Conférences - Algèbre

Mathematical Sciences Research Institute (MRSI)

Representation Theory has undergone a revolution in recent years, with the development of what is now known as higher representation theory. In particular, the notion of categorification has led to the resolution of many problems previously considered to be intractable. The school will begin by providing students with a brief but thorough introduction to what could be termed the “bread and butter of modern representation theory”, i.e., compact Lie groups and their representation theory; character theory; structure theory of algebraic groups. We will then continue on to a number of more specialized topics. The final mix will depend on discussions with the prospective lecturers.

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

We are pleased to invite you to participate in the Petersburg Positivity 2022. This time it will be held as a satellite to the International Congress of Mathematicians (ICM, July 6-14). Visa-free entry will be supported by ICM. Please, subscribe to future updates on the conference website. The research subject "positivity" is the area in mathematics that is devoted to order structures and their applications. Some of the topics included: ordered algebraic & topological structures, Banach lattices, Banach spaces, function spaces, positive and order bounded operators, operator algebras, non-standard analysis, and Boolean valued models, Boolean algebras and stochastic processes, applications to mathematical finance.

Analyse,    Logique mathématique et fondements

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

Methods of Mathematical Physics have always been inspired by the results in (Differential and Algebraic) Geometry. In the second half of the 20th century we witnessed the opposite phenomenon: the ideas from Physics have found their way into Geometry and many other branches of Mathematics and proved to be fruitful and influential there. One of the central concepts, around which this interaction has been revolving, is Integrability. The conference is intended to bring together leading specialists in these fields to promote the collaboration and exchange of ideas.

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

CIRM – Centre International de Rencontres Mathématiques

Mathematical Sciences Research Institute (MRSI)

Cours et évènements pour étudiants en mathématiques,    Calcul infinitésimal, équations différentielles et intégrales

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

The Symmetries in Graphs, Maps, and Polytopes Workshop has been providing researchers interested in symmetries of discrete objects and structures to meet, share results, discuss open problems, and start new collaborations every four years since its inaugural meeting in 1998 in Flagstaff, Arizona. SIGMAP2022 will be held at the University of Alaska Fairbanks, and will provide an intimate setting for learning about recent developments in the study of symmetry of discrete geometric objects such as graphs, maps, polytopes, and maniplexes, discussing open problems in the area, and forming collaborations to tackle them.

University of Colorado Boulder

The goal of this summer school is to introduce participants to tools and ideas from algebraic topology and homotopy theory that are used in the study of fixed point theory. This will be a problem set focused summer school surrounding four mini-courses.

1) Fixed point theory and Nielsen theory 2) Categorical Approach to Duality 3) Spectra 4) Trace Methods

Pacific Institute for the Mathematical Sciences

The two-week summer school will be valuable for students learning homotopy theory, symplectic geometry, and applications of Floer theory to low-dimensional topology. One goal of the summer school is to increase the number of researchers familiar with the techniques and problems in both modern homotopy theory and symplectic geometry, but the school will also be useful to students interested only in homotopy theory or only in Floer theory.

Mathematical Sciences Research Institute (MRSI)

The goal of the summer school is to provide participants the tools in symplectic geometry and stable homotopy theory required to work on Floer homotopy theory. Students will come away with a basic understanding of some of the key techniques, questions, and challenges in both of these fields. The summer school may be particularly valuable for participants with a solid understanding of one of the two fields who want to learn more about the other and the connections between them.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

A satellite conference of ICM 2022

The International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC) is an interdisciplinary conference series, focusing on recent advances in algebraic and enumerative combinatorics as well as applications and relations to other areas of mathematics, physics, biology and bioinformatics, and computer science. As the most important algebraic and enumerative combinatorics conference in the world, FPSAC's one-week annual meeting brings together researchers in the international algebraic combinatorics community as well as other areas of combinatorics and theoretical computer science, and links them with leading scientists from allied disciplines in pure and applied mathematics, bioinformatics and physics.

Topics include all aspects of combinatorics and their relation to other parts of mathematics, physics, computer science, chemistry and biology

The ICM 2022 satellite conference Modern Trends in Representation Theory will take place in the picturesque mountain region of Altai Republic, located about 900 kilometers from Novosibirsk, Russia. The topics of the conference include but not limited to classical representation theory of Lie algebras and Lie groups, geometric representation theory, quantum groups, geometric quantization and integrable systems, cohomology of groups and algebras, algebraic invariant theory, vertex algebras, low-dimensional topology. For more information please visit the website of the conference https://mca.nsu.ru/altai2022/

University of Oregon

In the summer of 2022, the University of Oregon will host a graduate instructional workshop followed by a collaborative research workshop to promote diverse collaborations. While both of these workshops focus on algebraic and p-adic aspects of automorphic forms, L-functions, and related topics, the two workshops are independent. Applicants are encouraged to apply for one or both of the workshops, and funding decisions will be determined separately for each.

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

Cours et évènements pour étudiants en mathématiques,    Calcul infinitésimal, équations différentielles et intégrales

University of Sarajevo and The Fibonacci Association

The purpose of the conference is to bring together people from all branches of mathematics and science with interests in recurrence sequences, their applications and generalizations, and other special number sequences. For the conference proceedings, manuscripts that include new, unpublished results (or new proofs of known theorems) will be considered.

Tél.: [+38761145552];     Email.: lejla.smajlovic@efsa.unsa.ba

Recurrence sequences, number sequences, properties of objects associated to recurrence and number sequences, applications of recurrence sequences.

Théorie des nombres, arithmétique,    Théorie des graphes et combinatoire

Faculty of Mathematics and Physics of the Charles University, the Institute of Mathematics of the Czech Academy of Sciences and the Faculty of Information Technology of the Czech Technical University

Géométrie et topologie,    Analyse

Calcul infinitésimal, équations différentielles et intégrales,    Mathématiques appliquées (en général)

The conference is held on the occasion of Peter Newstead's 80th birthday. Please see the web page for up-to-date information.

University of Oregon

In the summer of 2022, the University of Oregon will host a graduate instructional workshop followed by a collaborative research workshop to promote diverse collaborations. While both of these workshops focus on algebraic and p-adic aspects of automorphic forms, L-functions, and related topics, the two workshops are independent. Applicants are encouraged to apply for one or both of the workshops, and funding decisions will be determined separately for each.

Automorphic forms are present in almost every area of modern number theory. In recent decades there has been a starburst of activity and progress in this broad area, leading to many new and exciting directions, applications, and connections with other areas. This is a rapidly expanding area, with numerous approaches, tools, and interconnections, as well as connections to other areas of mathematics. The Building Bridges research school offers training to graduate students and early career researchers in the areas of automorphic forms and related topics that continue to be the foci of exciting and influential research activity. The five-day workshop immediately following the summer school aims to foster and strengthen a long-lasting, friendly and supportive exchange between automorphic forms researchers in the EU and the US, and to integrate the summer school students into this community.

Mathematical Sciences Research Institute (MRSI)

The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

Casa Matemática Oaxaca (CMO)

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

The aim of the school is to give an overview of established results and current research on elliptic curves by covering the whole spectrum of techniques developed so far. There will be 6 courses of 3 hours each plus exercises sessions.

Cours et évènements pour étudiants en mathématiques,    Analyse

There will be an EMS (European Mathematical Society) summer school on Combinatorial Commutative Algebra at Gebze Technical University (in Turkey) on August 8-12, 2022. The summer school is part of a larger event acronymed SCALE (Symbolic Computation: Algorithms, Learning, and Engineering). The main goal of this summer school is to create an environment for participants, especially for postdocs and graduate students, to learn about some of the foundational topics and emerging research directions in combinatorial commutative algebra. Three courses will be offered by the invited speakers (Jürgen Herzog, Takayuki Hibi, Sara Saeedi Madani) and the participants will be given the opportunity to present short talks or posters. There will be support for accommodation and travel costs of students and early stage researchers. If you wish to apply for support, please submit your application by May 15, 2022. Please visit the webpage https://scale.gtu.edu.tr/CCA.html for more details including registration and funding application links.

Trace ideals, combinatorics, convex polytopes, monomial ideals, toric rings, binomial ideals, graphs

Valdosta State University

The Department of Mathematics at the Valdosta State University is pleased to announce the VSU CBMS Conference on Topological Data Analysis and Persistence Theory which will be held from August 8 to August 12, 2022. The main goal of this conference is to provide an introduction to topological data analysis (TDA) and persistence theory (PT) to a broader audience. TDA and PT are relatively recent methods useful for finding important features in large data sets using ideas from traditionally theoretical branches of mathematics such as algebra and topology.

International Centre for Theoretical Sciences (ICTS) of the Tata Institute of Fundamental Research

The arithmetic of special values of L-functions continues to reveal mysterious facets. The celebrated Birch and Swinnerton-Dyer (BSD) conjecture connects the structure of the set of rational points on an elliptic curve to the associated Hasse-Weil L-function. The Bloch-Kato conjecture is a vast generalization, encompassing geometric Galois representation. Over the last decade, the BSD conjecture and the Bloch-Kato conjecture have witnessed notable progress. The Gan-Gross-Prasad conjecture and variants have undergone striking advances as well. Following the online precursor last year, the program aims to report on some of these recent and emerging developments. An introduction to the recent progress towards the Brumer-Stark conjecture will also appear.

Cours et évènements pour étudiants en mathématiques,    Cryptographie, blockchain et sécurité de l'information

The purpose of the conference is to bring together experts in Group Theory, Combinatorics and Computing to discuss computational, algorithmic and application aspects that have recently emerged at the interface between these areas. These areas are fundamental now to modern communications and have values for the economy and the continuing upgrading and staying ahead in our undergraduate and postgraduate programs in these important developments. We will focus somewhat on different applications to other sciences. We will also explore computational approaches like Computational Group Theory that give rise to new methodology in proving theoretical results.

Combinatorics, Computing, Group Theory and Applications

The year 2022 marks the centenary of Mordell's 1922 paper "On the Rational Solutions of the Indeterminate Equations of the Third and Fourth Degrees", in which Mordell both established the foundational result in the arithmetic of elliptic curves (finite generation of rational points), and proposed what later became Mordell's Conjecture (and subsequently Faltings' Theorem). In recognition of this anniversary, this conference will be a celebration of all aspects of the arithmetic of elliptic curves.

Théorie des nombres, arithmétique,    Cryptographie, blockchain et sécurité de l'information

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to effective approaches to geometric measure theory. Algorithmic Randomness and Effective Descriptive Set Theory provide a novel perspective to many concepts that are classically measure-based, such as randomness and Hausdorff dimension. A core feature of this perspective is that it links the geometric properties of a set to the logical and computational complexity of its points. The new techniques have been successfully applied to extend previous results in the area to larger classes of sets (beyond analytic), and also to shed new light on why in other cases such an extension is impossible. Examples include Marstrand's projection theorem and the capacitability of sets of real numbers. The goal of this workshop is to bring together researchers with expertise in computability, set theory, geometric measure theory, and related areas to further develop these new approaches.

MRSI – Mathematical Sciences Research Institute, Berkeley

The development of Floer theory in its early years can be seen as a parallel to the emergence of algebraic topology in the first half of the 20th century, going from counting invariants to homology groups, and beyond that to the construction of algebraic structures on these homology groups and their underlying chain complexes. In continuing work that started in the latter part of the 20th century, algebraic topologists and homotopy theorists have developed deep methods for refining these constructions, motivated in large part by the application of understanding the classification of manifolds. The goal of this program is to relate these developments to Floer theory with the dual aims of (i) making progress in understanding symplectic and low-dimensional topology, and (ii) providing a new set of geometrically motivated questions in homotopy theory.

The Fields Institute

The goal of this workshop is to foster collaboration between experts in the domains of Lie theory, quantized enveloping algebras, and algebraic combinatorics.

Mathematical Institute, University of Oxford

This summer school will feature three short courses, each comprised of five lectures. The school is aimed at a wide audience of graduate students and early career researchers; the requisite background material from model theory and o-minimality will be covered at the start of the week. Daily afternoon tutorial sessions will allow students time to work on problems and to ask questions.

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University

ELAZ stands for “Elementare und Analytische Zahlentheorie”, i.e. “Elementary and Analytic Number Theory”. It is a conference series held biannually since the year 2000. It is open to both young and experienced mathematicians, and is well known for its high scientific level. The conference ELAZ 2022 will be organised jointly by the Banach Center Institute of Mathematics of the Polish Academy of Sciences, the Polish Mathematical Society, and the Faculty of Mathematics and Computer Science of Adam Mickiewicz University. It will be held August 22-26, 2022 at the Faculty of Mathematics and Computer Science of Adam Mickiewicz University, Poznań, Poland. The suggested arrival date is Sunday August 21, 2022 and the departure day Saturday August 27, 2022.

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

The Research Institute for Mathematical Sciences (RIMS)

IWOTA 2022 will be held at the University of Agriculture in Krakow, Jagiellonian University and AGH University of Science and Technology in Krakow, Poland.

IWOTA 2022 is a part of International Workshop on Operator Theory and its Applications (IWOTA) series of meetings. IWOTA 2022 annually brings together mathematicians and engineers who work in functional analysis and its applications to related areas. IWOTA 2022 will be focused on the latest developments in Operator Theory, Functional Analysis, and related fields.

Differential equations and Integral equations, Complex analysis and Harmonic analysis, Linear system and Control theory, Mathematical physics, Signal processing, Numerical analysis

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

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

The Fields Institute

The study of metric spaces with upper and lower sectional curvature bounds is a rich and well developed subject that goes back some 60+ years to the work of A.D. Alexandrov. It has a wide variety of applications and connections with various areas of geometry such as geometric group theory, classical Riemannian geometry of manifolds with various sectional curvature bounds, integral geometry and the study of spaces with lower Ricci bounds.

Università degli Studi di Milano

Mathematical Sciences Research Institute (MRSI)

Over the last decade, there has been a wealth of new applications of homotopy-theoretic techniques to Floer homology in low-dimensional topology and symplectic geometry, including Manolescu’s disproof of the high-dimensional Triangulation Conjecture and Abouzaid-Blumberg’s proof of the Arnol’d Conjecture in finite characteristic. Conversely, results in Floer theory and categorification have opened new directions of research in homotopy theory, from string topology to S-Lie algebras. The goal of this workshop is to introduce researchers in Floer theory to modern techniques and questions in homotopy theory and, conversely, introduce researchers in homotopy theory to ideas underlying Floer theory and its applications.

CIRM – Centre International de Rencontres Mathématiques

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

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

Casa Matemática Oaxaca (CMO)

The Research Institute for Mathematical Sciences (RIMS)

The workshop Aspect'22 "Asymptotic Analysis & Spectral Theory" is expected to take place on September 26-30, 2022, in Oldenburg (Oldenburg).

CIRM – Centre International de Rencontres Mathématiques

The conference is aimed at exchanging on the latest results in the research areas of Diophantine Geometry and L-functions. This will be the opportunity to celebrate the accomplishments of Marc Hindry in these fields, in the occasion of his 65th birthday.

The Research Institute for Mathematical Sciences (RIMS)

ICACGA is an international conference focused on advanced computational applications of Geometric Algebra (GA) and related hypercomplex algebras such as quaternions and octonions. The reasons for investigating hypercomplex algebras for enabling advanced computational applications and, more specifically, data-centric applications range from theoretical aspects such as the unification of many mathematical systems into one easy-to-understand mathematical framework with an intuitive exploration of geometric objects and geometric operations to computational advantages such as direct integration of GA with standard programming languages, compactness and robustness of algorithms, implicit use of parallelism, and high runtime performance.

The Research Institute for Mathematical Sciences (RIMS)

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Institut Henri Poincaré (IHP)

The Research Institute for Mathematical Sciences (RIMS)

Casa Matemática Oaxaca (CMO)

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

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

The Fields Institute

This conference is intended to provide an overview of current research in homotopy theory, which has vastly expanded since its roots in the 19th century from the study of topological spaces by algebraic and combinatorial means to other fields of mathematics, including algebraic geometry, differential topology, and mathematical physics.

The Research Institute for Mathematical Sciences (RIMS)

Motives were originally introduced by Grothendieck in the sixties to provide a universal source to various cohomology theories of algebraic, geometric and arithmetic nature. The works of Hanamura, Levine and Voevodsky in the nineties, followed by many others, have shed a new light on the subject by introducing triangulated categories of motives and relating them to a newly defined homotopy category of schemes. More recent avatars of motives include the motives with modulus of Kahn, Miyazaki, Saito and Yamazaki or the log-motives of Binda, Park and Østvær, both purposely avoiding A1-invariance.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to applications of new theoretical and computations tools in equivariant stable homotopy theory to chromatic homotopy theory and algebraic K-theory. The recent renaissance in equivariant stable homotopy theory has provided many new tools which allow us to better understand classical problems and carry out new computations.

Professor Yilmaz Simsek, (Akdeniz University, Turkey)

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 2343];     Email.: micopam2018@gmail.com

Mathematical Analysis, Algebra and Analytic Number Theory, Combinatorics and Probability, Pure & Applied Mathematics and Related Areas, Mathematical Statistics and its applications, Recent Advances in General Inequalities, Mathematical Physics, Fractional Calculus and Its Applications, Polynomials and Orthogonal systems, Special numbers and Special functions, q-analysis and its applications, Approximation Theory and Optimization, Extremal Problems and Inequalities, Integral Transformations, Equations and Operational Calculus, Differential Equations and their applications, Geometry and Its Applications, Numerical Methods and Algorithms, Scientific Computation, Mathematical Methods and Computation in Engineering, Mathematical Geosciences, p-adic numbers, p-adic analysis and their applications, Mathematical Modelling, Marketing, Business and their applications, Mathematical Methods for Engineering Applications

Analyse,    Mathématiques appliquées (en général)

The Research Institute for Mathematical Sciences (RIMS)

Nagoya University

Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates

The AUA-UAEU Workshop on Graph Theory, Combinatorics and Applications (GTCA 2022) is to be held at UAEU, Al-Ain, UAE during the three days from 13 November to 15 November 2022. It is going to be organized by Department of Mathematical Sciences, UAE University in Collaboration with University of Indonesia, Jakarta, Indonesia. This is the second workshop. The 1st Workshop on Graph Theory, Combinatorics and Applications (GTCA 2019) was held on October 9-10, 2019 face to face by UAE University which attracted around 50 researchers from different parts of the word including participants from leading Universities of Europe and Asia and was a successful event.

Graph theory and combinatorics are closely related to many mathematical subjects, such as, topology, geometry and number theory and have a lot of applications in applied sciences, engineering and optimization problems. The workshop focuses on all aspects of graph theory, combinatorics and their applications. It dedicates to creating a platform for exchanging the latest research results and ideas; sharing the advanced research methods and latest trends in these areas and to develop further collaborations.

Tél.: [0097137136389];     Email.: m.imran658@uaeu.ac.ae

Graph Theory; combinatorics

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

The Fields Institute

Structures having Ricci curvature bounded either from below and/or from above in some sense have been at the center of intense investigations in the last ten years, the reason being the deep effect at the geometric, analytic and probabilistic level that this sort of assumption carries. The study of such bounds and their geometric and analytic effects therefore attracts a constellation of mathematicians with a diverse set of skills and backgrounds. The conference aims at gathering specialists from different sectors to foster communication between various (sub)fields of research. We aim at covering the synthetic side of the story, the non-commutative one, the regularity of Ricci-limit spaces and geometric evolution problems.

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

Institut Henri Poincaré (IHP)

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

The Research Institute for Mathematical Sciences (RIMS)

Théorie des graphes et combinatoire,    Théorie des groupes

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to recent developments in the study of Lagrangian Floer theory of symmetric products of Riemann surfaces and Hilbert schemes of symplectic 4-manifolds, and their applications both to symplectic topology and the low dimensional topology.

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

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

Théorie des graphes et combinatoire,    Théorie des groupes

The Fields Institute

The purpose of this conference is to create a discussion between experts that work on a number of such approaches to singular spaces as well as on the broader themes that lead to these structures: Hamiltonian group actions, completely integrable systems, and geometric quantization.

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

Watanabe's work on embedding calculus has shown us how diffeomorphisms of the 4-sphere may be studied, and Zemke's work has used the functoriality of Floer homology to derive powerful new obstructions to ribbon concordance. A common theme in these works is the emphasis on functoriality of the invariants, rather than simply computation, and a renewed interest in understanding diffeomorphism groups of a manifold rather than single isotopy groups. In this workshop, we propose to bring together experts on these interrelated topics with the aim of improving community understanding of recent developments in low-dimensional topology and promote new advances in the study of global properties of 4-manifolds.

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

The goal of this workshop is to create an opportunity for researchers in low-dimensional topology to encounter new research in the area, to establish new collaborations and reestablish existing ones, and to compensate for the relative isolation inflicted by the Covid-19 pandemic. One particular goal is to help researchers at earlier stages of their career to form connections, as these people were heavily affected by travel restrictions in 2020-21 and an inability to build networks. Together, ju- nior and senior researchers will exchange techniques, attack outstanding conjectures, and develop new directions of study.

Mathematical Sciences Research Institute (MSRI)

The Connections Workshop features presentations by both leading researchers and promising newcomers whose research has contact with the interrelated topics of algebraic cycles, L-values, and Euler systems. The goal is to present a variety of diverse results, so as to forge new connections, foster collaborative projects, and establish mentoring relationships. While emphasis will be placed on the work of women mathematicians, the workshop is open to all researchers.

The Research Institute for Mathematical Sciences (RIMS)

Théorie des groupes,    Physique mathématique

UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)

The last several years have seen rapid development of a new language for conformal field theory(CFT), including insights from the conformal bootstrap program. This conference will bring to bear the modern arsenal of conformal field theory on the foundations of holography and quantum gravity. A theme of the conference will be the extent to which consistency conditions on quantum gravity are inherited from those of CFT, and whether they naturally lead to string/M-theory. By bringing together scientists on both sides of holographic duality, we hope to explore these issues in a broad way.Topics to be covered include large N bootstrap and the structure of holographic CFTs dual to general relativity; CFT sum rules and gravitational effective field theory; aspects of supersymmetry in holography; low-dimensional holography, modularity and quantum chaos; black holes from strongly-coupled finite temperature physics; symmetry constraints on gravitational path integrals and AdS vacua; S-matrices, their relation to CFT correlators, and holography away from AdS.

Astronomie, astrophysique et cosmologie,    Physique mathématique

The Research Institute for Mathematical Sciences (RIMS)

Mathematical Sciences Research Institute (MSRI)

The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to the study of cluster algebras and their relation to symplectic geometry, bringing together people with expertise in these two fields. In recent years deep and intriguing connections between these two areas have been discovered, including the existence of cluster structures on moduli spaces of Lagrangian fillings, the cluster compatibility of Poisson structures on wild character varieties, the cluster algebras associated to plane curve singularities, and the cluster nature of spectral networks. This bridge between cluster algebras and symplectic geometry is proving fruitful in both directions and a central aim of the workshop is to crystalize those connections and bring forward further applications.

Mathematical Sciences Research Institute (MRSI)

The Introductory Workshop aims to provide a coherent overview of current research in algebraic cycles, L-values, Euler systems, and the many connections between them. This includes the study of special cycles on Shimura varieties and moduli spaces of shtukas, integral representations of L-values and the construction of p-adic L-functions, and the construction of Euler systems from special elements in Chow groups or higher Chow groups of Shimura varieties. Workshop lectures will be organized into short lecture series, so as to allow each series to begin with expository lectures on foundational results before moving on to current research.

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

Mathematical Sciences Research Institute (MSRI)

This workshop will highlight talks on various aspects of Diophantine Geometry. The goal of the workshop is to bring together researchers at different career stages and of various backgrounds in order to establish new collaborations and mentoring relationships.

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

This is a workshop in commutative algebra, broadly interpreted, with a focus on three areas, all concerned with resolutions in various forms. One is the resolution of singularities of algebraic varieties, which remains a vibrant topic of research. The second is the theory of noncommutative resolution of singularities. Introduced two decades ago, this subject has witnessed remarkable growth developing connections to algebraic geometry, commutative algebra, cluster algebras, and the representation theory of algebras, both commutative and noncommutative, among others. The third intended meaning of the word “resolution” is as in free resolutions of algebras and modules in commutative algebra.

Mathematical Sciences Research Institute (MSRI)

This workshop will feature expository lectures about current developments in Diophantine geometry. This includes the uniform Mordell—Lang for rational points on curves, the Andre—Oort conjecture for special points on Shimura varieties, and effective results via Chabauty method, and related topics in Arakelov theory, unlikely intersections, arithmetic statistics, arithmetic dynamics, and p-adic Hodge theory.

Géométrie et topologie,    Théorie des nombres, arithmétique

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

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

The Research Institute for Mathematical Sciences (RIMS)

CRM / Université de Montréal

Measured group theory looks at groups from a probabilistic perspective, by studying their actions on probability spaces up to orbit equivalence. It turns out that the orbit equivalence relations of these actions can remember information about the group, which has yielded classification and rigidity results, as well as new invariants such as cost, |^2-Betti numbers, and ergodic dimension. Initiated by Gromov and Zimmer, the subject has become a very fruitful area of research over the last 25 years. One reason for this is that to study the orbit equivalence relation of an action, one tries to measurably equip the orbits with various combinatorial and geometric structures (graphs, trees, CW-complexes) and investigate their characteristics (colorings, matchings, ends, |^2-Betti numbers), which often requires machinery from the corresponding subjects, and also contributes back to these subjects with new results. This two-way traffic has established new connections between Measured Group Theory and various different areas, including ergodic theory, descriptive set theory, probability theory, combinatorics, geometric group theory, Lie groups, and von Neumann algebras.

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

This workshop focuses on interactions between real algebraic geometry, operator theory, and optimization, with a particular emphasis on the interrelations with the Koopman operator approach to optimization and control. It is an outgrowth of three previous successful MFO workshops held in 2014, 2017, and 2020, themselves a continuation of a long series of MFO workshops on real algebraic geometry which started in 1984. The mathematical topics of interest include sum-of-squares representations of non-negative polynomials in commutative and non-commutative algebras and the dual problem of moments, including various applications, and the use of linear infinite dimensional methods in nonlinear dynamical systems.

Mathematical Sciences Research Institute (MSRI)

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

Mathematical Sciences Research Institute (MRSI)

The topical workshop will be dedicated to Shouwu Zhang, to mark the occasion of his 60th birthday, and to honour his numerous beautiful contributions to the theory of Shimura varieties and special values of L-functions. It will highlight cutting edge work on topics such as the construction of Euler systems; relations between special cycles on Shimura varieties and L-functions, such as generalized Gross-Zagier formulas and the Tate conjecture; the construction of Galois representations in cohomology; and related aspects of the theory of automorphic forms.

Algebraic Cycles, L-Values, and Euler Systems

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.

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.

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

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.

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.

Géométrie et topologie,    Théorie des graphes et combinatoire

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.

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

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

Affine algebraic geometry studies algebraic subvarieties of complex affine space C^n. A major contributor to this field in the following generation is Shulim Kaliman, whose work this conference is intended to honor on the occasion of his 70th birthday. The conference will feature 10-12 prominent plenary speakers from among Kaliman's research colleagues, such as Mikhail Zaidenberg, with additional talks that include younger researchers. Kaliman's work draws from an impressive range of tools, not only in algebra and geometry but also in topology and analysis. The title of the conference reflects this: the embeddings, automorphisms, structure and topology of affine varieties are themes running throughout Kaliman's work. The talks will focus on current trends within these themes, and will not only bring together active researchers in the field but will also seek to engage students and early career researchers in the study of affine algebraic geometry.

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

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

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.

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

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

The Fields Institute

Scheduled as part of Thematic Program on Operator Algebras and Applications

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

Géométrie et topologie,    Théorie des graphes et combinatoire