Conferences and Meetings on Geometry and Topology

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

Discrete Mathematics, Algebra and Number Theory, Geometry and Topology

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

Swiss Knots 2019 is part of a series of biannual conferences on knot theory and low-dimensional topology organized in Switzerland.

Email: swissknots@math.ethz.ch

The Young Topologists Meeting is an annual event for graduate students, recent PhDs and other junior researchers in topology. Previous editions were organised by the University of Copenhagen, jointly by Stockholm University and the Royal Institute of Technology, and the EPFL. The Young Topologists Meeting 2019 will take place July 22-26 at the EPFL.

University of Ottawa

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

This workshop, sponsored by AIM and the NSF, will be devoted to studying rationality problems in algebraic geometry.

The workshop is intended for graduate students with some postdocs, and will be led by Diane Maclagan and Jeff Giansiracusa. More information can be found on the workshop webpage.

Bandung Institute of Technology

The Mid Year School on Analysis, Geometry, and Applications, abbreviated MYSAGA, is a recent initiative from Analysis and Geometry Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung (ITB). The school is held for master and doctoral students in mathematics, but newly graduated mathematics doctors are also welcome. The lectures will be delivered by three experts in the field, two of which are coming from overseas.

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

The Fields Institute

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

The Fields Institute

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

Algebra,    Group Theory

Euler Mathematical Institute

The conference dedicated to the centennial anniversary of Vladimir Abramovich Rokhlin (23.08.1919-3.12.1984). The topics of the conference follow the main areas of research of Rokhlin: Topology, Geometry, and Dynamics.

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

The Banff International Research Station will host the "Groups and Geometries" workshop in Banff from August 25, 2019 to August 30, 2019.

Group theory is an abstract subject, but it is also the mathematical way to investigate symmetry. Thus many problems from various areas of mathematics which involve some sort of symmetry are susceptible to the application of group theory. In this proposal we plan to cover three main areas: the abstract structure of finite groups; some geometrical aspects of group theory; and several recent applications of group theory to other areas of mathematics.

Email: olivia@cirm-math.fr

Twistor theory, loop quantum gravity

Mathematical Physics,    High Energy Physics, Particles and Fields

The "Bucharest Conference on Geometry and Physics" (September 2-6, 2019) organized by the "Geometry and Physics" group (https://events.theory.nipne.ro/gap/index.php) will take place at the "Simion Stoilow" Mathematics Institute of the Romanian Academy, in the Miron Nicolescu conference hall. It will be the first conference in a series of such events which we intend to organize every two years.

Email: mbabalic@theory.nipne.ro

mathematical aspects of string theory, supergravity, cosmology, topological field theory, topological string theory, geometric quantization, geometric aspects of non-linear and integrable systems, connected subjects in differential, algebraic and complex geometry, algebraic topology, geometric analysis, analysis on manifolds and operator theory.

Mathematical Physics,    High Energy Physics, Particles and Fields

This conference is funded by the European Research Council (ERC)

Conference on geometric aspects of string theory -- formerly known as the series "Physics and Geometry of F-theory" -- this new instalment will include a wider range of recent developments in geometric aspects of string theory.

High Energy Physics, Particles and Fields,    Mathematical Physics

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

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

Algebra,    Number Theory, Arithmetic

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

Casa Matemática Oaxaca (CMO)

Centre International de Rencontres Mathématiques (CIRM)

WORKSHOP

Graph Drawing is concerned with the geometric representation of graphs and constitutes the algorithmic core of Network Visualization. GD has been the main annual event in this area for more than 25 years. Its focus is on combinatorial and algorithmic aspects of graph drawing as well as the design of network visualization systems and interfaces.

Graph Theory and Combinatorics,    Information Theory, Foundations of Computer Science

University of Southampton, UK

This three-day meeting in Southampton is intended to bring together researchers from the mathematics departments of the University of Bielefeld and the University of Southampton and a number of other researchers with similar interests. The general theme of the meeting is Geometric Group Theory, more specifically infinite groups in the presence of nonpositive curvature. During the meeting, we intend to hold ten talks with sufficient breaks to allow time for discussions.

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

International conference on Geometric Analysis dedicated to the 90th anniversary of academician Yu. G. Reshetnyak will take place in Novosibirsk, Russia on September 22-28, 2019. The conference is organized by Sobolev Institute of Mathematics of SB RAS and Novosibirsk State University. The goal of the conference is to discuss modern state and main trends of development in geometric analysis and its applications.

University of Oxford, Mathematical Institute

The event is organised in partnership with the Clay Mathematics Institute.

Tula State Pedagogical University of Leo Tolstoy

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

Algebra,    Number Theory, Arithmetic

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

While the role of topology in the modern condensed matter physics is difficult to overstate, and despite numerous experimental corroborations of theoretically predicted symmetry-protected topological phases (such as topological insulators), most of these advances can be formulated in the language of non-interacting particles. Real-world realizations of interacting topological phases are, meanwhile, very sparse, with the fractional quantum Hall effect being a notable counterexample. Similarly, the question of stability of topological phases at finite temperatures – a prerequisite for their experimental realizations – is poorly explored. This conference will address these and related questions

Mathematical Physics,    Condensed Matter Physics and Materials

This conference will bring together leading researchers from Australia and abroad working on different aspects of analysis on manifolds and more general geometric spaces. The meeting will include a variety of topics, such as partial differential equations, curvature flows, spectral theory, index theory and non-commutative geometry. A guiding motivation at will be applications to topology, geometry and physics, and talks will highlight applications of analytic techniques to problems in these areas. This way, we aim to inspire research on new bridges between different areas of analysis, geometry, topology and physics, to foster collaboration between researchers in these fields, and to inspire the next generation of mathematicians.

Differential Geometry, Index Theory, Partial Differential Equations, Non-commutative Geometry, Curvature Flows, Spectral Geometry

Calculus, Differential Equations and Integration,    Analysis

Centre International de Rencontres Mathématiques (CIRM)

Conference in memory of Thomas Friedrich (1949-2018). Invited speakers include Ulrich Bunke (Regensburg), Marisa Fernandez (Bilbao), Anna Fino (Torino), Joachim Hilgert (Paderborn), Stefan Ivanov (Sofia), Andrei Moroianu (Paris), Werner Mueller (Bonn), Paul-Emile Paradan (Montpellier), Simon Salamon (London), and Jan Slovak (Brno).

Email: simongc@id.uff.br

High Energy Physics, Particles and Fields,    Analysis

Centre International de Rencontres Mathématiques (CIRM)

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

WORKSHOP

Algebra,    Graph Theory and Combinatorics

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

Email: mnoce@unisa.it

Algebra,    Group Theory

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

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

This conference is intended to kickstart the program "Spin and Heat Transport in Quantum and Topological Materials" which combines the fields of spintronics, quantum magnetism, topological matter, and quantum criticality. It explores connections between the most recent experimental and theoretical progress in these areas, setting the stage for the program and establishing targets and key grand challenges.

Mathematical Physics,    Quantum Mechanics and Quantum Information Theory

Centre International de Rencontres Mathématiques (CIRM)

The Fields Institute

With an eye towards the use and need for higher structures, this workshop will bring together experts in algebraic geometry, symplectic geometry, and theoretical physics to focus on common areas interacting with HMS. Potential topics are Bershadsky--Cecotti--Ooguri--Vafa theory, shifted symplectic structures, higher Donaldson-Thomas invariants, and symplectic duality, in relation to HMS.

Applied Mathematics (in general),    Mathematical Physics

Centre International de Rencontres Mathématiques (CIRM)

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

Banaras Hindu University Varanasi, University of Strasbourg

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

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

Graph Theory and Combinatorics,    Group Theory

The Fields Institute

Two intensive mini-courses will be given over one week by experts on polyhedral products and toric topology. These are designed to give graduate students and early career researchers in nearby fields a better understanding of each subject by presenting multiple viewpoints from different lecturers, thus enabling the participants to better engage in the subsequent workshops and seminars.

A complete understanding of quantum gravity, as it pertains to our universe, remains one of the biggest challenges in theoretical physics. As our observational constraints on the early universe and black hole physics improve, this theoretical challenge has become even more urgent. This conference aims to explore the latest developments in quantum gravity and string theory, ranging from ideas motivated from holographic dualities to new results developing the landscape of string theory vacua.

structure of the landscape of string theory solutions; emergence of spacetime from other degrees of freedom; quantum information aspects of quantum gravity; recent developments in AdS/CFT; QFT methods applied to gravitational problems, such as the analytic conformal bootstrap and UV deformations of QFT; perturbative amplitudes in gravity and string theory

Mathematical Physics,    Quantum Mechanics and Quantum Information Theory

Kyoto University

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

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

Algebra,    Applied Maths: Numerical Analysis, Algebra and Computational Mathematics

Centre International de Rencontres Mathématiques (CIRM)

Johns Hopkins University

The Fields Institute

The workshop will introduce and explore new themes of research in toric topology. It will provide an opportunity for interaction between people who work on different aspects of torus actions, such as topological, combinatorial, symplectic and algebro-geometric.

Knots are fundamental objects of study in low dimensional topology and geometry, and the subject has seen tremendous progress in the recent years. The aim of this program is to familiarise and enthuse younger researchers in India about the latest advances in the subject with a particular emphasis on computational aspects of (co)homological, combinatorial and polynomial invariants of knots. The program will also discuss some important aspects of knot theory from physics point of view. The program will have two components, an advanced workshop (23 - 28 March 2020) followed by a discussion meeting (30 March - 03 April 2020). The advanced workshop will consist of mini courses on current aspects of knot theory by renowned experts. These topics will cover some of the latest advances in the subject, and will also prepare the participants for the discussion meeting which will consist of talks by well-known researchers in the field.

Knots, quandles, Khovanov Homology, Jones Polynomial

Cambridge University

Institut Henri Poincaré, Paris

Les périodes apparaissent dans différentes branches des mathématiques, comme l’indique le titre de notre colloque : leur étude mêle arithmétique, analyse diophantienne, équations différentielles et géométrie algébrique. De nombreux résultats intéressants sur les périodes ont été prouvés ces dernières années et beaucoup de questions difficiles restent ouvertes. Le but de cette rencontre est de réunir les spécialistes de ces différents aspects des périodes et de leurs ramifications, en portant une attention particulière à d’éventuelles nouvelles applications des techniques jusqu’ici confinées à l’étude des périodes et de leurs réalisations.

Number Theory, Arithmetic,    Calculus, Differential Equations and Integration

Centre International de Rencontres Mathématiques (CIRM)

Mathematical Physics,    Courses and Events for Math Students and Early Career Researchers

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

The workshop will review fundamental developments in several branches of anabelian geometry, as well as report on recent developments.

This workshop is one of four workshops of special RIMS year "Expanding Horizons of Inter-universal Teichmüller Theory".

The Fields Institute

Two mini-courses will be given by experts in Geometric Group Theory. These are designed to give graduate students and early career researchers a research level perspective on how and why Polyhedral Products appear in Geometric Group Theory, thereby enabling the participants to engage fully in the workshop that immediately follows.

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

The Fields Institute

Two special cases of the polyhedral product construction have been immensely influential in geometric group theory, giving rise to at least three major families of examples of groups parametrized by flag simplicial complexes: right-angled Coxeter groups associated with the polyhedral product for pairs (,*); right-angled Artin groups associated with the polyhedral product for pairs (,*); and Bestvina-Brady groups associated with a covering space of the polyhedral product for pairs (,*). However, the interaction between toric topology and geometric group theory is largely unexplored. The purpose of this workshop is to significantly increase synergies between the two groups and establish a framework for approaching common problems and methods in a more global context.

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Group Theory

Institute for Mathematical Sciences/National University of Singapore

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

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

Banff International Research Station for Mathematical Innovation and Discovery

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

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

Centre International de Rencontres Mathématiques (CIRM)

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

Centre International de Rencontres Mathématiques (CIRM)

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

The purpose of the present workshop is to expose fundamental, introductory aspects of combinatorial anabelian geometry, as well as more recent developments related to the Grothendieck-Teichmüller group and the absolute Galois groups of number fields and mixed-characteristic local fields.

Graph Theory and Combinatorics,    Number Theory, Arithmetic

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

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

This conference contains contributions that give an overview of the current research in geometric mechanics. This scientific subject is simultaneously close to mathematics, physics, and engineering and its general philosophy consists in taking advantage of fruitful interactions between geometry on the one hand and dynamics and mechanics on the other. This conference will be the occasion to celebrate the 70th birthday of Tudor Ratiu who over the years has made many fundamental contributions in the development of this field.

Applied Maths: Dynamic Systems, Control and Automation,    Mathematical Physics

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

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

The Galileo Galilei Institute for Theoretical Physics

Many remarkable properties of gauge theories rely on the topology of field configurations and/or ambient spacetime and are connected with quantum anomalies and nonperturbative excitations. These properties, often exact, have many implications in the physics of fundamental interactions, condensed matter systems and statistical mechanics models. They also account for a large part of the investigations in string theory, and combined with supersymmetry have led to exact solutions of low-energy theories and the discovery of duality relations between supersymmetric gauge theories. Meanwhile, a renewed interest in topological aspects has emerged from condensed matter physics, through the study of topological phases of quantum matter. The effective field theories for these systems are not of the usual Landau-Ginzburg-Higgs type, rather, they are described by topological gauge theories. The goal of this GGI activity is to bring together theoreticians of different backgrounds, in condensed matter, high energy and mathematical physics, with the belief that interdisciplinary approaches can lead to substantial progress in many directions.

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Condensed Matter Physics and Materials

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

The Galileo Galilei Institute for Theoretical Physics

Topological properties of gauge theories find application in the characterization of novel phases of matter and in establishing nonperturbative phenomena such as the duality relations between quantum field theories in three and four spacetime dimensions. This conference is meant to expose the current status of research in several domains dealing with topology and duality

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Mathematical Physics

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

The Galileo Galilei Institute for Theoretical Physics

Anomalies of quantum field theories * Generalized symmetries * Topological aspects of quantum states in condensed matter * (Supersymmetric) dualities in (2+1)-dimensions * Time-reversal symmetry and 4d theta-terms

High Energy Physics, Particles and Fields,    Mathematical Physics

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

Algebra,    Graph Theory and Combinatorics

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Centre International de Rencontres Mathématiques (CIRM)

Institute for Mathematical Sciences/National University of Singapore

In this two-week program, we explore the interactions between geometric group theory, geometric structures and Anosov representations. Geometric group theory, in the broadest sense, seeks to understand the structure of groups through their actions on objects with geometric meaning. Conversely, one can take a known group and attempt to understand all its geometrically meaningful actions. One natural notion that arises in this setting is an Anosov representation, which came about as an attempt to describe what it means for the action of a discrete group on a homogeneous space to be geometrically well behaved. Also, in his Erlangen program, Felix Klein viewed geometry as a space which is invariant under a group of transformations. This gave rise to the notion of a geometric structure, which gives yet another notion of a geometrically meaningful action of a group on a homogeneous space.

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

Stability, Boundedness and Fano Varieties at the Beijing International Center for Mathematical Research.