Conférences - Algèbre

The Mathematics Academy is a unique opportunity for students interested in examining mathematical concepts rarely offered at the high school level. This rigorous, proof-oriented program will fuse lectures, problem sessions, demonstrations, and exploratory research to engage students.

Discrete Mathematics, Algebra and Number Theory, Geometry and Topology

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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.

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

Statistique, Théorie des jeux,    Mécanique quantique et l'information quantique

The workshop is a satellite of Computability in Europe 2019, which will be held July 15-19, 2019 in Durham, UK.

The Fields Institute

Applied model theory is currently experiencing a golden age. The past decade has seen fundamental contributions to a broad range of topics in algebra, geometry, number theory, combinatorics, and analysis.

Théorie des nombres, arithmétique,    Théorie des graphes et combinatoire

Casa Matemática Oaxaca (CMO)

The Fields Institute

University of Ottawa

The event focuses on operads and other higher structures. Although it will be oriented on Algebraic Topology and Category Theory, all communities are welcome.

The Fields Institute

Centre International de Rencontres Mathématiques (CIRM)

RESEARCH IN PAIRS

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

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

The Fields Institute

The beautiful utility of any duality is that it allows for the surprisingly meaningful flow of ideas between two disparate areas. Indeed, through Homological Mirror Symmetry, symplectic considerations have yielded concrete results in the theory of derived categories of coherent sheaves on algebraic varieties. These results are unexpected: the apparent flexibility of symplectic topology contrasts with the rigidity found in solutions of polynomial equations. That difference has been resolved by the surprising abundance found in the group of autoequivalences of the derived category. One particularly successful example was the paper of Seidel and Thomas on spherical twists, which inspired many successors and enjoyed further expansions.

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

The Fields Institute

The mathematical scope of the program is within noncommutative geometry, quantum groups, graph C*- algebras, KK-theory, index pairing, C*-dynamical systems and crossed products, Dirac operators, spectral triples, curvature, and quantum Gromov-Hausdorff distance. There are a number unifying principles which establish connections among the proposed topics of the meeting. For example, dynamical systems link together graph C*-algebras and noncommutative metric geometry. We aim to construct quantum metric geometries of crossed products and graph algebras relating the Lipschitz norm and Dirac-operator approaches. This links the metric and spectral features of noncommutative geometry. A key research focus of the proposed activities is to make precise the impact of metric and spectral noncommutative geometry on noncommutative topology. Graph C*-algebras are an abundant source of examples which test the bridges between the topics of the proposed conference.

Géométrie et topologie,    Théorie des groupes

This workshop, sponsored by AIM and the NSF, will be devoted to the zero distribution of random polynomials spanned by various deterministic bases.

Higher homotopical structures such as L-infinity algebras, gerbes, and generalised differential cohomologies are at the heart of string and M-theory. This has been recognised in special cases, and there is much evidence for higher structures to play a key role in understanding these theories. In addition, higher structures have been receiving much attention in mathematics and physics independently. Therefore, it is time to bring together experts in those areas to identify the pertinent open problems and discuss solution strategies. This symposium will combine lectures on the foundations, talks on recent advances, and open discussion sessions.

Group theory is a fundamental and highly active field of research within the mathematical sciences and has ramifications throughout all of mathematics and the sciences. There are large communities of group theory researchers in all continents, and they keep in touch through international meetings and conferences. However, local conditions and cultural circumstances under which mathematical research is done differ quite a bit between different regions of the world. The focus of this conference is on research in group theory in the USA and in China. One major goal of the conference is to establish and strengthen ties between group theorists in China and the US. It is the first conference in group theory with this focus. We will have about 15 invited talks and a limited number of contributed talks. The speakers from both countries will cover a large variety of the subjects in the area, which include representations of solvable groups, representations of simple groups, character theory, classes of groups, groups and combinatorics, recognizing simple groups from group invariants, p-groups, and fusion systems.

Tél.: [5122453735];     Email.: tk04@txstate.edu

Representations of solvable groups, representations of simple groups, character theory, classes of groups, groups and combinatorics, recognizing simple groups from group invariants, p-groups, and fusion systems

Centre International de Rencontres Mathématiques (CIRM)

The aim of the summer school is to gather young researchers arising from a quite wide mathematical area in order to build knowledge in two complementary fundamental theories. The first one is Bruhat-Tits theory which deals with the Euclidean buildings and integral models of reductive algebraic groups defined over a local field, the second one is the theory of Affine Grassmannians which are geometric objects arising from Representation Theory.

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

The purpose of the CONCUR conferences is to bring together researchers, developers, and students in order to advance the theory of concurrency, and promote its applications. CONCUR is co-located with: - the 17th International Conference on Formal Modelling and Analysis of Timed Systems (FORMATS 2019) - the Combined 26th International Workshop on Expressiveness in Concurrency and 16th Workshop on Structural Operational Semantics (EXPRESS/SOS 2019) - the 8th IFIP WG 1.8 Workshop on Trends in Concurrency Theory (TRENDS 2019) - the 4th International workshop on TIming Performance engineering for Safety critical systems (TIPS 2019) - the 9th Young Researchers Workshop on Concurrency Theory (YR-CONCUR 2019) CONCUR 2019 solicits high quality papers reporting research results and/or experience related to semantics, logics, verification and analysis of concurrent systems. All papers must be original, unpublished, and not submitted for publication elsewhere.

The 2nd Mediterranean International Conference of Pure&Applied Mathematics and Related Areas (MICOPAM 2019) will be held in Paris, France on August 28-31, 2019. The aim of the conference is to bring together leading scientists of the pure and applied mathematics and related areas to present their researches, to exchange new ideas, to discuss challenging issues, to foster future collaborations and to interact with each other.

Tél.: [+90 242 310 23 43];     Email.: micopam2018@gmail.com

Algebra, Analysis and its Applications, Combinatorics, Geometry, Mathematical Physics, Number Theory, Numerical Analysis and Scientific Computing, Partial Differential Equations, Probability and Statistics

Analyse,    Mathématiques appliquées (en général)

Casa Matemática Oaxaca (CMO)

The Henri Lebesgue Center

American Institute of Mathematics

The LMFDB contains a wealth of information on L-functions, modular forms of several types, elliptic curves and genus 2 curves, number fields, and much more. In addition to detailed information about individual objects, the LMFDB also includes information about connections between objects, including the connections described by the Langlands Program. The workshop will involve a mixture of demonstrations, explorations, discussions about mathematical content, and discussions about the future of the LMFDB.

The Illustrating Mathematics program brings together mathematicians, makers, and artists who share a common interest in illustrating mathematical ideas via computational tools. The goals of the program are to: introduce mathematicians to new computational illustration tools to guide and inform their research; spark collaborations among and between mathematicians, makers and artists; and find ways to communicate research mathematics to as wide an audience as possible.

Geometry and Topology, Algebra and Number Theory, Dynamics and Probability,

Géométrie et topologie,    Théorie des nombres, arithmétique

MAT TRIAD provides an opportunity to bring together researchers sharing an interest in a variety of aspects of matrix analysis and its applications in other area of science. Researchers and graduate students interested in recent developments in matrix and operator theory and computation, spectral problems, applications of linear algebra in statistics, statistical models, matrices and graphs as well as combinatorial matrix theory are particularly encouraged to attend.

matrix, matrix analysis, spectral theory, computational linear algebra, applications of linear algebra in statistics, statistical models, aplication in graph theory, combinatorial matrix theory

Mathématiques appliquées: Mathématiques numériques,    Théorie des nombres, arithmétique

The purpose of this workshop is to bring together researchers interested in Banach spaces and Banach lattices, and stimulate collaboration. The program consists of four mini-courses about recent developments of the theory, as well as plenary lectures by internationally renowned specialists. Invited speakers: Jesús M. F. Castillo (Universidad de Extremadura) Valentin Ferenczi (Universidade de S?o Paulo) Gilles Godefroy (Institut de Math?matiques de Jussieu) Anke Kalauch (Technische Universit?t Dresden) Ondřej Kalenda (Charles University Prague) Denny Leung (National University of Singapur) Mieczysław Mastyło (Adam Mickiewicz University) Eva Pernecka (Czech Technical University Prague) Gideon Schechtman (Weizmann Institute of Science) Vladimir Troitsky (University of Alberta)

Centre International de Rencontres Mathématiques (CIRM)

During the conference we want to concentrate on BPS/CFT correspondence which related the gauge theory partition functions to the calculations within conformal field theory and vertex algebras. One of the challenges is to understand better BPS/CFT correspondence for the case of compact manifolds.

Physique des hautes énergies, des particules et des champs,    Physique mathématique

In September 2019, the University of Nottingham hosts an LMS Regional Meeting. This will consist of a one-day meeting on zeta functions and a 2-day workshop on elliptic curves.

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

The aim of the conference is to allow PhD students and young researchers to share their knowledge and discuss topics in Algebra. The number of admissible participants is limited. Requests for a financial support to cover accommodation expenses must be indicated in the application form and will be evaluated by the organizers.

The Fields Institute

Kontsevich's original conjecture dealt solely with Calabi-Yau varieties. Later, it was realized that to incorporate Fano varieties into the statement one needed something a bit more general than varieties: the objects called Landau--Ginzburg models in physics. At its roughest a Landau--Ginzburg model is a (complex) variety X equipped with a regular function w:X→C. Landau--Ginzburg models provide theories where the interesting behavior localizes to the singular locus of w. As such, they are well-known in a number of mathematical fields. This workshop is meant to gather experts in a broad range of areas around the theme of Landau-Ginzburg models -- all of which are touched by HMS. Specific problems of interest are are the study of Fan--Jarvis--Ruan--Witten Theory and Homological Projective Duality through matrix factorizations in Algebraic Geometry and their dual realization in Fukaya Categories.

This workshop, sponsored by AIM and the NSF, is devoted to the working on the birational classification of noncommutative surfaces and related problems. The goal is that these related results would deal with important cases in Artin's conjectured classification and make progress towards an ultimate classification.

"The 8th Symposium on Generating Functions of Special Numbers and Polynomials and their Applications (GFSNP2019)" will be held, as a minisymposia whose title numbered by 28 in the Sessions - Minisymposia list, within "17th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM2019)" whose website: http://icnaam.org/.

The goal of GFSNP2019 is to bring together all the researchers working in various fields of Mathematics, Mathematical Physics-Engineering and related areas such as Analysis, Non-linear Analysis, Integral transforms, Number Theory, p-adic Analysis and Applied Algebra, Special Functions, q-analysis and Discrete Mathematics, Probability and Statistics, Mathematical Physics, Mathematical modeling and their applications. Our main aim is also to bring together theoretical, numerical and apply analyst, number theorists, (quantum) physicist working in the areas of generating functions of the special numbers and polynomials and their applications. All of the participants will likely lead to significant uncover new connections on these fields which are special numbers and polynomials, and also the family of zeta functions and L-functions.

Tél.: [+90 242 310 23 43];     Email.: ysimsek63@gmail.com

Mathematics, Mathematical Physics-Engineering, Analysis, Non-linear Analysis, Integral transforms, Number Theory, p-adic Analysis and Applied Algebra, Special Functions, q-analysis and Discrete Mathematics, Probability and Statistics, Mathematical Physics, Mathematical modeling and their applications.

Mathématiques appliquées (en général),    Analyse

Tula State Pedagogical University of Leo Tolstoy

The purpose of the XV International Conference «Algebra, Number Theory and Discrete Geometry: modern problems, applications and problems of history», dedicated to the centenary of the birth of professor N. I. Feldman and the ninetieth anniversary of the birth of professors A. I. Vinogradov, A. V. Malyshev and B. F. Skubenko.

Théorie des nombres, arithmétique,    Géométrie et topologie

The representation theory group at Bielefeld will celebrate in September 2019 the 50th anniversary of the Faculty of Mathematics with a workshop. Right after the workshop the Faculty of Mathematics will host a two day conference (26-27 September).

Bielefeld University, Faculty of Mathematics

The Faculty of Mathematics will host this conference about outer space, groups of (outer) automorphisms of free groups and related topics. In addition to the talks, there will be a session on open problems in this area. This is one of the accompanying workshops of the 50 Years Faculty of Mathematics Anniversary Conference.

The conference is dedicated to the memory of the outstanding topologist Volodymyr Sharko to commemorate his contributions to the Morse theory, K-theory, L2-theory, homological algebra, low-dimensional topology and dynamical systems.

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

Centre International de Rencontres Mathématiques (CIRM)

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

Casa Matemática Oaxaca (CMO)

Centre International de Rencontres Mathématiques (CIRM)

It seems to us that this is the right time to push further the interplay between measurable, topological and Borel dynamics, which is already quite rich and deserves to be popularized. We hope that this conference will help achieve this goal; and we feel that it is important to have young people attend the meeting and have them become acquainted with techniques and ideas from all three areas. For this reason, we plan to leave some time in the program for open discussion between participants, as well as hold problem sessions.

This workshop, sponsored by AIM and the NSF, will be devoted to the study of the double ramification cycle in the moduli space of stable curves and its relation with the theory of integrable systems of PDEs, with a special stress on the double ramification hierarchy, a construction associating to any cohomological field theory an integrable system of PDEs and its quantization.

Centre International de Rencontres Mathématiques (CIRM)

By work of Darboux, and later Jouanolou, a polynomial vector field on the complex projective plane has only algebraic solutions if and only if it has sufficiently many such solutions, or equivalently, if there are enough algebraic curves left invariant by the vector field. In light of this, to decide whether a polynomial vector field is algebraically integrable we propose to relate numerical invariants not only of curves in the plane, but also of varieties in higher dimensional projective spaces, to the degree of vector fields that are tangent to these varieties. Since the work of Poincare, such ´ bounds have been investigated in many papers with different techniques. We plan to employ methods mainly from commutative algebra, combining fairly recent advances on Castelnuovo-Mumford regularity, in particular the regularity of ideal powers, with more classical tools from singularity theory​.

RESEARCH IN PAIRS

Basic topics of the symposium: Graphs, Informatics, Аlgebra

Théorie des graphes et combinatoire,    Théorie de l'information, fondations de l'informatique

Centre International de Rencontres Mathématiques (CIRM)

The purpose of this workshop is to bring together researchers from different areas in order to share different points of view and to make collaborations possible, with the ultimate aim that this will result in new connections and possibly unexpected breakthroughs.

WORKSHOP

Géométrie et topologie,    Théorie des graphes et combinatoire

The Conference will discuss the issues of - infinite dimensional holomorphy, - topological tensor products, - Banach space theory, - operator theory, - topological algebra, - geometric and infinite dimensional topology.

Casa Matemática Oaxaca (CMO)

Email.: mnoce@unisa.it

Théorie des groupes,    Géométrie et topologie

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

The theory of subfactors of von Neumann factors, founded by Fields Medalist Vaughan Jones, is an exciting and extremely active area of mathematics that has profound connections with low dimensional topology, group theory, conformal field theory, statistical mechanics, quantum information theory and many others. At the heart of these interactions lies a surprising world of quantum symmetries that subfactors seem particularly suitable at capturing. New links between subfactor theory and quantum computing have recently been established as well.

The workshop aims at bringing together experts from these different areas to learn from each other, discuss problems and present new ideas at the frontier of these exciting developments.

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

This workshop, sponsored by AIM and the NSF, will be devoted to studying geometric realizations of Langlands functoriality via cycles on Shimura varieties.

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

Casa Matemática Oaxaca (CMO)

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

Centre International de Rencontres Mathématiques (CIRM)

The goal of this conference is to gather people interested in holomorphic interpolation and related subjects, including sampling theory, uniqueness problems, and reproducing kernel Hilbert spaces.

Mathematical Sciences Research Institute (MSRI), Berkeley

Holomorphic differentials on Riemann surfaces have long held a distinguished place in low dimensional geometry, dynamics and representation theory. Recently it has become apparent that they constitute a common feature of several other highly active areas of current research in mathematics and also at the interface with physics. In some cases the areas themselves (such as stability conditions on Fukaya-type categories, links to quantum integrable systems, or the physically derived construction of so-called spectral networks) are new, while in others the novelty lies more in the role of the holomorphic differentials (for example in the study of billiards in polygons, special - Hitchin or higher Teichmuller - components of representation varieties, asymptotic properties of Higgs bundle moduli spaces, or in new interactions with algebraic geometry).

4th International Conference on Combinatorics, Cryptography, Computer science and Computation (I4C2019) will be held in, Iran University of Science and Technology, Tehran, Iran 2019. Original research papers in the areas of algebra mathematics, algorithms, theory of computation, computational complexity, and combinatorics related to computing are solicited. In addition to theoretical results, we are particularly interested in submissions that report on experimental and applied research of general algorithmic interest. Special consideration will be given to research that is motivated by real-world problems

Email.: i4c@iust.ac.ir

Algorithms and Data Structures, Algorithmic Game Theory, Approximation Algorithms and Online, Algorithms, Automata, Languages, Logic, and Computability, Complexity Theory, Computational Learning Theory and Knowledge Discovery, Cryptography, Reliability and Security, and Database Theory, Computational Biology and Bioinformatics, Computational Algebra, Geometry, and Number Theory, Graph Drawing and Information Visualization, Graph Theory, Communication Networks, and Optimization, Parallel and Distributed Computing,

Mathématiques appliquées: Cryptographie, blockchain et sécurité de l'information,    Théorie des graphes et combinatoire

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

RWTH Aachen

Categorification is a relatively new and very exciting field of mathematics bridging a number of inter-related areas, including representation theory, combinatorics, algebraic geometry, geometric topology, and mathematical physics. Its philosophy is that many mathematical structures that appear to be fundamental are, in fact, mere shadows of a higher and richer mathematical reality. The aim of this workshop is to bring together researchers working in the various facets of categorification.

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Notre projet va consister à nous focaliser sur le cas particulier de fonctions différentiellement finies de nature arithmétique, plus précisément sur les E- et G-fonctions, qui ont été introduites par Siegel [19] en 1929.

RESEARCH IN PAIRS

Kyoto University/Tohoku University

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

The first Algebra, Codes and Cryptography conference will be held in Dakar, Senegal on Thursday to Saturday, December 5-7, 2019. The conference aims to provide a forum for researchers from all over the world to present results and exchange ideas on topics in non-associative algebras, non-commutative algebras, cryptology, coding theory and information security.

Banaras Hindu University Varanasi, University of Strasbourg

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

Kyoto University/Nihon University

Kyoto University/Waseda University

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

Kyoto University/National Defense Academy

Mathématiques appliquées (en général),    Mathématiques appliquées: Mathématiques numériques

Kyoto University/Kobe University

Théorie des graphes et combinatoire,    Théorie des groupes

The purpose of the conference is to contribute to the recent development of Algebra and to bring together the algebraists from all over the world working in the related areas to present their researches, to exchange new ideas, to discuss challenging issues, to foster future collaborations and to expose young researchers.

Tél.: [+919412517492];     Email.: icarta019@gmail.com, mashraf80@hotmail.com

Semigroups, Groups and their Representations, Theory of Rings and Modules, Commutative and Noncommutative Algebras, Lattices and other related structures, Galois Theory and their applications, Linear Algebra and its applications, Category Theory, Algebraic Geometry, Coding Theory and Cryptography, Graph Theory

Centre International de Rencontres Mathématiques (CIRM)

Representation theory is the study of the basic symmetries of mathematics and physics. Recently, it has known some spectacular developments, thanks to the introduction of new technics such as categorical representations or parity sheaves. The continued development of the subject has motivated a trimester in representation theory at the IHP that will take place in 2020 from January to March. This program will begin with an introductory conference. It will consist of 6 mini-courses on the main topics (categorifications and quantum groups, quiver varieties, character varieties, geometric representation theory). It is devoted to younger researchers, but also to senior ones in order to promote the discussions between young mathematicians and seniors.

Cours et évènements pour étudiants en mathématiques,    Physique mathématique

Centre International de Rencontres Mathématiques (CIRM)

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

Kyoto University/Keio University

The Fields Institute

The purpose of the workshop is to accelerate the development of this emerging subject and to extend its applications to other areas, in particular to group theory, geometry and combinatorics.

Kyoto University

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

Kyoto University/Toho University

Logique mathématique,    Théorie de l'information, fondations de l'informatique

Banff International Research Station for Mathematical Innovation and Discovery

The modern approaches to computing algebraic K-groups step through equivariant commutative ring spectra via the natural S1-action on topological Hochschild homology. Ongoing and transformative work by Bhatt--Morrow-Scholze in p-adic Hodge theory uses cyclotomic spectra and therefore subtle equivariant information. This workshop, at the vanguard of work in this area, seeks to bring together experts in algebraic topology, (derived) algebraic geometry, and number theory to explore these exciting new connections.

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

Géométrie et topologie,    Mathématiques appliquées: Mathématiques numériques

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

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

Centre International de Rencontres Mathématiques (CIRM)

Johns Hopkins University

Centre International de Rencontres Mathématiques (CIRM)

Significant developments in the spectral analysis of non-self-adjoint operators since the turn of the millennium include the explicit construction of well-localised almost-eigenvectors, the systematisation of the notion of pseudospectra and the rigorous setting of unbounded solvers for evolution problems. At the same time, a deep understanding of complicated physical phenomena such as cloaking in metamaterials, turbulence and explosive behaviour, has been achieved by means of close examination of the underlying non-self-adjoint operators. These developments involve combining techniques from diverse disciplines and in recent years groups who had been working on similar problems from different perspectives, often using different terminology, have been unaware of each other.

Mathematical Sciences Research Institute (MRSI)

This workshop will focus on recent developments in factorization homology, parametrized homotopy theory, and algebraic K-theory. These seemingly disparate topics are unified by a common methodology, which leverages universal properties and unforeseen descent by way of higher category theory. Furthermore, they enjoy powerful and complementary roles in application to the cyclotomic trace.

University of Glasgow

Algebra & Representation Theory, Mathematical Physics, Number Theory, Operator Algebras, Analysis, Topology, Algebraic Geometry, Group Theory, Combinatorics

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

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

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

The Fields Institute

The eighth edition of ARTA will present recent research developments in tilting and \tau-tilting theory, torsion theory, combinatorial methods in representation theory, geometric representation theory, module categories and self-injective algebras, homological methods in representation theory, triangulated categories, derived categories and relationship with cluster algebras. We will also explore the deep links with other closely related areas such as Lie theory and geometry, as well as possibly new research directions that would appear between now and the conference.

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Théorie des groupes,    Géométrie et topologie

Institute for Mathematical Sciences/National University of Singapore

Interactions between people working in Index Theory and Complex Geometry are increasing. One of the reasons is that although researchers use different tools and techniques, their studies have profound connections and are understandable to people from both sides. Sharing experiences and techniques is an opportunity for them to accelerate collaboration works. Index Theory and Complex Geometry recently both have spectacular developments. In this program, we plan to dig out more materials on complex geometry side of global analysis led by recent development on geometric hypoelliptic Laplacians.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Banff International Research Station for Mathematical Innovation and Discovery

One of the big ideas in modern mathematics is that integers (like 1, 2, 3, 4, 5, ...) in many formal ways behave similarly to polynomial equations (like y = x^2, which defines the parabola). Frequently, and perhaps surprisingly, many questions in mathematics are easier to study for polynomials than for integers. Hence intuition and results for polynomials can tell us about the integers. Commutative algebra lives at the intersection of both perspectives, and one fundamental object of study is polynomials with integer coefficients, this is called the mixed characteristic case. Recently, Yves Andre proved a long standing open conjecture in commutative algebra in this mixed characteristic setting, relying on constructions of Scholze (and then Bhatt gave a simplified proof of the same conjecture). This workshop aims to foster and discuss these and other recent tools, to study some remaining open problems in mixed characteristic. The workshop will bring together a diverse group of researchers from different fields, such as commutative algebra, algebraic geometry, and number theory.

Centre International de Rencontres Mathématiques (CIRM)

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

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

RESEARCH SCHOOL

Mathématiques appliquées (en général),    Cours et évènements pour étudiants en mathématiques

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

Hausdorff Center for Mathematics

University of Coimbra, Portugal

This conference is dedicated to honor Alberto Elduque on the occasion of his 60th birthday. In the past 30 years, Professor Elduque has significantly contributed to the progress of Algebra, notably to the theory of non-associative graded algebras. Our aim is to bring together those mathematicians who have been important in Elduque’s scientific career, whether his professors, collaborators, students, or simply his fellow travellers in the journey of math.

University of Michigan in Ann Arbor

Hausdorff Center for Mathematics

Banff International Research Station for Mathematical Innovation and Discovery

An equation is called Diophantine if whole number or fractional solutions are sought. Diophantine equations are named after Diophantus of Alexandria, a 3rd century mathematician and were popularized by Pierre de Fermat, a 17th century lawyer and amateur mathematician. Unlike most branches of mathematics, many Diophantine questions and theorems can be understood and appreciated by the general public, and the subject is a favourite with popularizers of mathematics. The methods for tackling Diophantine equations are however deep and varied, and the subject has recently experienced an explosion of new directions and results. This workshop will bring together experts and young scholars to explore these new directions and stimulate further research into Diophantine problems.

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

Centre International de Rencontres Mathématiques (CIRM)

Statistique, Théorie des jeux,    Analyse

Centre International de Rencontres Mathématiques (CIRM)

Analyse,    Physique de la matière condensée et des matériaux

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

Géométrie et topologie,    Théorie des graphes et combinatoire

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

WORKSHOP

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Théorie des groupes,    Physique mathématique