

ICMS - International Centre for Mathematical Sciences

Topology is likely to be featured prominently in any truly useful quantum computation scheme. The hurdle of scalable fault-tolerance is insurmountable with the current incremental progress -- while it is possible to engineer systems supporting hundreds of physical qubits, applications beyond academic interest require millions of qubits to implement robust error correction. Topological quantum computation (TQC) relies upon the preparation of topological phases of matter supporting non-abelian anyons to perform inherently fault-tolerant operations. As errors are corrected at the hardware level through the topological nature of anyons, the problem of scalability is simultaneously overcome. On the other hand, despite years of effort we still don't have unassailable confirmation that non-abelian anyons exist. This workshop will bring together researchers in a diversity of fields in and around TQC for the purpose of broadening and deepening the subject, with an eye towards accelerating the realization of scalable technology.

Quantum materials, Low Temperature Physics,    Quantum Mechanics and Quantum Information Theory

Banach Center

The conference concerns the broadly understood mathematical analysis, in particular, the so-called geometric analysis (including calculus of variation and partial differential equations of geometric origin, Sobolev spaces theory on manifolds and on metric spaces, and knot theory issues related to curvature energies).

Analysis,    Calculus, Differential Equations and Integration

CIRM – Centre International de Rencontres Mathématiques

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

The Banff International Research Station will host a diverse, international group of mathematicians in 2023 to study geometric approaches to fluids and optimal transport. The ideas of geodesic settings for fluids have been circulating since the late 1960s, but received a strong surge lately, in the last 5-10 years, with the development of new techniques in infinite-dimensional geometry and group theory. The original idea is that the particles in an ideal liquid or gas move in a curved infinite-dimensional space, in the same way as an airplane flying around the earth: along the shortest path. Properties of the fluid, such as how well it can be predicted in the future, how well it mixes together, and how extreme the speed can be, can all be related to how curved this infinite-dimensional space is, which helps us understand features of the weather and climate geometrically. More recently similar ideas have been used to understand solids as well, for example when a pile of rocks are transported from one place to another at the optimal cost.

Condensed Matter Physics and Materials,    Thermodynamics, Fluid Dynamics and Statistical Physics

CIRM – Centre International de Rencontres Mathématiques

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

Many important questions in convex geometry are related to the study of sections and projections of convex bodies. For example, can convex bodies be uniquely determined by the size of their sections or projections? What are the largest and smallest sections of the cube? Do convex bodies with smaller sections have smaller volume? A common feature of all these problems is that they are solved with the help of harmonic analysis. The aim of the proposed workshop is to bring together leading experts and young researchers to discuss recent progress in applications of harmonic analysis to convex geometry.

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

The concept of manifold in mathematics corresponds approximately to the everyday idea of a smooth surface --- think of soap bubbles or sheets of fabric --- except that it can have any number of dimensions. A question that lies at the origin of topology, the mathematics of shape, is: can we write down a list of all manifolds? At first, such a classification was attempted through numerical invariants. Over time, the focus of algebraic topology has shifted from using numerical invariants to the algebraic objects underlying them, and then ascended further to studying moduli spaces. This workshop concerns recent breakthroughs in this philosophy for studying of manifolds, combining higher-algebraic methods with novel geometric techniques.

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

Algebra,    Number Theory, Arithmetic

CIRM – Centre International de Rencontres Mathématiques

Research Center Geometry at the Frontier

The Iberoamerican Geometry Congress (IGC) has a history of bringing together researchers and students from various mathematical communities in America, Spain, Portugal, and other regions of the world. The aim is to foster an exchange of ideas between mathematicians in different fields, connected by geometry, especially Riemann surfaces, abelian varieties and related areas. The VIII edition will take place at Pucón, Chile, on December 10-15, 2023. The preliminary program consists of eight plenary talks and four special sessions on Higher Dimensional Algebraic Geometry, Dynamical Systems, Algebraic Surfaces and Riemann Surfaces.

Email: geometryrc@ufrontera.cl

Complex Geometry, Algebraic Geometry, Riemann surfaces, Algebraic Surfaces, Dynamical Systems.

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

Algebra,    Graph Theory and Combinatorics

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.

Algebra,    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

Algebra,    Graph Theory and Combinatorics

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

Analysis,    Algebra

Number Theory, Arithmetic,    Graph Theory and Combinatorics

Mathematical Sciences Research Institute (MSRI)

This workshop brings together experts from different areas to discuss and foster collaboration on several topics of current interest related to Artin groups such as the K(π, 1) conjecture, hyperplane arrangements and abelian arrangements, combinatorial structures associated with dual Coxeter systems, and complexes of nonpositive curvature.

Group Theory,    Graph Theory and Combinatorics

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

Fields Institute

This conference will bring together communities working on two-dimensional Conformal Field Theory (CFT) from different perspectives, some of which have had only limited interactions so far. We are thinking here specifically of the communities working on the probabilistic approach to CFT, the algebraic & geometric approach to CFT, the operator algebraic approach to CFT, and the theoretical physics approach to 2d CFT.

High Energy Physics, Particles and Fields,    Mathematical Physics

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.

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

Courses and Events for Math Students and Early Career Researchers,    Algebra

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.

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 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)

Centre de recherches mathématiques, Université de Montréal

This school intends to present various developments in Riemannian and Kähler geometry around the notion of curvature seen as a tool to describe and understand the geometry of the objects. Each week of the session will have a different flavor, but similar problems and methods will be emphasized, and we expect this will lead to fruitful interactions. Our main target audience is young mathematicians, particularly graduate students and early-career researchers. We expect the school to give them the opportunity to learn key ideas and techniques of the field, with an emphasis on solidifying foundations in view of potential future research. Consequently, junior women mathematicians and those from under-represented minority groups will be given priority for financial assistance. We aim for 100 participants including at least 60 young researchers (PhD students, postdoc fellows). Moreover, the school will also feature problem sessions provided by lecturers and selected talks by young researchers.

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.

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

Courses and Events for Math Students and Early Career Researchers,    Numerical Analysis and Computational Mathematics

Centre de recherches mathématiques (CRM)

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)

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

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

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

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

Algebra,    Probability and Statistics, Game Theory

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

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

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

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

Courses and Events for Math Students and Early Career Researchers,    Probability and Statistics, Game Theory

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

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

Courses and Events for Math Students and Early Career Researchers,    Systems Biology and Computational Biology

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

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