Conférences  >  Mathématiques  >  Algèbre

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

Institute for Computational and Experimental Research in Mathematics, Brown University, Providence, RI (ICERM)

Webs are diagrammatic tools for representing complex calculations graphically. These diagrams first arose from the representation theory of classical groups, and they have since become important in disparate areas of mathematics. In representation theory, they encode morphisms of quantum groups. In topology, webs give rise to powerful link invariants. In algebra and geometry, Kuperberg's \(mathrm{sl}(3)\) web bases have important relationships with the theory of cluster algebras and affine buildings. In combinatorics, they explain certain dynamics on Young tableaux. Recent work by Gaetz--Pechenik--Pfannerer--Striker--Swanson introduced an \(\mathrm{sl}(4)\) web basis that has exploited and extended exciting connections between webs, plabic graphs, and crystals. There are further connections to total positivity, duality conjectures for cluster algebras and mirror symmetry.

Théorie des graphes et combinatoire,    Théorie des groupes

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

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

Mathematicians have been studying notions of space and geometry for thousands of years. Over time our models for spaces have grown successively more abstract. A major conceptual leap in the 1960's was taken with the theory of algebraic stacks, which are a sort of space with "internal symmetries'' not visible in usual geometric objects. There has been a flurry of recent activity among mathematical researchers in understanding the structure of these spaces. This workshop will bring together researchers developing this state-of-the-art theory with mathematicians at various career stages who are interested in applying this theory in their work. The organizers hope that this week of focused discussion on this topic will help bring these methods to a wider audience and lead to significant new developments both in the foundations of the theory and in applications.

Shri Mata Vaishno Devi University, School of Mathematics

RACMAS 2026 is intended to serve as a vibrant platform for academicians, researchers, and professionals from India and abroad to engage in meaningful exchange of ideas and developments in the fields of computational mathematics and its applications.

Email.: racmas2026@smvdu.ac.in, sunny.sharma@smvdu.ac.in

Algebra and Discrete Mathematics, Combinatorics and Graph Theory, Mathematical Analysis and Topology, 4. Computational Mathematics and Algorithms, Statistics and Operational Research, Fuzzy Theory and Applications, Fluid Mechanics and Its Applications, Machine Learning and Artificial Intelligence, Computational Mathematics in Medical and Biosciences, Differential Geometry, Interdisciplinary Applications

Théorie des graphes et combinatoire,    Mathématiques générales et evénement multidisciplinaires

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

A tensor category is a category with a tensor product that satisfies properties similar to the tensor product of vector spaces. A typical example is given by the representation category of a group with the usual tensor product. While the most important examples of tensor categories arise from representation theory, the theory has outgrown its origins and has emerged into a vast and complex theory on its own, providing a unified language for many phenomena in different fields. Tensor categories are now ubiquitous in areas such as representation theory, invariants of links and 3-manifolds, algebraic geometry, higher category theory, quantum computing and mathematical physics. All in all the abstract theory of tensor categories along with its applications has seen a rapid growth over the last 10 - 20 years.

American Institute of Mathematics, Pasadena, California

This workshop, sponsored by AIM and the NSF, will be devoted to new developments in integral p-adic cohomology theories, focusing in particular on their applications to the study of integral models of Shimura varieties. The past decade has seen several innovations in p-adic cohomology, with the introduction, first of perfectoid geometry, and more recently, of prismatic cohomology and its refinements. The power of these general theories has been brought to bear on the problem of understanding the arithmetic behavior of Shimura varieties, both local and global, with applications to key number-theoretic frameworks like the Langlands and Kudla programs. The workshop’s goal is to push these applications further, and to explore new ones, with the eventual goal of obtaining a systematic and naturally functorial theory of integral models of Shimura varieties.

Universität Duisburg-Essen, Fakultät für Mathematik

This workshop aims at bringing together researchers working on various aspects (geometric, derived, etc.) of p-adic and mod p representation theory of p-adic groups. We particularly wish to offer young researchers the opportunity to present their work and build connections in an informal, friendly environment: each day will feature a couple of one hour talks by more senior speakers on the most recent advances in the area, followed by a series of 30 min talks by the junior participants.

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

Cluster algebras, webs and canonical bases are three different methods that mathematicians have developed in order the understand the symmetries of certain mathematical structures. Each of these three ways arose from, and has applications to, different areas of mathematics. These areas include algebraic geometry, representation theory, topology, and combinatorics, as well as physics. The goal of this workshop is to bring together experts and up-and-coming researchers from each of these areas in order to better understand the still mysterious connections between cluster algebras, webs, and canonical bases. A better understanding of these connections could allow for ideas from one area to be applied to solve problems in other areas.

ICAOTA is officially supported by the African Mathematical Union (AMU), the continental organization promoting mathematical research and cooperation in Africa.

The First International Conference on Advances in Operator Theory and Applications (ICAOTA’2026) is a prestigious scientific event that will convene leading experts, early-career researchers, and professionals from across the globe to discuss recent advances in operator theory and its far-reaching applications in mathematics, physics, and engineering.

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

Core objects of study in algebraic geometry and in commutative algebra are called varieties and rings, respectively. Varieties are geometric objects that consist of sets of solutions to polynomial equations. Each variety has a corresponding ring consisting of the polynomial functions that are defined on the variety.

Théorie des graphes et combinatoire,    Géométrie et topologie

The International Centre for Mathematical Sciences (ICMS)

Frieze patterns are celebrated for their ubiquity in mathematics, featuring in cluster algebras, continued fraction theory, difference equations, hyperbolic geometry, and moduli space theory. This workshop brings together researchers from frieze patterns and the cognate fields of continued fractions and discrete geometry to promote cross-disciplinary interactions in these fertile subjects. The event is framed around the legacy of the English geologist John Farey (1766–1826), who inspired the development of Farey sequences and the Farey tessellation, which are common themes of the workshop. There will be a mathematical art gallery accompanying the workshop to share the outputs of our research.

CIRM

Iwasawa theory studies the p-adic variation of arithmetic objects. It was born in a series of papers of K. Iwasawa during the mid 20th century, where he studied the growth of class groups along the cyclotomic tower, and their connection to the p-adic zeta function of Kubota and Leopoldt. This result is known as Iwasawa’s Main Conjecture and it has been generalized to many other settings (elliptic curves, modular forms, etc.). This conference will bring together specialists of this domain to account for the latest advances in Iwasawa Theory. An emphasis will be put to the applications of perfectoid methods to the theory, such as in the construction of p-adic L-functions, or through the use of the Fargues–Fontaine curve and p-adic Hodge theory.

Simons Foundation

A conference marking the 50th anniversary of the publication of Barry Mazur's "Modular curves and the Eisenstein ideal" and Ken Ribet's "A modular construction of unramified p-extensions of Q(μ_p)". The talks will feature recent advances in areas of research that have been influenced by these two papers.

ICANTA’5 is organized by the ACSA Laboratory (Faculty of Sciences, Mohammed Premier University) in collaboration with the Ceramaths Laboratory (Université Polytechnique Hauts-de-France). This edition pays a heartfelt tribute to Professors A. Azizi, M. C. Ismaili, and M. Ziane for their inspiring research, dedication to students, and lasting service to our community. The congress brings together researchers worldwide and encourages young mathematicians to engage with current topics in algebra, number theory, and applications.

The Fields Institute

This conference will honour the work of John F. (Rick) Jardine, a professor at the University of Western Ontario. Over his 40+ year career, Rick has made foundational contributions to homotopy theory, K-theory, and topological data analysis, in particular shaping the current landscape of homotopical algebra.

CIRM

L’objectif de cette école de recherche est d’étudier certains des sujets nécessaires à la compréhension des variations p-adiques des cycles arithmétiques et de leur relation avec les formes automorphes p-adiques. Elle est principalement destinée aux doctorants et post-doctorants afin qu’ils puissent tirer le meilleur parti de la conférence qui suit.

The International Centre for Mathematical Sciences (ICMS)

This workshop centers on the representation theory of finite groups and closely related structures. Some areas of the field are well-established and classical, while others include subjects born only recently. All are being rapidly evolving and actively explored by diverse research communities. These communities, often located in different regions around the world, offer distinct perspectives and approaches to the subject. A central aim of the workshop is to bring together experts and early-career researchers from these various groups, providing a forum to share progress, exchange ideas, and ask each other questions. The workshop also offers an opportunity to celebrate Dave Benson’s 70th birthday, which falls in December 2025. Dave’s work has had a profound influence on many of the themes represented at this meeting, and we look forward to honoring his contributions during the event.

Cohomology and modular representation theory of finite groups; Hochschild cohomology; Algebraic topology; Tensor-triangular geometry; Finite tensor categories

Théorie des groupes,    Cours et évènements pour étudiants en mathématiques

Institute for Computational and Experimental Research in Mathematics

A conjecture of Malle predicts an asymptotic formula for the quantity of number fields with a given Galois group and whose discriminant is bounded by a growing parameter. This conjecture is foundational to the area of Arithmetic Statistics and has received considerable interest over the past 20 years, notably including Bhargava receiving the Fields Medal in part for his work on quartic and quintic field extensions.

Tél.: [4018635030];     Email.: info@icerm.brown.edu

CIRM

The International Centre for Mathematical Sciences (ICMS)

The UK has always been at the forefront of, and has a reputation in, integrable systems research. It is an area that glues together topics in mathematical physics, analysis, algebra, geometry, applied mathematics and probability. Research in non-commutative integrable hierarchies has had a recent resurgence – they have many applications, including (eg.) in non-commutative nonlinear optics, and have strong links to string theory. The main themes outlined align with, and will be led, by recent research by the invitees. We propose a different than usual workshop format, along the lines of those held at Oberwolfach and the American Institute of Mathematics. Nominated experts give feeder presentations in their areas on successive mornings, outlining the current frontier of research and open problems. In the afternoons, these are followed up by discussion sessions and working groups who report back to the workshop as a whole at the end of the day. The workshop structure develops dynamically throughout the week. The organisers and the Scientific Advisory Group meet daily to set the agenda ahead, using feedback from the end-of-day reports and participants.

(i) Regularity and solutions; (ii) Non-commutativity, both in terms of non-Abelian (eg.\/ matrix) versions of classical integrable systems and in terms of non-commutative independent variables; and (iii) The connections of such systems to random matrix theory.

The International Centre for Mathematical Sciences (ICMS)

Recent research has pointed to fundamental underlying relationships between each of three sub-fields of combinatorics: matroid theory, structural graph theory, and topological graph theory. While the connection between matroids and graphs is long-established, newer foundational links with topological graph theory are creating fresh opportunities for cross-disciplinary advances. The purpose of this workshop is to provide the first dedicated forum to bring together experts in all these three fields to share techniques and approaches, and seed ongoing cross-disciplinary collaboration and advances.

Théorie des graphes et combinatoire,    Géométrie et topologie

Galatasaray University, Istanbul

The conference aims to bring together researchers from all areas of mathematics and science with interests in recurrence sequences, their applications and generalizations, and other special number sequences.

Fibonacci numbers, recurrence sequences, special number sequences, and applications

Universitat de Barcelona

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

Geometry, Combinatorics, Commutative Algebra.

Théorie des graphes et combinatoire,    Géométrie et topologie

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

Free noncommutative (nc) function theory is an analogue of classical function theory where one replaces functions between two complex vector spaces by functions between square matrices of all sizes over these vector spaces that respect matrix size, direct sums, and similarities. It has emerged in the last decade and a half as a vibrant research area with results that are sometimes similar to and sometimes strikingly different from the classical commutative setting, and with interconnections and applications ranging from free rings and free skew fields to free probability and random matrix theory to dimension independent linear matrix inequalities in systems and control. The purpose of this research in teams is to develop new relations between free probability and nc function theory by launching a systematic investigation and usage of asymptotic integration over classical compact matrix groups and their homogeneous spaces. We expect this to open the road for an asymptotic study of Hardy and Bergmann spaces of nc functions and exhibit completely new phenomena regarding Shilov boundaries and uniqueness sets in the nc setting.

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

This workshop aims at bringing together an interdisciplinary scientific community to share some of the state-of-the-art results in the theory of Herglotz-Nevanlinna functions, and to solve common open problems lying at the frontier of pure mathematics, applied mathematics, physics, and engineering. Further development of this theory would lead to significant progress not only in the area of pure mathematics, but also in its applications to antennas, metamaterials, and composite materials.

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

Higher-rank graphs generalize path categories of directed graphs and are intricately connected to various mathematical disciplines. This workshop aims to illuminate the rich interplay between higher-rank graph C*-algebras and fields such as algebra, theoretical physics, and geometry. By examining how these algebras both influence and are influenced by these diverse areas, the event will provide insights into their broader implications and applications. The workshop will bring together experts from different fields and career stages, each offering a unique perspective on higher-rank graphs. and interactions.

Cours et évènements pour étudiants en mathématiques,    Théorie des graphes et combinatoire