Conferences  >  Mathematics  >  Geometry and Topology

Stefan Banach Mathematical Center

As in the previous edition of the conference, the planned mathematical meeting Inspirations in Real Analysis II is addressed especially to people mostly interested in real analysis approach to dynamical systems, topology, set theory, and also other topics which are close to the ones just mentioned. These are areas of mathematics with close interplays but, on the other hand, conferences usually separate them from each other. We believe that this conference will continue to develop research trends not only in real analysis, but also in set theory, topology and dynamical systems.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will focus on the development of higher-dimensional contact topology, with a focus on convex hypersurface theory and contact submanifolds. We will bring a diverse group of experts, spanning a variety of career stages, and represent the different research interests from the international community of researchers in contact topology.

Centre de recherches mathématiques (CRM)

CIRM – Centre International de Rencontres Mathématiques

Group Theory,    Algebra

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

CIRM – Centre International de Rencontres Mathématiques

The aim of the present conference is to gather mathematicians working in Algebra, Geometry, Topology, and Mathematical Physics. Created over the past 50 years, the theory of higher structures (operads, homotopy algebras, infinity-categories) has given rise recently to powerful tools which led to resolutions of open problems and prompted deep developments, for instance in algebraic topology (faithful algebraic invariants of the homotopy type of spaces), algebraic geometry (derived algebraic geometry), and deformation theory (formal moduli problems). More recent, fundamental achievements have been obtained by applying these effective and algorithmic higher algebraic methods in Lie theory (higher Lie theory), derived deformation theory (deformation theory in positive characteristic, universal deformation groups, Grothendieck–Teichmüller groups), homotopy theories (rational homotopy theories), and geometry (algebraic, complex and discrete).

Centre de recherches mathématiques (CRM)

This conference will focus on the deep and beautiful interactions between Analysis and Homotopy Theory, that is, the emergence and useful application of homotopy-theoretic methods in Analysis as well as the analytical approaches to problems in Algebraic Topology. We aim to celebrate specifically the fantastic development of K-theory and Index Theory. This started primarily as a field in Analysis more than 50 years ago and has obtained spectacular applications over the years by gradually involving more of the ideas and methods of Algebraic Topology, Operator Algebras, and Homotopy Theory. This combination of ideas, methods, and applications has shown a deep impact on further fields.

Isaac Newton Institute for Mathematical Sciences (INI)

The goal of this conference is to bring together researchers in complex algebraic and differential geometry, working on notions of stability for algebraic varieties such as K-stability (and in particular the construction of moduli spaces of algebraic varieties), the existence of canonical metrics in Kähler geometry and the many nearby topics that interact with these areas. The relationship between K-stability and the existence of canonical Kähler metrics goes by the name of the Yau-Tian-Donaldson conjecture, and is motivated by a more classical correspondence between stability in the sense of geometric invariant theory and properties of moment maps as used in symplectic geometry—two of the overarching themes of the wider programme. This conference will emphasise the deep links between Kähler geometry, stability conditions and various related problems in equivariant algebraic and differential geometry.

ICERM

In the 1980s, Ceresa exhibited one of the first naturally occurring examples of an algebraic cycle, the Ceresa cycle, which is in general homologically trivial but algebraically nontrivial. In the last few years, there has been a renewed interest in the Ceresa cycle, and other cycle classes associated to curves over arithmetically interesting fields, and their interactions with analytic, combinatorial, and arithmetic properties of those curves. We hope to capitalize on this momentum to bring together different communities of arithmetic geometers to fully explore explicit computations around the arithmetic and geometry of cycles when these various approaches are systematically combined.

University of Georgia

The theme of this conference is “flows and foliations in 3-manifolds."

3-manifold, foliation, flow

Centre de recherches mathématiques (CRM)

University of Georgia

The Geometrical Seminar started its activities more than 30 years ago under the name Yugoslav Geometrical Seminar. The aim of these meetings is to bring together mathematicians and physicists interested in geometry and its applications, to give lectures on new results, exchange ideas, problems and conjectures. The last conference, XXI Geometrical Seminar 2022, was held at Belgrade 2022, had around 130 participants from all over the world.

Differential Geometry, Topology, Lie Groups, Mathematical Physics, Discrete Geometry, Integrable Systems, Visualization, Teaching Geometry, Geometric Education

CIRM – Centre International de Rencontres Mathématiques

Applied Mathematics (in general),    Pattern Recognition and Image Processing, Machine Vision

University of Georgia, Athens, GA, USA

The aim of this conference is to bring together a diverse array of leading mathematicians in algebra and representation theory to promote future collaborations and inspire a new generation of mathematicians to work on exciting problems in these fields.

Cohomology and Modular Representation Theory, Representations of Lie (Super)algebras, Geometric Representation Theory, Noncommutative Algebraic Geometry.

Centre de recherches mathématiques, Université de Montréal

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

This event will have three parts. From June 5th to June 7th it will feature three introductory mini-courses on the topics of configuration spaces, algebraic K-theory, and string topology accessible to graduate students and researchers in related fields outside algebraic topology. On June 8th, there will be a special event directed towards the general public and it will include two talks and a discussion session. The main research conference will take place from June 10th to June 14th and will feature talks by invited speakers as well as contributed talks. Everything will take place in (possibly different venues) in San Juan, Puerto Rico (TBD).

Goethe-Universität Frankfurt

Phone: [069 798 22568];     Email: scheuer@math.uni-frankfurt.de

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

The EPIGA 2024 conference will feature a series of lectures covering a large spectrum of algebraic geometry. Half a day will be devoted to talks and debates on the topic of scientific publishing. It will also be the occasion to award the first Demailly prize for open science.

Georgia Institute of Technology Atlanta, GA

The 40th International Symposium on Computational Geometry (SoCG 2024) is planned to be held in Athens, Greece, June 11–14 2024, as part of the Computational Geometry (CG) Week. We invite high quality submissions that describe original research on computational problems in a geometric and/or topological setting.

Casa Matemática Oaxaca (CMO)

In recent years, researchers have discovered an unexpected mathematical connection between two different areas of physics. One community of researchers, working to make more precise predictions for particle physics experiments like the Large Hadron Collider, has discovered that their calculations involve increasingly complicated mathematical structures, described by the mathematical discipline of algebraic geometry. Some of these calculations, involving a mathematical object called an elliptic curve, have been the focus of much recent progress. However, more complicated calculations involve yet more complicated geometries. Some of these involve more than one elliptic curve, while others involve a type of geometry studied in a very different area of physics: Calabi-Yau manifolds, previously studied as a potential shape for the extra dimensions of string theory. This workshop will bring together experts in this intersection of topics: particle physicists who aim to tackle calculations with multiple elliptic curves and Calabi-Yau manifolds, string theorists, and mathematicians who study topics that tie the two areas together such as algebraic geometry and combinatorics. The workshop will foster dialogue between these groups, a fresh exchange of ideas that should yield new insights and new progress.

High Energy Physics, Particles and Fields,    Graph Theory and Combinatorics

Centre de recherches mathématiques (CRM)

Isaac Newton Institute for Mathematical Sciences (INI)

The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.

The meeting aims to build new bridges and to foster interactions between experts employing techniques proper of Geometric Measure Theory in different areas, including Calculus of Variations, Differential Geometry, Ergodic Theory, Fractal Geometry, Metric Analysis, Optimal Transport and PDE's.

Email: gmtcortona2024@gmail.com

Geometric Measure Theory, Calculus of Variations, Differential Geometry, Ergodic Theory, Fractal Geometry, Metric Analysis, Optimal Transport, PDEs.

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, investigates Shape Optimization problems for which symmetry-breaking is believed to occur: the energy functional is radially symmetric and yet its minimizer fails to enjoy full symmetry. Unlike in many other problems, the optimal shape is not the ball. The ball does solve many natural shape optimization problems for geometric and physical models, including the classical isoperimetric inequality and inequalities for capacity and the first eigenvalue of the Laplacian under Dirichlet, Robin or Neumann boundary conditions. Thus it becomes particularly fascinating to investigate problems where the ball is NOT the best, and to determine the optimal shape in those situations.

The main topics for the workshop are: Topic 1: Examples where the ball is non-optimal. Topic 2: Techniques for identifying optimal shapes: shaking, tensorization, geometric flows, first or second order arguments to prove the optimal shape must be a polygon or polytope, free boundaries analysis. Topic 3: Notable conjectures including Polya's capacity problem, Neumann spectral problems, problems from convex geometry, isodiametric capacity maximizers, Alexandrov's conjecture for intrinsic diameter.

Azerbaijan University of Architecture and Construction

The International Conference on Modern Problems of Mathematics, Mechanics and their Applications, June 19-21, Baku, Azerbaijan, will be held under the organization of the Ministry of Science and Education of the Republic of Azerbaijan, Azerbaijan University of Architecture and Construction and Istanbul Technical University. MPMMA 2024 will provide a forum where the researches from universities and academic environments can meet to share ideas and discuss recent achievements on announced topics. Time of a plenary talk will be 45 minutes.

Orginizing Committe;     Phone: [+994553683811];     Email: aidatagiyeva1984@gmail.com

Spectral theory of differential operators Operator theory Function spaces Differential equations and applications Approximation theory Optimization theory Algebra and geometry Probability, statistics and financial mathematics CFD modelling Applied mathematics Mechanics and applications Artificial Intelligence modelling Computational Methods Data modelling Computational Geometry Computational Biology

Applied Mathematics (in general),    Algebra

Kaunas University of Technology and Georg-August Göttingen University

The international scientific conference organised by the Kaunas University of Technology (KTU) and the the Georg-August-Universität Göttingen (Germany) is dedicated to the 160th anniversary of the birth of Professor Dr. Hermann Minkowski. The conference will be held on June 20-22, 2024 in the historic Aula, A. Mickevičius st. 37, Kaunas. The University of Lithuania was solemnly opened in this Aula in February 16 1922.

Email: minkowskiconference@ktu.lt

Number theory, Convex Geometry, History of mathematics, Applied mathematics, Didactics of mathematics, Hermann Minkowski

Number Theory, Arithmetic,    Applied Mathematics (in general)

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

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

American Institute of Mathematics (AIM)

This online workshop, sponsored by AIM and the NSF, will be devoted to formalising basic and advanced concepts in algebraic geometry. Algebraic geometry should be interpreted broadly, and could include topics in related areas such as complex differential geometry and arithmetic geometry. Formalising here means translating mathematical ideas into the language of a computer theorem prover; the prover we will use will be Lean. Works such as EGA and the Stacks project are comprehensive human-written sources for modern algebraic geometry, however they are huge and need to be triaged before a comprehensive formalisation can take place.

The main topics for the workshop are: Isolation of key formalisable goals in the area; Developing strategies to formalise key definitions and theorems (for example the Riemann-Roch theorem and its generalisations, definitions and basic facts about coherent and etale cohomology, faithfully flat descent, etale fundemantal group ...); Formalising these definitions and theorems, and PRing the work to Lean's mathematics libary; Development of a blueprint for future progress in the area.

University of Nebraska-Lincoln

Join us for a five-day workshop hosted by UNL, with support pending from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and knotted surfaces. The workshop will be preceded by introductory mini-courses on Zoom, which will take place on June 20 and 21. Participants may register for either or both workshop components.

Email: zupan@unl.edu

4-manifold, trisection, knotted surface

Centre de recherches mathématiques (CRM)

Erdős Center - Alfréd Rényi Institute of Mathematics

The Simons collaboration on “New structures in low-dimensional topology” organises a summer school, consisting of 6 short lecture series on topics and techniques in low-dimensional topology. The main target audience are PhD students in low-dimensional topology.

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

Applied Mathematics (in general),    Number Theory, Arithmetic

Poisson 2024 is the 13th in a series of international meetings on Poisson geometry. Poisson 2024 will be held at the Accademia Pontaniana, Napoli, Italy. The event comprises: a Summer School (July 1-5), aimed at students in their final years, PhD students and young researchers. an International Conference (July 8-12), to be attended by students and researchers from around the world, including some of the leading mathematicians in the field of Poisson Geometry.

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

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

High Energy Physics, Particles and Fields,    Mathematical Physics

American Institute of Mathematics (AIM)

This workshop, sponsored by AIM and the NSF, will be devoted to connections between scissors congruence K-theory and Steinberg modules. Scissors congruence is the study of when objects such as polyhedra, manifolds, varieties, etc. are equivalent under decomposition into pieces. In the last decade, the introduction of K-theoretic constructions in the study of scissors congruence problems by Campbell and Zakharevich has seen exciting applications and opened new avenues of attack on this problem. Generalizing results for classical scissors congruence groups, Malkiewich showed that scissors congruence groups can be described as group homology with coefficients in Steinberg modules. Steinberg modules are certain representations that are relevant to the study of representations of linear groups, algebraic K-theory, and the cohomology of arithmetic groups. The goal of the workshop is to bring together researchers studying scissors congruence K-theory and as well as Steinberg modules, in order to explore interactions between the two fields.

The main topics for the workshop are: Scissors congruence K-theory Resolutions of Steinberg modules (Co)algebraic structures of Steinberg modules and scissors congruence spectra Connections with more classical forms of K-theory

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

Fields Institute

Symplectic geometry originated in classical mechanics, and subsequently evolved into a mathematical abstraction thereof. This field currently plays indispensable roles in pure and applied mathematics, mathematical physics, and engineering. This workshop will showcase some of the modern advancements in symplectic geometry.

Symplectic quotients and related constructions; Classification problems in equivariant symplectic geometry and topology; Geometric quantization

The conference, which will take place at Swansea University 15-19 July 2024, is focused on exploring the rapid developments in understanding deformations of integrable theories; their application to string theory sigma models; their possible AdS/CFT applications and interpretations; their connection to higher dimensional Chern-Simons theories; and their interface with the mathematics of Poisson-Lie and non-abelian dualities.

High Energy Physics, Particles and Fields,    Mathematical Physics

Isaac Newton Institute for Mathematical Sciences

The workshop focuses on the role of equivariant techniques in enumerative geometry and moduli stacks. It will bring together researchers working on the relationship between concepts of stability and wall-crossing in different settings such as moduli stacks, geometric invariant theory, Bridgeland stability and K-stability, as well as enumerative geometers studying the geometry and topology of Hilbert schemes of points on surfaces and higher dimensional manifolds and related invariants.

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

London Mathematical Society at Cardiff University

Information on the application process at the conference page, deadline 07.04.2024.

The field of geometric flows is a highly active research area located in the intersection of partial differential equations (PDE), differential geometry and convex geometry. The most prominent prototype equations are the mean curvature flow and the Ricci flow, the latter being the main key to the so far only solution of a Millennium problem listed by the Clay institute, the so-called Poincaré conjecture, which was solved by Perelman building upon ideas of Hamilton.

These geometric equations are fully nonlinear systems and the PDE theory required to rigorously understand their details is in the most cases much deeper than what is taught in undergraduate PDE courses. They comprise results from regularity theory for fully nonlinear (elliptic and parabolic) PDE, advanced results from functional analysis and operators on manifolds.

Contrary to what is usually covered in research schools on geometric flows, this school is supposed to focus on the PDE aspects of geometric flows, which is often considered as technical and therefore neglected. Our PDE expert lecturer Dr. Ben Lambert aims to make this material as accessible as possible and the theory will be accompanied by their application to the curvature flow equations, delivered by Prof. Alessandra Pluda. Additional guest lectures with further applications to geometry will be held by Prof. Mohammad N. Ivaki.

This research school is well-suited for research students roughly at PhD level and for early career researchers working in one or both of the fields of PDE and Differential Geometry. In particular, anyone working with PDE is encouraged to apply, even if their work is not related to geometric flows.

Email: scheuer@math.uni-frankfurt.de

Partial Differential Equations; Curvature flows

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

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

inovinescientificmeetings

Inovine Meetings LLC solicit your gracious presence at “5th World Congress on Infectious Diseases” (WCID 2024) which will be taking place in the month of July 29-30, 2024 held at London, UK. This Hybrid event allows you to participate as in-person in London, UK or Virtually from your home or work. The congress will highlight the theme “Promulgating innovations in Infectious Diseases.”

Phone: [04086482233];     Email: infectiousdiseasesinovine123@gmail.com

Inovine Meetings LLC solicit your gracious presence at “5th World Congress on Infectious Diseases” (WCID 2024) which will be taking place in the month of July 29-30, 2024 held at London, UK. This Hybrid event allows you to participate as in-person in London, UK or Virtually from your home or work. The congress will highlight the theme “Promulgating innovations in Infectious Diseases.”

Nuclear Physics,    Number Theory, Arithmetic

Universidad de los Andes

Tropical geometry is a piece-wise linear geometry which merges ideas from algebraic, symplectic and non-archimedean geometry with tools from combinatorics and convex geometry. Via the process of tropicalization, classical varieties and geometric problems can be connected to the tropical world and, in some cases, solved there. In non-archimedean geometry, the valuation on the underlying field makes the idea of tropicalization particularly natural and powerful. In recent years, this connection has received much attention and exhibited links to diverse topics such as Hodge theory, mirror symmetry and the study of zeta functions. The main goal of this event is to introduce students and young mathematicians to these exciting topics and to foster and strengthen the connections between local researchers and the international mathematical community.

Email: p.cubideskovacsics{at}uniandes.edu.co

Tropical geometry, non-archimdean geometry

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

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

Mathematics Münster

The Young Topologists Meeting (YTM) is an annual international conference aimed at early-career researchers in topology - both pure and applied - covering the whole breadth of the subject. It serves as a platform for graduate, PhD students, and early postdocs to present their research, exchange ideas, and build international connections. Previous editions of the conference have been organized by the EPFL, Switzerland, the University of Copenhagen, Denmark, and jointly by the University of Stockholm and the Royal Institute of Technology, Sweden. Next up: Münster, Germany.

Email: ytm2024@uni-muenster.de

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

Algebra,    Probability and Statistics, Game Theory

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

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop will include introductory lectures on each of the four main topics of the program: geometric flows, geometric problems in mathematical relativity, global Riemannian geometry, and minimal submanifolds. The workshop will also have semi-expository lectures on recent advances and breakthroughs involving interactions between the four main topics. This will set the stage and provide important context for the semester-long program itself.

mean curvature flow, Ricci flow, fully nonlinear flows, general relativity, mass, Ricci curvature, scalar curvature, sectional curvature, symmetry, Riemannian geometry, group actions, minimal surfaces, stability and index

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

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

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

Institute for Advanced Study in Mathematics (IASM)

The theories of rational/trigonometric/elliptic functions were developed as functions over plane/cylinder/torus, respectively, before the 20th century. Among them, the theory of elliptic functions is most interesting, and it can be understood as the parent theory of the rest. During the 20th century, the same rational/trigonometric/elliptic trichotomy has been also found in integrable systems, algebras and cohomology groups. Like the theory of functions, recent development reveals that the relationship among integrable system, algebra, geometry, and physics becomes most profound at elliptic level. In particular, Lie algebras (rational) are promoted to affine Lie algebras (trigonometric) and toroidal Lie algebras (elliptic). The workshop aims at investigating quantum versions of toroidal Lie algebras, called quantum toroidal algebras.

Mathematical Physics,    Algebra

This conference will be centred on recent progress at the intersection of algebraic geometry and string theory. It will feature four introductory survey lectures by world-leading experts, as well as more advanced research talks. We also aim to provide ample opportunity of collaboration and discussion in a workshop-style setting, usually with no more than four hours of talks each day.

High Energy Physics, Particles and Fields,    Mathematical Physics

The 2024 Brasov edition is organized in partnership with the Clay Mathematics Institute.

CIRM – Centre International de Rencontres Mathématiques

Simons Laufer Mathematical Sciences Institute (SLMath)

This workshop aims to prepare the participants for the main program: Special Geometric Structures and Analysis. There will be introductory lectures to recent results in geometry and analysis; more precisely in Kähler geometry, special holonomy, microlocal analysis and geometric measure theory

Kähler manifolds, Kahler metrics, Einstein metrics, canonical metrics, special holonomy, Calabi-Yau, geometric elliptic and parabolic PDEs, Pluripotential Theory, variational approach, Monge-Ampère equation, area minimizing currents, semicalibrated currents, minimal surfaces

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

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

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

Institute for Advanced Study in Mathematics (IASM)

This workshop intends meeting point for specialists and young researchers active at the interface of non-commutative geometry, free probability, integrability and enumerative and tropical geometry, random matrices and topological recursion.

Universidade de Santiago de Compostela; Galician Center for Mathematical Research and Technology (CITMAga)

The aim of this conference is to gather experts in the study of symmetry in Differential Geometry, whilst we celebrate Eduardo García Río's 60th birthday. The conference will revolve around the study of curvature, homogeneous and symmetric spaces, Riemannian submanifold geometry, and other related topics in Differential Geometry and Geometric Analysis.

Riemannian geometry, semi-Riemannian geometry, geometric analysis, Lie groups, homogeneous spaces, submanifold geometry, curvature.

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

Hausdorff Research Institute for Mathematics (HIM)

Analytic questions of a discrete nature are ubiquitous in many areas of mathematics and theoretical computer science. The purpose of this conference is to bring together a diverse group of experts working, broadly, on Discrete Analysis with particular emphasis on questions having a geometric component. The topics will include Boolean analysis, vector-valued harmonic analysis, metric embeddings, geometry of graphs and groups, and aspects of discrete probability and theoretical computer science.

Goethe University Frankfurt

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

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

Institute for Advanced Study in Mathematics (IASM)

This workshop will tackle some fundamental open questions about Artin-Schelter regular algebras, in particular, elliptic algebras, and their associated Poisson structures. In particular, it will focus on the correspondence between the representations of elliptic algebras and the symplectic leaves of their semi-classical limits, as well as on the relationship between the deformation theory of Artin-Schelter regular algebras and that of the derived category or the A-infinity-category of related projective schemes. This workshop brings together leading experts in algebra and geometry from around the world to identify and attack these outstanding problems and to collaborate for future breakthroughs.

CIRM – Centre International de Rencontres Mathématiques

Applied Mathematics (in general),    Multidisciplinary or General Events in Informatics

Isaac Newton Institute for Mathematical Sciences

This workshop will focus on various aspects of the geometry of interacting random paths. The aim is to bring together researchers specialising in random processes such as branching random walks, activated random walks, random interlacements, and other models of interacting random walks, as well as their continuous time counterparts. The workshop will explore questions and results concerning the geometry of the ranges of these processes, and further properties of their occupation time fields, for instance, their associated “thick points”. It will include two-mini courses in addition to the programme of research talks.

Abdus Salam International Centre for Theoretical Physics (ICTP), Trieste, Italy

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

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

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

Isaac Newton Institute for Mathematical Sciences

Equivariant techniques have played a critical role in the proofs of several major results and developments in algebraic topology over the past decade. Examples include the solution of the famous Kervaire invariant one problem, computations of previously inaccessible homotopy groups of spheres based on the motivic Adams spectral sequence, and the new equivariant approach to THH, TC, and algebraic K- theory. The programme will unite experts and young researchers who apply homotopic methods in algebra (operads), algebraic topology, and algebraic geometry (motivic homotopy theory) around the common theme of equivariant methods. Though these methods have already led to significant breakthroughs, their potential is clearly far from exhausted. We foresee that this programme will incite further developments and greater synergies between equivariant homotopy theory and the themes of the programme centred around three workshops: "Operads and calculus", "Chromatic and motivic homotopy theory" and "THH, TC and algebraic K- theory".

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

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

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

Isaac Newton Institute for Mathematical Sciences

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

Isaac Newton Institute for Mathematical Sciences

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

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

Isaac Newton Institute for Mathematical Sciences

Equivariant homotopy theory in context

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

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

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

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

Homotopy theory is in the midst of a renaissance as its usefulness in other areas of mathematics is becoming increasingly recognised. From polyhedral products in geometric group theory, to combinatorial methods in group theory, to topological properties of manifolds and spaces of embeddings, to Morava K-theory in symplectic geometry, to simplicial methods in topological data analysis, to a host of applications in mathematical physics - and these name only a few areas of interaction - homotopy theory over the past ten to fifteen years has significantly extended its reach. This program will assemble a wide range of leading experts to discuss the state of the art in current research, both in terms of core fundamental problems and crossover to other areas, and explore exciting new directions.

The Fields Institute for Research in Mathematical Sciences

This workshop will accelerate development of new directions in chromatic and unstable homotopy theory and in the homotopy theory of polyhedral products. Key will be the exploration of areas of interaction: unstable homotopy theory and polyhedral products have substantial existing intersection while recent developments in chromatic homotopy theory suggest exciting new intersections with unstable homotopy theory and polyhedral products.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

The Fields Institute for Research in Mathematical Sciences

This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.

Courses and Events for Math Students and Early Career Researchers,    Group Theory

The Fields Institute for Research in Mathematical Sciences

Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.

Group Theory,    Courses and Events for Math Students and Early Career Researchers

The René 25 conference will bring together renowned international researchers in mathematics to celebrate the research interests of René Schoof, which include the fields of algebraic number theory, arithmetic algebraic geometry, computational number theory and coding theory.

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

Neural Networks and Artificial Intelligence, Machine Learning,    Optimization Theory, Operational Research