Conferences and Meetings on Geometry and Topology

The notion of fractals was introduced by Mandelbrot as new models of the shapes of objects in nature like the coastline, trees and the surface of rocks, which can not be represented by combinations of smooth objects such as lines, rectangles, circles and spheres. Since there happens natural phenomena such as waves and heat diffusions on those objects modeled by fractals, we need to develop the theory to treat such natural phenomena on fractals, which are included in the category of metric spaces. This direction of study is called analysis and geometry on metric spaces. In this area of research, there have been two groups, one has tried to extend the existing theory for smooth spaces and the other has tried to use the complicated structure of the object itself. These two groups have been working separately for more than 20 years and both have obtained fruitful results. However, recently, evidences of strong connection between those two approaches. So the main purpose of this workshop is to gather people from both sides, to promote interaction and to create a common ground for deeper study in this area.

University of Nantes

Mathematical Physics,    Quantum Mechanics and Quantum Information Theory

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

University of Pennsylvania, Philadelphia

Centre International de Rencontres Mathématiques (CIRM)

California State University, Chico

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

This workshop centres on new advances in topology resulting from quantum invariants, a novel collection of algebraic objects that in currently experiencing a period of intense development. These invariants have their origins in knot theory, that is, the study of knotted loops in three-dimensional space. Beginning with Jones' discovery of a new invariant of knots in the 80s, quantum invariants have grown into a wide-reaching algebraic discipline with ramifications that extend beyond the study of knots and links. Indeed, the most recent developments - pioneered by Khovanov - move these polynomial invariants to homological invariants which have, in recent years, provided new insight in 4-dimensional topology. The workshop will bring together a broad range of experts from around the world working in quantum-homological invariants of knots and links with the aim of tackling new problems in topology with these tools.

Centre International de Rencontres Mathématiques (CIRM)

Simons Center for Geometry and Physics, Long Island, NY

This workshop will explore topics of current interest in the theory of Floer homology for 3-manifolds. Floer homology is a powerful tool for studying the topology of 3- and 4-dimensional manifolds, and the relations between them. The first such invariants were introduced by Floer, and arose in the context of Donaldson theory on smooth 4-manifolds.

MPI für Mathematik in den Naturwissenschaften Leipzig

This year's speaker for the Chow lectures is June Huh (Instiute for Advanced Study, Princeton). The general topic of this series is "Combinatorics and geometry of Lorentzian polynomials".

Cornell University

Phone: [6072554013];     Email: hko1@cornell.edu

University of Liverpool, Department of Mathematical Sciences

The main topics of this meeting are the geometries of Markov's theorem. Among such geometries are hyperbolic geometry and the geometry of numbers. Minkowski-Voronoi polyhedra, Klein sails, etc. We are planning to discuss new advances and currently open problems in order to establish interrelations between different theories of multidimensional continued fractions

Email: M.J.Van-Son@liverpool.ac.uk

Markov numbers, Minkowski-Voronoi polyhedra, Klein sails, geometry of numbers, hyperbolic geometry, geometric continued fractions, multidimensional continued fractions

Centre International de Rencontres Mathématiques (CIRM)

Nordic Institute for Theoretical Physics (Nordita)

This conference is associated to the annual meeting of the Swiss Mathematical Society, held on 14 May 2020 on campus, where Claire Voisin gives the plenary talk.

Changes in dynamics define many of the important phenomena we see around us, such as the passage from normal heart beat to arrhythmia, the collapse of the stock market, and the shedding of vortices from airplane wings. Mathematically such dynamic transitions are modelled by connections in nonlinear dynamical systems, mainly in the form of ordinary differential equations, partial differential equations and delay differential equations. This workshop focuses on combining computational techniques with abstract mathematics to improve our fundamental understanding of transitions in dynamical systems.

Israel Institute for Advanced Studies (IIAS) The Hebrew University of Jerusalem

In recent years a remarkable new link has been unfolding between o-minimality (a branch of model theory) on the one hand, and Diophantine geometry and Hodge theory on the other. It has been discovered that some central objects of study in the latter two areas, such as theta functions and period maps, can be studied within the structure R_{an,exp} - an o-minimal structure that has long been an object of investigation in o-minimal geometry. A combination of ideas from these three areas have led to resolutions of several outstanding conjectures in Diophantine geometry and, more recently, in Hodge theory. The goal of this workshop will be to introduce these three different areas and their fruitful interactions, and to serve as a bridge between experts already working in some of these fields. The schedule will consist of tutorial minicourses on the three main topics (o-minimality, Diophantine geometry and Hodge theory) with a focus on the areas where they intersect; and more advanced research talks by experts in each of these areas.

Universität Stuttgart,

This is a 5-day workshop to be held at UQAM in Montreal, focusing on special geometric structures in Riemannian geometry.

Centre International de Rencontres Mathématiques (CIRM)

CIRM – Centre International de Rencontres Mathématiques

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".

Rutgers, The State University of New Jersey

geometric flows, minimal surfaces, gauge theory, symplectic geometry

University of Salerno

The aim of the Intensive Period is to bring together researchers interested in Poisson geometry in a broad sense and mathematical physics from Italy and from abroad. It also aims at presenting the foundations of the theory as well as its more recent results/ramifications to potentially interested young researchers. The Intensive Period is organized in - a Series of Seminars - a Mini-Workshop on Coisotropic Reduction - a Mini-Workshop on VB-Groupoids - a Summer School on Poisson Geometry - an International Conference on Poisson Geometry

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

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

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

Teaching a robot to move about on an empty football field is easy. There is exactly one line joining the robot's starting and finishing points, and the robot can be instructed to move from start to finish along this line. This instruction scheme is robust in the sense that nearby starting and finishing points give rise to similar instructions. If the robot is attached to a circular track, teaching it to move is harder. The instructions ``move along the shortest arc'' lead to confusion if the starting and finishing points are precisely opposite one another, as the robot doesn't know whether to move in the clockwise or counterclockwise direction. Choosing one of these two, say, the instructions ``move clockwise'', yields confusion when the starting and finishing points are the same. From these instructions, the robot does not know if it should simply stay at the start/finish point, or move in a less efficient manner, looping around the circle once or twice or\ldots

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.

IMUVA-Mathematics Research Institute of the University of Valladolid

This school is organized by the IMUVA-Mathematics Research Institute of the University of Valladolid. The main objective is to offer to future and young researchers of distinct branches of mathematics a series of courses at doctorate level on a new field connected to many areas. There will be an introductory course with minimal prerequisites and two courses on recent applications in different areas. The three courses are aimed to be as self-contained as possible in order to make the school attractive to a wide and diverse audience. The target audience is master's students, PhD students and postdocs from all areas of mathematics. Senior researchers interested in learning on this new topic are also welcome. The school is based on 3 courses organized in an exercise-based format (1 hour of lecture + 40 minutes of exercises for each session). We will also give the opportunity to young researchers to present their own work either through a series of short communications or a poster session.

1. Igusa-type zeta functions (Archimedean, p-⁠adic, motivic, topological), and related Poincaré series, 2. Zeta functions of groups, algebras, modules and representations, 3. Real singularities and zeta functions, 4. Zeta function methods in mathematical physics, 5. Zeta functions in combinatorics, 6. Bernstein polynomials

Centro di Ricerca Matematica Ennio De Giorgi

The conference is the third meeting within prof. Le Donne's ERC project GeoMeG (Geometry of Metric Groups). The idea for the 2020 meeting is to focus on the following subjects: 1) large-scale geometry of nilpotent groups (and as the sub-Riemannian geometry appear as asymptotic cone) 2) Heintze groups (= homogeneous negatively curved manifolds) and their boundaries (which are nilpotent groups, possibly equipped with non-smooth distances) 3) geometry of solvable groups or, more generally, the large scale geometry of Lie groups. Tentative list of speakers: Manuel Amann, Marc Burger, Matias Carrasco Piaggio, Yves Cornulier, Moon Duchin, Tullia Dymarz, David Fisher, Misha Gromov, David Kyed, Grigoriy Margulis, Nicolas Monod, Pierre Pansu, Frederic Paulin, Roman Sauer, Yehuda Shalom, Xiangdong Xie, Robert Young.

Algebra,    Group Theory

Université de Caen Normandie

In the recent years, new connections have emerged between complex algebraic varieties and non-archimedean spaces. They could be made precise by relying on the theory of Berkovich spaces and tropical geometry. The aim of the workshop is to present the latest techniques as well as several applications.

American Matheamtical Society

The new and rapidly expanding area of Analytic Combinatorics in Several Variables (ACSV) concerns enumeration problems in such areas as lattice walks, statistical mechanical models, quantum walks and other exactly solvable models where asymptotic estimation of coefficients of a bivariate or multivariate generating function is required. The multivariate setting incorporates a wider swath of mathematics. including singularity theory, algebraic topology, and computational algebra. Participants in this MRC will be introduced to problems from these areas of mathematics whose solutions have direct applications to ACSV. These problems are not hard to state in the language of disciplines such as Morse theory, harmonic analysis, or commutative algebra, but they ask questions not typical in those fields. A long-term goal is to advance and automate this work, so that its benefits can be used by other researchers in mathematics and the natural sciences through implementations in computer algebra packages. Problems for this MRC will be arranged around five central topics: effective computer algebra methods, algorithms using computational topology, multivariate asymptotic phase transitions, singular transforms for degenerate saddle-point integrals, and applications of harmonic analysis and singularity theory. Researchers with knowledge in any one of these areas are encouraged to apply to this MRC.

Centre International de Rencontres Mathématiques (CIRM)

Algebra,    Group Theory

Mathematics Institute, University of Warwick

This workshop will be dedicated to developing more packages for the mathematics software package Macaulay2. Macaulay2 novices are welcome.

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

University of Münster

Motives have recently been applied in several branches of representation theory, for example in geometric and modular representation theory. The goal of this workshop is to bring together researchers in these areas in order to foster new synergies in topics such as foundational aspects in the theory of motives, Tate motives on varieties of representation-theoretic origin, motivic aspects of the Langlands program, and motives of classifying spaces.

Organizers;     Phone: [+49 251 8333735];     Email: mrt2020muenster@gmail.com

Motives, Representation Theory

Algebra,    Group Theory

Banff International Research Station

The Banff International Research Station will host the "Interactions of gauge theory with contact and symplectic topology in dimensions 3 and 4" workshop in Banff from June 7 to June 12, 2020. This workshop will highlight new results in low-dimensional topology coming from a wide range of geometric methods. Low-dimensional topology studies the global properties of geometric spaces in dimensions 3 and 4, such as 3-dimensional space and 4-dimensional space-time.

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)

This international conference will gather experts in Complex Analysis and Geometry for a week in Toulouse. It will be the closing conference of the ANR Project GRACK and it will also serve as the occasion to celebrate Professor Ahmed Zeriahi's retirement.

Institut de Mathématiques de Bourgogne, Dijon

This Spring School is intended for advanced master students, PhD students, and young researchers in algebraic geometry. Its aim is to provide an insight of some current research topics on the themes of invariants in algebraic geometry. It will be centered around a series of five courses of 4 hours each completed by research talks proposed by the participants to the school.

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

One of the fascinating bridges between classical mechanics and quantum physics is expressed in the fact that the length spectrum and the Laplace spectrum of a closed Riemannian manifold determine each other (at least generically). Similarly, the set of lengths of the closed orbits of a billiard table and the Laplace spectrum of that table determine each other, at least for certain billiard tables. The main goal of this school is to introduce graduate students and young researchers to basic facts on these two spectra, and to the above correspondence. The length spectrum generalizes to the action spectrum of an autonomous Hamiltonian function. Floer homology filtered by the action spectrum can be used to construct so-called action selectors, that are a principal tool in modern symplectic geometry and dynamics, yielding simple proofs of Gromov's nonsqueezing theorem, the Weinstein conjecture in R^{2n}, the existence of closed orbits in a magnetic fields, etc. The second goal is to understand this relevance of the action spectrum in symplectic geometry. A third, more hypothetical, goal is to see which parts of the two sides can be related.

Prerequisites: We expect that students have had courses in real analysis of several variables, know what an ordinary differential equation is, and have followed a course on curves and surfaces. More knowledge is useful, but not necessary to follow the lectures.

Algebra,    Courses and Events for Physics Students

University of Hull, Department of Mathematics

We are pleased to announce a one day conference dedicated to Hanna Neumann (1914 – 1971). It will be held at University of Hull, 12 June 2020.

Hanna Neumann was an outstanding mathematician whose research has significantly influenced the development of modern group theory. Her key achievements were in combinatorial group theory, and her book ‘Varieties of Groups’ (Springer 1967) is now a recognised classic. Hanna’s academic career was closely tied to the University of Hull, where she worked from 1946 until 1958. The conference includes lectures and a number of public events. Further details will be posted on the conference webpage.

Email: a.detinko@hull.ac.uk

Group Theory,    Algebra

University of Gdansk

Laboratoire Dieudonné, Université Côte d'Azur, Nice

On the occasion of the "Chair Montel 2020" awarded by Xiaojun Huang (Rutgers U.), we're organizing an international conference on Dynamics, Several Complex Variables and CR geometry. We expect to gather outstanding contributions in complex geometry and analytic PDEs as well.

La conférence EPIGA 2020 rassemblera des mathématiciens couvrant un large spectre de la géométrie algébrique. Une demi-journée sera consacrée à des exposés et des débats sur le sujet de l'édition scientifique. Ce sera aussi l'occasion de décerner le premier prix EPIGA.

INdAM meeting

The workshop will be devoted to the study of surfaces with special metrics with singularities of conical type. In particular it will focus on the case of spherical metrics, namely Riemannian metrics of curvature 1. Such metrics have been studied from many points of view, using tools coming from synthetic geometry, complex analysis and partial differential equations. The aim of the meeting is to bring together people with different backgrounds to discuss recent developments, techniques and open questions in the areas of spherical surfaces with conical points, projective structures with singularities and their monodromy, solutions of the singular Liouville equation, polyhedral spherical surfaces, polygonal linkages.

This workshop aims at providing an updated survey of the state of the art and future research directions in the area of compact hyperkähler manifolds in its various aspects. In particular, the following are some of the topics that will be addressed during the conference: the study of automorphisms and monodromy groups of compact hyperkähler manifolds and applications, the construction of families of compact hyperkähler manifolds, and the study of Lagrangian fibrations on compact hyperkähler (singular) varieties. ​ The workshop will be an opportunity to celebrate Dimitri Markushevich's 60th birthday and to recognize his many contributions to algebraic geometry.

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

Centre International de Rencontres Mathématiques (CIRM)

CIRM – Centre International de Rencontres Mathématiques

The goal of this meeting is to gather researchers in digital geometry and discrete variational calculus, theoretical mathematical experts from geometric measure theory and variational problems and applications oriented computer scientists from image analysis or geometry processing. It would bridge the gap between various approaches to discrete calculus, and go beyond the current state of the art. We want to bring together these communities in order to promote calculus on digital spaces and structures, fostering new developments.

Calculus, Differential Equations and Integration,    Numerical Analysis and Computational Mathematics

The purpose of this meeting is to bring together a diverse range of experts and early-career researchers working in in a variety of aspects of the study of holomorphic curves and their applications to low-dimensional topology. Points of focus will include contact and symplectic structures and dynamics, Lagrangian cobordisms and Legendrian knots, and Floer–theoretic frameworks of study.

Since the time of Bernhard Riemann, the influence of analytical and algebraic methods based on Riemann surfaces, algebraic curves and abelian varieties, has been crucial in the development of other areas in physics and mathematics, as well as applications to other areas. These topics have been a very effective tool in solving problems in commutative algebra, mathematical-physics, algebraic geometry, differential geometry, complex and hyperbolic geometry, dynamical systems, singularity theory, topology and other interdisciplinary branches of mathematics that are constantly evolving. The Iberoamerican Geometry Congresses (IGC) have the particularity of gathering researchers and students from various mathematical communities of America and other regions of the world, with the aim of fostering an exchange of ideas between mathematicians in different fields, linked by the geometry of Riemann surfaces, abelian varieties and related fields.

University of Bialystok

The School is intended for young researchers and graduate students. During the School we plan to organize several 3h courses by leading experts in mathematical physics. The most recent list of speakers can be found at wgmp.uwb.edu.pl/.

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

The Computational Geometry Week (CG Week) is the premier international forum for advances in computational geometry and its many applications. The 2020 edition with the 36th International Symposium on Computational Geometry (SoCG 2020) will take place in Zürich, Switzerland, June 22-26, 2020.

The main purpose of the conference is to stimulate the exchange of new ideas in algebra, topology and geometry, and to celebrate 50 years of the Jan Kochanowski University. On the occasion of the jubilee, we plan to remind the brightest moments of mathematical research and education in Kielce. The conference will be divided int two parts - the anniversary and the scientific. The first one gives the opportunity to meet many of the former and the current elmployees of our Institute. The second, provides the space for scientific discussions at four thematic sessions, that is Topology, Analysis, Geometry and Didactics. We warmly invite all mathematicans to share our joy and scientific enthusiasm in theese special days.

Analysis,    Didactics of Scientific Disciplines

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

Organised in partnership with the Clay Mathematics Institute.

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

University of Bialystok

The Workshop on Geometric Methods in Physics is the annual international conference in the field of mathematical physics and mathematics organized by the Department of Mathematical Physics of the University of Białystok, Poland. The topics covered at the Białowieża meetings span wide areas of classical and quantum physics, geometry, topology, analysis and algebra, inspired by geometric approaches to problems arising in physics. The conference offers an excellent opportunity for the exchange of ideas between physicists and mathematicians, in an informal and inviting setting. We especially encourage the participation of early career scientists. The programme consists of invited plenary lectures (55 minutes), as well as other invited and contributed talks (40 or 25 minutes). Participants are also offered the possibility of presenting their contributions in poster form.

International Centre for Mathematical Sciences, Edinburgh; UK

Andrew Ranicki and his theory of algebraic surgery played a central role in linking manifold theory, algebraic K-theory, and its close cousin L-theory. These areas have seen great developments and advances in the last decade from distinct research communities. This workshop will bring together mathematicians working on the topology of high-dimensional manifolds and their automorphisms with those working on the algebraic K-theory (and its cousins hermitian K-theory and L-theory) of rings and ring spectra, in order to share recent progress in these areas and kindle a fresh interaction between them.

Graph Theory and Combinatorics,    Algebra

Department of Mathematics, Faculty of Information Technology, University of Pannonia in cooperation with the Regional Centre of the Hungarian Academy of Sciences, Veszprém

The conference Geometry Festival will celebrate the 65th birthday of Karoly Bezdek (University of Calgary, Canada and University of Pannonia, Hungary). The theme of the conference will be discrete geometry, related fields, aspects, recent progress. The program of the conference will consist of invited lectures and contributed talks.

Applied Mathematics (in general),    Numerical Analysis and Computational 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

Mathematical Sciences Research Institute (MSRI)

The theory of algebraic curves, arguably the oldest branch of algebraic geometry, has seen major developments in recent years, for example in the study of syzygies, and around questions about moduli spaces and Hilbert schemes of curves. The theory is rich in research activity and unsolved problems. There is an encyclopedic work by Arbarello, Cornalba, Griffiths and Harris, but there is no modern text that could be used as a textbook and that goes beyond the basics of the theory. We have embarked on a project to write a book at roughly the level of the wonderful book on complex algebraic surfaces by Arnaud Beauville.

Courses and Events for Physics Students,    Algebra

Originally introduced by Martin Bartels in the early nineteenth century, and then extensively developed by Élie Cartan in the first half of the twentieth century, the method of moving frames is a powerful tool for studying the geometry of curves, surfaces, and, more generally, submanifolds under the action of a group of transformations. In 1999, a new and more general formulation of moving frame was introduced by Fels and Olver which led to a dramatic resurgence of interest in the method accompanied by a striking extension of the range of applications. The workshop will bring together a diverse group of experts with the goal of exploring existing and emerging applications of the moving frame method to differential equations and integrable systems in physics, to computer vision and object recognition, medical imaging, broken object reconstruction, discrete and differential-difference equations, geometric numerical integration, and much more.

University of Portsmouth, School of Mathematics and Physics

Phone: [02392846358];     Email: ittay.weiss@port.ac.uk

KTH Royal Institute of Technology and Stockholm University

The Young Topologists Meeting (YTM) is an annual event that has previously been organised by the EPFL (Switzerland), the University of Copenhagen (Denmark); and jointly by Stockholm University and the Royal Institute of Technology (Sweden). This year it will take place on July 6-10 in Stockholm. The intention of the conference is to create a setting in which young researchers in topology can meet each other and share their work.

Email: youngtopologistsmeeting@gmail.com

CIRM – Centre International de Rencontres Mathématiques

Mathematical Sciences Research Institute (MSRI)

The purpose of the summer school is to introduce graduate students to key mainstream directions in the recent development of geometry, which sprang from Riemannian Geometry in an attempt to use its methods in various contexts of non-smooth geometry. This concerns recent developments in metric generalizations of the theory of nonpositively curved spaces and discretizations of methods in geometry, geometric measure theory and global analysis. The metric geometry perspective gave rise to new results and problems in Riemannian Geometry as well.

Courses and Events for Physics Students,    Analysis

Department of Mathematics of the University of Salerno

Poisson 2020 is the 12nd in a series of international conferences on Poisson geometry. It will be held in the Department of Mathematics of the University of Salerno, Fisciano (SA), and the Accademia Pontaniana, Napoli, Italy. The event comprises: - a Summer School (July 6 - 10), aimed at students in their final years, PhD students and young researchers. - an International Conference (July 13 - 17), to be attended by students and researches from around the world, including some of the leading mathematicians in the field of Poisson Geometry. Links to the previous conferences in the series can be found at the Poisson Geometry Home Page: www.lpthe.jussieu.fr/~dito/poissongeometry.

Nesin Mathematical Village

The 5th GTSS will be held at the IMBM, İstanbul Center for Mathematical Sciences which is established in the main (South) Campus of Boğaziçi University (Bosphorus). There will be about 15 mini-courses of introductory nature, related to the Geometry-Topology research subjects. In the middle of the week there is an excursion on the Bosphorus.

Differential Geometry, Complex Differential Geometry, Topology, Algebraic Geometry

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

University of Rochester, Yerevan State University and Norwegian University of Science and Technology

University of Rochester, in collaboration with the Yerevan State University and Norwegian University of Science and Technology, is organizing a CIMPA Summer School on Finite Point Configurations and Discrete Integrable Systems, to be held at the Yerevan State University, Armenia, from July 13 until July 24. The summer school will be dedicated to finite point configurations and rigidity, Erdos problems in discrete geometry and frame theory, the Falconer distance conjecture in geometric measure theory, discrete integrable systems and connections between these topics. Participants will be introduced to various open problems and possible research projects in these very active research areas.

Finite Point Configurations, Discrete Integrable Systems, Discrete Geometry

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

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.

Systems theory, Control and Automation,    Mathematical Physics

Conference on algebraic, number theoretic and topological aspects of rings, algebras and polynomials. Topics include: integer-valued polynomials, polynomial functions, multiplicative ideal theory, topological methods in ring theory, Zariski-Riemann spaces of valuation domains, factorization theory in rings and semigroups, module theory and linear algebra over rings, Dedekind, Pruefer and Krull domains and generalizations

Algebra,    Number Theory, Arithmetic

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

The University of Sydney, School of Mathematics and Statistics

This workshop at the University of Sydney will bring together experts and emerging researchers from Australia, the USA and Europe to report on recent results and explore future directions in computational and algorithmic topology and related areas. There will be a focus on problems in computational geometric topology and computational algebraic topology. This workshop aims to stimulate interaction between researchers in order to bring about new collaborations on difficult problems that cannot be tackled from one viewpoint alone.

We plan to have talks by our invited speakers in the mornings, and open problem sessions, a poster session, and plenty of time for collaboration in the afternoons.

Invited Speakers:

Herbert Edelsbrunner (Institute of Science and Technology Austria)

Brittany Fasy (Montana State University)

Gregory Henselman (Princeton University)

Feng Luo (Rutgers University)

Zuzana Patáková (Institute of Science and Technology Austria)

Jessica Purcell (Monash University)

Vanessa Robins (Australian National University)

Organizers:

Jonathan Spreer (The University of Sydney)

Stephan Tillmann (The University of Sydney)

Katharine Turner (Australian National University)

Email: jonathan.spreer@sydney.edu.au

Computational topology, Low-dimensional topology, Topological Data Analysis, Computational geometry, Algebraic topology, Algorithms

Graph Theory and Combinatorics,    Algorithms

Northwestern University, Evanston, IL

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. The workshop will be centered around mini-courses, both on classical fixed-point theory and on modern techniques such as duality theory, spectra, and trace methods in algebraic K-theory.

The intended audience for this summer school should be familiar with the material in Hatcher (except the appendices). This reflects our goal that the school be accessible to second and third year students with an interest in algebraic topology from any PhD granting institution. The school will be structured around a few mini-courses, which will run in an active-learning style.

Algebra,    Courses and Events for Physics Students

Chernivtsi National University and Lviv National University, Ukraine

The Summer School is a traditional conference for mathematicians working in diverse areas of analysis, topology, algebra and related fields. The aim of the School is to support talented students and post-graduates who are interested in fundamental mathematical research and to supply them with the newest information concerning the current status of research in these fields.

Summer School Secretariat;     Email: maslenizza.ua@gmail.com

Analysis,    Algebra

University of Saskatchewan

The Canadian Conference on Computational Geometry (CCCG) is a forum to disseminate and discuss new theoretical and applied results in discrete and computational geometry. CCCG focuses on the design of efficient algorithms, the development of software, and the study of the mathematical foundations of computational problems whose formulations involve geometric constraints. The field of computational geometry is motivated by problems from a broad range of application areas, as diverse as computer graphics and animation, computer vision, computer-aided design and manufacturing, geographic information systems, pattern recognition, wireless communications, robotics, protein folding, urban planning, graph drawing, or statistical analysis.

Applied Mathematics (in general),    Algorithms

University of Nebraska-Lincoln

This conference will focus on trisections of smooth 4-manifolds and related topics. There is some space available for contributed talks, and we have funding for participant support. The deadline to apply for support or to apply to give a talk is April 15th.

Email: zupan@unl.edu

4-manifold, trisection

Universidad de Puerto Rico

Guoliang Yu, Powell Chair in Mathematics and University Distinguished professor at Texas A&M University, will lead this series of lectures on K-theory of operator algebras and its applications to geometry and topology.

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

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

Courses and Events for Math Students and Early Career Researchers,    Number Theory, Arithmetic

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

Regensburg University, Dep. of Mathematics, SFB1085 (U. Bunke, D.C. Cisinski, G. Kings )

Homotopical and higher categorical methods have seen increasing importance in mathematics, both as foundations and as computational tools. In fact, such methods merge two apparently distinct goals: understanding geometrical forms and classifying mathematical structures. This conference aims at gathering together under this perspective geometers in a rather broad sense. It seeks to foster the applications of these higher methods in the interplay between homotopy theory, arithmetic, and algebraic geometry.

Number Theory, Arithmetic,    Algebra

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

Mathematical Sciences Research Institute (MSRI)

The use of dynamical invariants has long been a staple of geometry and topology, from rigidity theorems, to classification theorems, to the general study of lattices and of the mapping class group. More recently, random structures in topology and notions of probabilistic geometric convergence have played a critical role in testing the robustness of conjectures in the arithmetic setting. In this introductory workshop, we will bring together junior and senior researchers in order to provide a mix of introductory lectures as well as reporting on more recent progress in topics from this diverse range of subjects.

AMS, American Mathematical Society

This workshop will discuss results and new developments in Leibniz algebras and related topics. This includes and not limited to Lie algebras, homological algebra or non-commutative geometry.

Leibniz algebras, Lie algebras, Homological algebras.

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

Algebra,    Number Theory, Arithmetic

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

This workshop intends to be a first meeting point for specialists and young researchers active in non-commutative geometry, free probability, and topological recursion. In the two first areas, one often wants to compute expectation values of a large class of non-commutative observables in random ensembles of (several) matrices of size N, in the large N limit. The motivations come from the study of various models of 2d quantum gravity via random spectral triples, or from the problem of identifying of interesting factors via approximations by matrix models. Topological recursion and its generalizations provide a priori universal recipes to make and compactly organize such computations, not only for the leading order in N, but also to all orders of expansion in 1/N.in such a way that bridges to other domains where topological recursion has been applied (like enumerative geometry, tropical geometry, mirror symmetry, topological and more generally low-dimensional quantum field theories) become clear.

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

Algebra,    Graph Theory and Combinatorics

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

Inspired by the success of persistent homology, the purpose of the present workshop is to replicate this success by developing robust, statistically integrated versions of other constructions from classical algebraic topology. In particular, we are interested in persistent versions of cohomology theory, that combine the robustness of persistence with the various sophisticated algebraic structures associated with cohomology.

Mathematical forum of Montenegro and Faculty of Information Studies, Novo mesto, Slovenia

MESIGMA is a symposium that brings together researchers from several fields of mathematics and computer science. As the scientific framework for MESIGMA is widely set, we consider it to be an incentive environment for finding “shared territory” of diverse scientific disciplines.

Graph Theory and Combinatorics,    Algebra

Institute for Advanced Study in Mathematics (IASM) in Hangzhou, China, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, Canada

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.

Centre International de Rencontres Mathématiques (CIRM)

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

Symplectic geometry concerns symplectic manifolds. A key modern tool is an algebraic structure called the 'Fukaya category', which is associated to a single such object. Geometric relations between the manifolds are reflected in algebraic interactions between the categories. There has been a great deal of recent progress in understanding such relations. This workshop will bring together many of the key workers in this rapidly developing field to share ideas and set further directions of exploration.

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

Birational geometry is a classical mathematic subject dating back to the late 1800s. It aims to classify geometric shapes by looking at the majority of their points and asks "if I remove some points from shape A and some other points from shape B, do they become the same shape?". This turns out to be a surprisingly difficult and fundamental mathematical question. Perhaps more surprising is that the classification of geometric shapes from birational geometry is related to the classification of abstract mathematical gadgets called derived categories, a formal language developed by prominent mathematicians in France in the 1960s. However, the relationship between derived categories and birational geometry remains unproven.

BIRS-affiliated mathematics research centre, Casa Matemática Oaxaca (CMO)

Valuation theory grew out of integral geometry, and studies such geometric quantities as volume, surface area, and their generalizations. Spaces with curvature bounds are geometric objects which are not necessarily smooth, but that retain nevertheless some of the features of smooth spaces. For example convexity/concavity properties of the distance function can be seen as a non-smooth generalization of the smooth notion of curvature of constant sign.

Centre International de Rencontres Mathématiques (CIRM)

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

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

The possibility of using quantum mechanics to build computers that are both faster and more secure is an exciting technological leap. One of the most promising pathways to a robust architecture, referred to as topological quantum computing, has lead to fascinating research at the frontier of mathematics and physics. Properties of new, exotic states of matter can be understood - and hence implemented in practice - using tools that were developed by pure mathematicians in connection to surfaces and their curvature. This workshop is bringing together international experts to explore the intimate connections between such topological properties of quantum matter and the key resource of quantum computing: entanglement.

Centre International de Rencontres Mathématiques (CIRM)

Mathematical Sciences Research Institute (MSRI)

The study of discrete subgroups of Lie groups and the associated locally symmetric manifolds has a long and rich history, with powerful interconnections between the geometry of the locally symmetric space, topology of towers of its finite covers, and number-theoretic aspects. More recently dynamical and probabilistic techniques have been fruitfully employed to study these groups and spaces. The workshop will take stock of recent developments in these highly active fields from a variety of backgrounds.

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

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

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

CIRM – Centre International de Rencontres Mathématiques

The conference will bring together leading experts and research scholars to exchange and share their experience and research results on all aspects of mathematical physics and to promote transference of knowledge at the crossroads of mathematics and physics. There will be plenary sessions (30 to 40min), short talks and posters for student presentations. The scope of the conference will be quite broad, including in particular the following topics: polyanalytic function theory, harmonic analysis, representation theory and quantization, Clifford analysis and applications, coherent states, time-frequency analysis and wavelets, orthogonal polynomials, special functions and q-analogues, Hopf algebras and quantum groups, geometric mechanics and symmetry, exact solvable systems, spectral theory and quantum systems, topological methods. With the goal of encouraging communication and collaborative research between the participants, a feature of ICMMP2021 will be the inclusion of specific time-slots for scientific discussion.

Phone: [(212) (0) 663564850];     Email: mouayn@gmail.com

Harmonic analysis, representation theory and quantization, Clifford algebras, Clifford analysis and applications, Coherent states & wavelets, q-deformation, Hopf algebras and quantum groups, Geometric mechanics and symmetry, Orthogonal Polynomials, special functions and exact solvable systems, Spectral theory and quantum systems, Topological Methods

Mathematical Physics,    Group Theory

CIRM – Centre International de Rencontres Mathématiques

CIRM – Centre International de Rencontres Mathématiques

CIRM IHP PROGRAM

Mathematical Sciences Research Institute (MSRI)

The talks in this workshop will present a wide array of current applications of topology in neuroscience, including classification and synthesis of neuron morphologies, analysis of synaptic plasticity, algebraic analysis of the neural code, topological analysis of neural networks and their dynamics, topological decoding of neural activity, diagnosis of traumatic brain injuries, and topological biomarkers for psychiatric disease. Some of the talks will be devoted to promising new directions in algebraic topology that have been inspired by neuroscience.

CIRM – Centre International de Rencontres Mathématiques

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

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

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

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

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

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

CIRM – Centre International de Rencontres Mathématiques

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

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