Conférences - Algèbre

This program is devoted to the investigation of universal analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics. Prominent examples for recent developments are the Schramm-Loewner evolution, the continuum random tree, Bernoulli percolation on the integers, random surfaces produced by Liouville Quantum Gravity, and Jordan curves and dendrites obtained from random conformal weldings and laminations. The lack of regularity of these random structures often results in a failure of classical methods of analysis. One goal of this program is to enrich the analytic toolbox to better handle these rough structures.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

CIRM – Centre International de Rencontres Mathématiques

THEMATIC MONTH

International Joint Usage / Research Center – RIMS

This workshop brings together leading experts in quantum numerical linear algebra, to discuss the recent development of quantum algorithms to perform linear algebra tasks for solving challenging problems in science and engineering and for various industrial and technological applications.

International Joint Usage / Research Center – RIMS

This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include "visionary" lectures by prominent researchers who will outline fruitful directions for future research.

Cours et évènements pour étudiants en mathématiques,    Géométrie et topologie

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

Mathematical Sciences Research Institute (MRSI)

This workshop is built around four minicourses that will introduce the participants to a range of recent techniques in various areas of holomorphic dynamics, given by specialists in these topics. The event is complemented by a series of talks by leaders in the field, aimed at a large audience and presenting current research directions in the area.

Réseaux complexes,    Systèmes complexes et chaos

International Joint Usage / Research Center – RIMS

International Joint Usage / Research Center – RIMS

International Joint Usage / Research Center – RIMS

International Joint Usage / Research Center – RIMS

International Joint Usage / Research Center – RIMS

Georgia College & State University, Department of Mathematics

The Southern Regional Algebra Conference is an annual weekend conference that has been in existence since 1988. It serves an important role as part of the algebra research community in the Gulf Coast Region. Graduate students are strongly encouraged to participate. There is no registration fee. Presentations will be 25 minutes in length. The deadline to submit abstracts for SRAC 2022 is March 1, 2022. The Conference will be held on the campus of Georgia College & State University in Milledgeville, GA, March 18-20, 2022. The program will start on Friday, March 18, 2022 at 1 PM and end on Sunday, March 20, 2022 at 12:30 PM.

Tél.: [4784450974];     Email.: guy.biyogmam@gcsu.edu

The Fields Institute

Géométrie et topologie,    Physique mathématique

CIRM – Centre International de Rencontres Mathématiques

MULTIYEAR PROGRAM - RESEARCH SCHOOL

ICERM

Incarnations of braid groups, or generalizations thereof, naturally arise in a range of active research areas in symplectic and algebraic geometry. This is a rich and diverse ecosystem, and the workshop will aim to bring together speakers from all corners of it. A unifying theme is monodromy: one the one hand, generalized braid groups arise in symplectic and algebraic geometry as fundamental groups of moduli spaces, loosely construed -- for instance, of complements of discriminant loci of singularities or of hyperplane arrangements, or moduli spaces of deformations of complex or symplectic structures. On the other hand, monodromy ideas motivate representations of generalized braid groups as various flavors of geometric automorphisms -- for instance, as (framed) mapping class group elements, symplectic Dehn twists, spherical twists in derived categories, or flop functors for 3-folds. These perspectives lead in turn to a wide array of further geometric applications, from classifications of Stein fillings to the study of spaces of Bridgeland stability conditions.

From a community perspective, one aim of the workshop is to bring together mathematicians from adjacent research communities with a shared interest in braids as they arise in symplectic or algebraic geometry. We hope the conference will accelerate the cross-pollination of ideas, and help foster collaborations, at what is a very exciting time for the field. Much of this research also lies at an interface with other aspects of the thematic semester -- for instance, braids in representation theory (e.g. in connection with cluster algebras or Bridgeland stability conditions), or in low-dimensional topology (e.g. in connection with monodromies of open books) -- and many of the talks should be of interest to a broader set of semester participants.

Tél.: [401 863 5030];     Email.: info@icerm.brown.edu

Mathematical Sciences Research Institute (MRSI)

This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics.

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.

International Joint Usage / Research Center – RIMS

The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.

Mathematical Sciences Research Institute (MRSI)

The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.

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

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

Cours et évènements pour étudiants en mathématiques,    Calcul scientifique

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

Cours et évènements pour étudiants en mathématiques,    Analyse

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

The Fields Institute

The primary goal of the conference is to celebrate R.V. Moody's lifetime desire to understand symmetry, a journey that has led him to produce breakthrough research in infinite dimensional Lie theory, Aperiodic Order and Pattern Theory. The biggest impact this conference will have will be as a result of bringing the areas of Algebra, Geometry and Aperiodic Order together, introducing each other to the open problems in the other's field, and exploring unexpected links to different areas of mathematics.

The aim of the meeting is to bring together leading experts and early career researchers to make progress on understanding rational points on surfaces and higher dimensional varieties. Traditionally there have been two separate communities working in the area, using tools from analytic number theory and algebraic geometry, respectively. Spectacular progress has been made in recent times by managing to bridge these communities, with a particular highlight being applications of Green-Tao-Ziegler's work on primes in arithmetic progressions to the fibration method. The emphasis in the meeting will be on building upon this bridge and further inspiring collaboration between the analytic and geometric communities.

Schinzel's Hypothesis with probability, Campana points, Purity of strong approximation, Rational points in families, Brauer--Manin obstruction

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

Cours et évènements pour étudiants en mathématiques,    Analyse

This workshop will focus on complex dynamics in one and several variables. We will bring toghether experts in rational dynamics, transcendental dynamics, and dynamics in several complex variables in order to get new perspective and foster discussions in a warm and stimulating atmosphere. A special focus will be put on the interactions between one dimensional and higher dimensional complex dynamics, and on connections with adjacent areas of mathematics.

Casa Matemática Oaxaca (CMO)

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

The Fields Institute

Analyse,    Calcul infinitésimal, équations différentielles et intégrales

The Fields Institute

This is the 17th in the sequence of annual workshops traditionally held in the month of May at Nipissing University. Among our participants, we expect to have a number of prominent mathematicians from Canada, USA and abroad. The purpose of these workshops/seminars has been mainly to provide opportunities to researchers to learn a new area as well as opportunity to collaborate. As a result of these workshops there have been numerous collaborations dealing with problems in dimension theory, geometric topology, C*-algebras, set-theoretic topology, continuum theory and complex dynamics.

Stockholm University - GAMM activity group

CIRM - Luminy - Centre International de Rencontres Mathématiques

The aim of this conference is to gather several communities: pure mathematicians, applied mathematicians, physicists and engineers around Herglotz-Nevanlinna functions and their connections with physics and engineering. Its main focus is communicating the needs of people on the applied side and the tools of those on the more theoretical side and thus laying the foundations for future interactions.

University of Waterloo

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

Cornell University

We are excited to announce that the 7th Cornell Conference on Analysis, Probability, and Mathematical Physics on Fractals will be held June 4, 2022 - June 8, 2022. After two consecutive cancellations due to Covid, we are currently planning the 2022 Fractals Conference. As normalcy returns to our lives, we look forward to hosting an in-person conference once again, collaborating with colleagues around the world, and sharing each others knowledge.

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

Cours et évènements pour étudiants en mathématiques,    Théorie des groupes

The Fields Institute for Research in Mathematical Sciences

Géométrie et topologie,    Analyse

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

Ergodic Schrödinger operators have been studied heavily since the 1970s, as they include many examples of physical interest, such as disordered media, electrons in an external magnetic field, and quasicrystals. These operators enjoy many subtle connections to other areas of mathematics, such as dynamical systems, topology, and group theory. The study of quantum graphs stems from the modeling of thin waveguides arranged into a topological network. Such models appeared already in the 1930s but have experienced a surge in popularity in recent years. Recent works have exploited connections between these two fields; these developments have scratched the surface of a much larger opportunity for collaboration. Thus, the aim of this workshop is to bring these two communities together for two purposes: to disseminate recent results, and to foster collaboration and communication between these communities.

Institut de Recherche Mathématique Avancée de Strasbourg

The aim of the summer school is to provide an introduction to recent advances in the understanding of the number-theoretic content of the cohomology of arithmetic groups and of algebraic K-groups of number rings. Uncovering this information reveals deep connections with algebraic geometry, namely with the theory of motives and with motivic homotopy theory. Surprisingly, this happens even when the arithmetic groups under consideration are not directly linked with algebraic varieties.

Mixed Tate motives, Dedekind zeta values, and polylogarithms, Weighted cohomology of Shimura varieties, Hermitian K-theory of number rings and special values of L-functions, Motivic cohomology and cohomology of arithmetic groups

Cours et évènements pour étudiants en mathématiques,    Théorie des nombres, arithmétique

Mathematical Center in Akademgorodok

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 conference is dedicated to the broad variety of topics in representation theory and its applications.

Representation theory, Lie algebras, Lie groups, quantum groups, geometric quantization, integrable systems, cohomology of groups, cohomology of algebras, algebraic invariant theory, vertex algebras, low-dimensional topology.

Théorie des groupes,    Physique mathématique

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

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

CIRM – Centre International de Rencontres Mathématiques

CONFERENCE

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

Leonhard Euler International Mathematical Institute in St. Petersburg

The conference is devoted to the spectral theory and its applications in modern mathematical physics. There will be talks on the general operator theory, differential, integral and difference operators, scattering theory, inverse problems, periodic and ergodic operators, asymptotic methods and applications, e.g., on the modern quantum physics and nonlinear physics. We also plan to organize talks devoted to interesting general analytic problems.

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.

The Fields Institute

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

The Fields Institute

The field of homotopy theory originated in the study of topological spaces up to deformation, but has since been applied effectively in several other disciplines. Indeed, homotopical ideas lead to the resolution of several long-standing open conjectures, for instance on smooth structures on spheres, the moduli of curves, and the cohomology of fields. More recently, Bhatt, Morrow, and Scholze used homotopical methods to compare different cohomology theories for algebraic varieties, thereby resolving open questions in arithmetic geometry. In a similarly arithmetic vein, Galatius and Venkatesh initiated the study of Galois representations with homotopical means, whereas Clausen and Scholze revisited the foundations of analytic topology. These and other recent developments in the interface of arithmetic and topology opened up new lines of attack towards classical open questions, which sparked a wide range of current research activities. This conference intends to survey some of the most spectacular recent advances in the fields, thereby paving the way to new developments and future interactions. Our goal is to foster scientific exchange and collaboration between established researchers, emerging leaders, early career mathematicians, and graduate students.

CCAAGS-22 aims to bring together researchers working in the creative mixture of combinatorial and computational ideas in applied algebraic geometry. Part of this event will celebrate Bernd Sturmfels and his contributions to the field.

Théorie des graphes et combinatoire,    Géométrie et topologie

Institute of Mathematics & its Applications (IMA)

The success of modern codes for large-scale optimization is heavily dependent on the use of effective tools of numerical linear algebra. On the other hand, many problems in numerical linear algebra lead to linear, nonlinear or semidefinite optimization problems. The purpose of the conference is to bring together researchers from both communities and to find and communicate points and topics of common interest. This Conference has been organised in cooperation with the Society for Industrial and Applied Mathematics (SIAM).

Direct and iterative methods for large sparse linear systems. • Eigenvalue computation and optimization. • Large-scale nonlinear and semidefinite programming. • Effect of round-off errors, stopping criteria, embedded iterative procedures. • Optimization issues for matrix polynomials • Fast matrix computations. • Compressed/sparse sensing • PDE-constrained optimization • Distributed computing and optimization • Applications and real time optimization

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/

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

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

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.

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)

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.

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)

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.

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 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

Géométrie et topologie,    Cours et évènements pour étudiants en mathématiques

Institut Henri Poincaré (IHP)

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 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)

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

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.

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.

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

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.

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.