Conferences and Meetings on Geometry and Topology

Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the "moving" lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

Birational Geometry and Moduli Spaces are two important areas of Algebraic Geometry that have recently witnessed a flurry of activity and substantial progress on many fundamental open questions. In this program we aim to bring together key researchers in these and related areas to highlight the recent exciting progress and to explore future avenues of research. This program will focus on the following themes: Geometry and Derived Categories, Birational Algebraic Geometry, Moduli Spaces of Stable Varieties, Geometry in Characteristic p>0, and Applications of Algebraic Geometry: Elliptic Fibrations of Calabi-Yau Varieties in Geometry, Arithmetic and the Physics of String Theory.

Fast acquisition and routine use of 3D data due to the advance of modern technology and computer power makes 3D description of the real world imminent and practical in many applications such as 3D modeling, GL2019 Imagevirtual reality, 3D camera, 3D printing and prototyping, etc. It is increasingly important and urgent for efficient processing, analysis, and intelligent use of a large variety of 3D data. The goals of this program are to (1) further advance mathematical and computational techniques for 3D modeling and shape analysis, (2) design effective problem specific approaches combining geometry and machine learning, i.e., learning geometry from geometry, (3) generalize our understandings and techniques for shape analysis to geometric data analysis in higher dimensions.

This conference is aimed at bringing together both established and junior number theorists from across the globe, and especially researchers in Function Field Arithmetic, Diophantine Geometry, and related topics, to discuss the state of the art in mathematics and to encourage further research collaborations in these areas. We will further use this opportunity to honor Professor Jing Yu, on the occasion of his retirement, for his fundamental contributions to the development of function fields over the past 4 decades.

The purpose of the lectures is to give an introduction to the hypoelliptic Laplacian and to the results which have been obtained so far by this method. The hypoelliptic Laplacian gives a universal interpolation between the Laplacian and the generator of the geodesic flow through a family of hypoelliptic operators acting on a bigger space than the original Laplacian. There are as many hypoelliptic Laplacians as there are Laplacians. To this deformation of operators corresponds an interpolation of dynamics, that interpolates between Brownian motion, with the most irregular paths possible, and the geodesics which have the most regular trajectories. Explicit geometric formulas for certain orbital integrals will appear as consequences. These give in arbitrary dimensions the analogues of the geometric formula obtained by Selberg in the case of Riemann surfaces. The lectures are given by Jean-Michel Bismut. Additionally, he will give a Colloquium talk for the general audience. Limited financial support is available: if you want to apply for the latter, please indicate this in your email; in this case, the deadline for the application is 15th of April.

Email: ksenia.fedosova@math.uni-freiburg.de

Hypoelliptic Laplacian, spectral theory, geodesic flow, Brownian motion, orbital integrals, Selberg trace formula

Analysis,    Probability and Statistics, Game Theory

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

This conference will gather around eighty specialists of variational problems and the geometry of Riemannian and Lorentzian submanifolds. It will be the occasion to listen to some of the foremost researchers on harmonic maps, minimal surfaces, constant mean curvature surfaces, the Willmore problem, biharmonic maps, knot theory (from the geometric perspective), Yang-Mills theory as well as submanifolds from the viewpoint of Riemannian or Lorentzian geometry.

Phone: [+33298017382];     Email: loubeau@univ-brest.fr

Minimal surfaces, harmonic maps, knot theory, Willmore problems, CMC surfaces

In May 1969 the groundbreaking book of Jean-Marie Souriau appeared, "Structure des Systèmes Dynamiques". We will celebrate, in 2019, the jubilee of its publication, with a conference in honour of the work of this great scientist. The subjects are : Symplectic Geometry/Mechanics, Relativity and Cosmology, Geometric Quantization, Diffeology, and anything related to these domains.

The aim of the conference is to bring together researchers from algebraic geometry, singularity theory and low dimensional topology in order to present and discuss the new results and perspectives for recent and old problems in the fusion of these fields. At the same time, this would give a good opportunity to celebrate the scientific achievements of András Némethi in honor of his 60th birthday.

Email: nemethi60@renyi.mta.hu

algebraic geometry, singularity theory, low dimensional topology, geometry and topology of singularities

This conference will celebrate the 40th anniversary of the solution (1978) of the Calabi conjecture and the 70th birthday of Professor Shing-Tung Yau. The main theme will be the impact that Calabi-Yau geometry has had in the last 40 years in many fields of mathematics including differential, complex and algebraic geometry, geometric analysis and mathematical physics.

The fifth meeting of the Temple University Graduate Student Conference in Algebra, Geometry, & Topology will take place in Philadelphia, PA from June 1-2, 2019. Past conferences have had over 100 graduate students in attendance. Our goal is to expose graduate students to cutting edge research highlighting the beautiful and fruitful interactions between algebra, geometry, and topology. Additionally, this conference provides a forum for more senior students in these areas to both present their work and form research connections both within and across fields.

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

Casa Matemática Oaxaca (CMO)

This conference is a next in a row of previous meetings on Geometry and Mathematical Physics which took place in Bulgaria - Zlatograd (1995) and annual conferences under the same title in Varna (1998-2018). The overall aim is to bring together experts in Classical and Modern Differential Geometry, Complex Analysis, Mathematical Physics and related fields, to assess recent developments in these areas and to stimulate new investigations and the international collaboration.

Calculus, Differential Equations and Integration,    Mathematical Physics

BIGWIII is the third edition of the annual summer workshop on themes in geometry. The theme of this workshop will be "Gauge Theory with a View to Higher Dimensions". The goal is to bring together a group of approximately 25 graduate students to work on a specific topic under the guidance of three senior mathematicians. The majority of the talks will be given by the participants, and there will be time in the afternoons and evenings for further discussions and more informal sessions. The character of the workshop is expository in nature, starting with the basic ideas and leading to a survey of the most recent developments in the field; no prior knowledge of the topic will be assumed. Since both the participants and the mentors will be living in the same building, we hope to create an informal, yet mathematically intensive, atmosphere.

Email: benjamin.aslan.17@ucl.ac.uk

Gauge Theory, Special Holonomy, Instantons, Monopoles, Seiberg-Witten Theory

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

acific Institute for the Mathematical Sciences (PIMS)

The last 10 years have brought a burst of activity at the intersection of algebraic topology, number theory and algebraic geometry. This has led to a wealth of: New theorems, such as Ellenberg–Venkatesh–Westerland’s breakthrough results on the Cohen–Lenstra heuristics for function fields; New sources of heuristics in topology, such as Vakil–Wood’s predictions from the Grothendieck ring, or the notion and coincidences of homological densities as in Farb– Wolfson–Wood; Refinements of classical enumerative theorems using modern topological tools, such as Kass–Wickelgren’s arithmetic count of the 27 lines on a cubic surface; and A renewed focus on unstable homology, as in Galatius–Kupers–Randal-Williams and Miller–Wilson. We believe that these results are just the beginning of the emerging area of arithmetic topology.

Centre International de Rencontres Mathématiques (CIRM)

Our goal is to organize a conference devoted to interactions between pure mathematics, in particular arithmetic and algebraic geometry, and the information theory, especially cryptography and coding theory. This conference will be the seventeenth edition, with the first one held in 1987, that traditionally reunites some of the best specialists in the domains of arithmetic, geometry and information theory. The corresponding international community is very active with all of the concerned domains changing rapidly over time.

The conference is thus an important occasion for young mathematicians (graduate students and post-docs) to interact with established researchers in order to exchange new ideas.

Casa Matemática Oaxaca (CMO)

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

The MRC summer conferences are the centerpiece of the AMS Mathematics Research Communities program, which provides early-career mathematicians and other mathematical scientists (2 years pre-PhD to five years post-PhD) opportunities for collaborative research with leaders and peers in their area and professional development and networking in the wider community of researchers. This conference is the third of three in 2019. From the organizers: "The focus of this MRC will be on problems in arithmetic geometry over fields of positive characteristic p that are amenable to an explicit approach, including the construction of examples, as well as computational exploration. ... To reflect the inherent interdisciplinary nature of arithmetic geometry, we invite early-career mathematicians with a wide range of backgrounds in number theory, algebraic geometry, and other subjects that intersect these fruitfully, such as dynamics and commutative algebra."

American Mathematical Society

The conference is dedicated to the 100th birthday anniversary of an outstanding mathematician A.V. Pogorelov. He is famous for proving rigidity of general (non-smooth) closed convex surfaces in spaces of constant curvature and rigidity of regular surfaces in Riemannian spaces; for solutions of Weil's, Minkowski's, and Hilbert's fourth problem. A.V. Pogorelov created a theory of elliptic Monge-Ampere equations and a non-linear theory of thin elastic shells. The conference topics include: geometry of submanifolds, global differential and Riemannian geometries, geometric PDEs and analysis. The Program Committee: M. Gromov (IHES, France), S.P. Novikov (MSU, Russia; University of Maryland, USA), Yu.G. Reshetnyak (Sobolev Institute of Mathematics, Russia), S.-T. Yau (Harvard University, USA), Yu.A. Aminov (ILTPE, Ukraine), A.A. Borisenko (ILTPE, Ukraine), E.Ya. Khruslov (ILTPE, Ukraine), V.A. Marchenko (ILTPE, Ukraine), L.A. Pastur (ILTPE, Ukraine).

Analysis,    Calculus, Differential Equations and Integration

The [bagel19] program is divided into two events. The first is a week-long summer school for graduate students and early career researchers that emphasizes both the topological study of knots and their applications to other disciplines. This is immediately followed by a workshop that builds on the topics covered in the prior week and features speakers from a broad set of disciplines with connection to knot theory.

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

This workshop will revolve around loop braid groups and related braided and knotted structures, throughout different areas of geometric topology, with an eye on applications in physics, namely modeling topological phases of matter.

Email: c.damiani@leeds.ac.uk

The Fields Institute

Symplectic topology is a rapidly developing branch of geometry that has seen phenomenal growth in the last twenty years. This two weeks long summer school, organized in the setting of the “Séminaire de Mathématiques Supérieures”, intends to survey some of the key directions of development in the subject today thus covering: advances in homological mirror symmetry; applications to hamiltonian dynamics; persistent homology phenomena; implications of flexibility and the dichotomy flexibility/rigidity; legendrian contact homology; embedded contact homology and four-dimensional holomorphic techniques and others. With the collaboration of many of the top researchers in the field today, the school intends to serve as an introduction and guideline to students and young researchers who are interested in accessing this diverse subject.

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

Saarland University, Saarbrücken

The International Symposium on Mathematical Morphology (ISMM) has established itself as the main scientific event in the field. We will be delighted to host the 14th International Symposium on Mathematical Morphology (ISMM 2019) at the Saarland University in Saarbrücken, Germany. The goal of the conference is to bring together researchers, students, and practitioners of mathematical morphology and related methodologies, to present and discuss new advances in the field, be they purely theoretical developments or novel applications.

The Fields Institute

This workshop will bring together researchers from the worlds of low- and high-dimensional manifold topology, especially those with interests in the study of 4-manifolds.

The Fields Institute

This meeting will focus on current research that exists because of the profound influence of Prof. Buchweitz (who passed away on November 11, 2017). His work has sparked new ideas in commutative and noncommutative algebra, algebraic geometry, representation theory, singularities, and deformation theory. Moreover, it should also serve to further develop the bridges that have already been built between these areas, in particular through Prof. Buchweitz's work.

In 2016, the first edition of the Alterman Conference was held at the Transilvania University of Brasov (Romania), while the 2017 Alterman Summer School was held at the University of Architecture, Civil Engineering and Geodesy in Sofia (Bulgaria), and the third edition of the Alterman conference was held at Politecnico di Milano University, Italy. The 4th Alterman Conference will take place at Manipal Institute of Technology (MIT), Manipal Academy of Higher Education (MAHE) (Deemed to be University) organized by the Department of Mathematics, MIT, Manipal. The conference is partially sponsored by Eric Alterman.

Phone: [+919686913373];     Email: pkharikrishnans@gmail.com , vadiraja.bhatta@manipal.edu , babushrisrinivas@gmail.com , kunchamsyamprasad@gmail.com

Computational & Geometric Algebra, Kahler Calculus, Clifford Algebra, Operator Algebra & Non-Linear algebraic Structures.

Algebra,    Quantum Mechanics and Quantum Information Theory

The conference is to serve as a meeting point for people working in areas of geometry that are relatively close to each other. Topics to be covered include packing and covering questions, Helly-type problems, topological methods in geometry, rigidity, finite dimensional normed spaces, Banach-Mazur distance and other areas of discrete geometry brought by the participants.

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)

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

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

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

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

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)

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.

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 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

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)

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)

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