Meetings/Workshops on Geometry and Topology in the United States (USA)
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Enumerative Geometry Beyond Numbers
16 Jan 2018 - 25 May 2018 • Mathematical Sciences Research Institute, Berkeley, United States
Traditional enumerative geometry asks certain questions to which the expected answer is a number: for instance, the number of lines incident with two points in the plane (1, Euclid), or the number of twisted cubic curves on a quintic threefold (317 206 375). It has however been recognized for some time that the numerics is often just the tip of the iceberg: a deeper exploration reveals interesting geometric, topological, representation-, or knot-theoretic structures. This semester-long program will be devoted to these hidden structures behind enumerative invariants, concentrating on the core fields where these questions start: algebraic and symplectic geometry.
Introductory Workshop: Enumerative Geometry Beyond Numbers
22 Jan 2018 - 26 Jan 2018 • Mathematical Sciences Research Institute, Berkeley, United States
This workshop will consist of expository mini-courses and lectures introducing various aspects of modern enumerative geometry, among which: enumeration via intersection theory on moduli spaces of curves or sheaves, including Gromov-Witten and Donaldson-Thomas invariants; motivic and K-theoretic refinement of these invariants; and categorical invariants (derived categories of coherent sheaves, Fukaya categories).
Twenty-fifth Southern California Geometric Analysis Seminar
27 Jan 2018 - 28 Jan 2018 • University of California, United States
Speakers: Shouhei Honda (Tohoku); Vladimir Markovic (Caltech), Chikako Mese (Johns Hopkins), Tristan Rivi?re (ETH Zurich), Song Sun (Stony Brook), Peter Topping (Warwick), Shing-Tung Yau (Harvard). This annual conference series is supported by funds from the National Science Foundation. Some travel support is available. All interested participants are strongly encouraged to register via the online registration form and indicate request for financial support if needed.
Structures in Enumerative Geometry
19 Mar 2018 - 23 Mar 2018 • Mathematical Sciences Research Institute, Berkeley, United States
The purpose of the workshop is to bring together specialists working on understanding the many-faceted mathematical structures underlying problems in enumerative geometry. Topics represented at the workshop will include geometric representation theory, supersymmetric gauge theory, string theory, knot theory, and derived geometry, all of which have had a profound effect on the development of modern enumerative geometry.
Algebraic geometry and its broader implications
23 Mar 2018 - 25 Mar 2018 • Chicago, IL, United States
Algebraic geometry and its broader implications : a celebration of Robin Hartshorne's 80th and the book's 40th birthday, at the University of Illinois at Chicago.
GSTGC — Graduate Student Topology and Geometry Conference
07 Apr 2018 - 08 Apr 2018 • Chicago, United States
A yearly meeting for graduate students in mathematics interested in geometry and topology. The goal of this event is to encourage emerging and established mathematicians to share and exchange active research ideas in their fields.
Algebraic topology, differential geometry, analytic geometry, geometric topology, group theory
ICERM Semester Workshop: Computation and Optimization of Energy, Packing, and Covering
09 Apr 2018 - 13 Apr 2018 • Providence, RI, United States
The packing and covering of equal geometric shapes, such as spheres or convex polyhedra, are classical geometric optimization problems. They have a long mathematical tradition and were for instance part of Hilbert's famous twenty-three problems for the 20th century. Nevertheless, seemingly simple packing and covering problems are still extremely hard to solve and generally, far from a solution. Likewise, minimal energy problems for pair potentials, of which best-packing is a special case, have many such unresolved questions. However, in recent years several new developments with computer assisted approaches have led to previously unexpected breakthrough results. These involve massive computer searches and techniques from numerical optimization, as well as the creation and application of new optimization techniques, such as specific semi-definite programming bounds. New techniques for computer assisted certified proofs allow one to obtain results that would otherwise have been difficult, if not impossible, to check.
Fifty-fourth Cornell Topology Festival
11 May 2018 - 13 May 2018 • Cornell University, Ithaca, United States
The program will feature a dozen one-hour talks, including two introductory workshop talks which will focus on interactions between representation theory and topology.
ICERM Topical Workshop: Birational Geometry and Arithmetic
14 May 2018 - 18 May 2018 • Providence, RI, United States
Recent developments in the minimal model program in positive characteristic and birational geometry have found purchase within Arithmetic Geometry, e.g., around questions of exceptional sets involved in Manin's conjecture on points of bounded height. In turn, arithmetic perspectives afforded by Manin's conjecture are starting to shed light on the geometry of spaces of rational curves. Our goal in this workshop is to bring together two camps of geometers (birational and arithmetic) who have had few opportunities to interact on a large scale. The points of contact so far are amenable to explicit computations, e.g., determination of presentations of Cox rings for Fano varieties, finite field method applications to stable rationality problems, algorithms to compute Peyre's constant in Manin's conjecture, point counts on spaces of rational curves, and these computational problems will form an important component of the workshop, which will be complemented with theoretical developments.
CBMS/NSF Conference on Additive Combinatorics from a Geometric Viewpoint
21 May 2018 - 25 May 2018 • University of South Carolina, Columbia, United States
Dr. Jozsef Solymosi (University of British Columbia) will give 10 lectures on Additive Combinatorics from a Geometric Viewpoint, May 21-25, 2018, at the University of South Carolina. This lecture series will be complemented by four one-hour lectures by G. Karolyi, G. Petridis, O. Raz, and J. Zahl. This program is designed for graduate students and early-career researchers. As seating is limited, prospective participants not affiliated with the University of South Carolina have to submit an application before January 31, 2018 at mathprograms.org/db/programs/622 Further information will be available at the conference webpage at imi.cas.sc.edu/events/nsf-cbms/
Crossing the Walls in Enumerative Geometry
21 May 2018 - 01 Jun 2018 • Snowbird, UT, United States
Crossing the Walls in Enumerative Geometry .
Representation Theory, Geometry, and Quantization: Bertram Kostant The Mathematical Legacy of Bertram Kostant
28 May 2018 - 01 Jun 2018 • Massachusetts Institute of Technology, United States
The conference will review recent developments in representation theory and quantization, as well as their interactions with geometry. It is dedicated to the memory of Bertram Kostant (1928?2017).
Variational and Topological Methods: Theory, Applications, Numerical Simulations, and Open Problems
05 Jun 2018 - 08 Jun 2018 • Northern Arizona University, Flagstaff, United States
This conference aims to establish a balance between analysis, applications, and numerical methods, in an environment where established international experts exchange ideas with graduate students and new PhDs. Talks will cover a range of topics, including background material, surveys of recent results, and relevant techniques. Participants are encouraged to state open problems and summarize techniques which might be used to investigate such problems. The previous three conferences were held at the same location in June 2002, May 2007, and June 2012.
Number Theoretic Methods in Hyperbolic Geometry
10 Jun 2018 - 16 Jun 2018 • University of Rhode Island, Providence RI, United States
The primary focus during the workshop will be to introduce the participants to problems at the interface of geometry and number theory that are currently attracting significant interest, and provide them with the tools necessary to make progress on some open questions. The number theoretic techniques that we will use to address these problems make use of quaternion algebras over number fields, Mahler measures of algebraic integers, and classical results from multiplicative number theory. The ultimate goal of this workshop is to start a dialogue between young mathematicians from different backgrounds that will lead to new and long-lasting collaborations between fields that have a great deal to say to one another. No background in either subject is expected.
Laplace eigenvalue spectra and geodesic length spectra of hyperbolic 2- and 3-manifolds, growth of the systole of a hyperbolic manifold, the ‘realization problem’ for trace fields of hyperbolic 3-manifolds
ATDD '18 — Algebraic Topology in Data and Dynamics
09 Jul 2018 - 13 Jul 2018 • Montana State University, Bozeman, United States
The main goal of the conference is to celebrate Konstantin Mischaikow's sixtieth birthday by highlighting the interface between applied algebraic topology and the analysis of complicated dynamical systems. This conference will provide a platform for exchanging ideas across topology and dynamics, with a focus on applications of algebraic topology to the analysis of data arising from complicated dynamical systems.
Witt Vectors, Deformations, and Absolute Geometry
16 Jul 2018 - 21 Jul 2018 • University of Vermont, Burlington, United States
This is a conference about Witt vectors, deformations, and absolute geometry.
Thirty-third Summer Conference on Topology and its Applications
17 Jul 2018 - 20 Jul 2018 • Western Kentucky University, Bowling Green, United States
Special sessions: Set-Theoretic Topology, Topology in Analysis and Topological Algebras (dedicated to W. W. Comfort), Topological Methods in Geometric Group Theory, Dynamical Systems and Continuum Theory, Asymmetric Topology, Applications of Knot Theory to Physical Sciences, The Interplay of Topology and Materials Properties. J. Michael Kosterlitz, recipient of the 2016 Nobel Prize in Physics "for theoretical discoveries of topological phase transitions and topological phases of matter", will give a plenary address.
Summer Graduate School: From Symplectic Geometry to Chaos
23 Jul 2018 - 03 Aug 2018 • Mathematical Sciences Research Institute, Berkeley, United States
The purpose of the summer school is to introduce graduate students to state-of-the-art methods and results in Hamiltonian systems and symplectic geometry. We focus on recent developments on the study of chaotic motion in Hamiltonian systems and its applications to models in Celestial Mechanics.
AIM Workshop: Nonlinear PDEs in real and complex geometry
13 Aug 2018 - 17 Aug 2018 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to the study of nonlinear PDEs in real and complex geometry.
AIM Workshop: Discrete Geometry and Automorphic Forms
24 Sep 2018 - 28 Sep 2018 • American Institute of Mathematics, San Jose, United States
This workshop, sponsored by AIM and the NSF, will be devoted to exploring the consequences of Viazovska's recent solution of the sphere packing problem in eight dimensions, in which she developed new connections with automorphic forms.
Semester Program Workshop: Real algebraic geometry and optimization
15 Oct 2018 - 19 Oct 2018 • ICERM/ Brown University, Providence, Rhode Island, United States
This workshop will focus on techniques and structures in real algebraic geometry and optimization, including computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization, and applications of these tools to problems in computer vision. Real algebraic geometry provides powerful tools to analyze the behavior of optimization problems, the geometry of feasible sets, and to develop new relaxations for hard non-convex problems. On the other hand, numerical solvers for semidefinite programs have led to new fast algorithms in real algebraic geometry. Algebraic methods over the real numbers are essential for many real-world applications. This workshop aims to explore the cutting edge of techniques in real algebraic geometry and convex optimization as well as applications of these tools to problems in computer vision and other information sciences.
real algebraic geometry and optimization, computational tools for semi-algebraic sets, semidefinite programming techniques for polynomial optimization
The Rough High-Dimensional Landscape Problem
07 Jan 2019 - 01 Mar 2019 • Santa Barbara, United States
Engages computer scientists, probabilists and mathematicians with statistical physicists and glass and disordered system researchers and interdisciplinary scientists, to unify new concepts and methods dealing with rough high-dimensional landscapes.
Derived Algebraic Geometry
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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
22 Jan 2019 - 24 May 2019 • Mathematical Sciences Research Institute, Berkeley, United States
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.
Introductory Workshop: Derived Algebraic Geometry and Birational Geometry and Moduli Spaces
31 Jan 2019 - 08 Feb 2019 • Mathematical Sciences Research Institute, Berkeley, United States
The workshop will survey several areas of algebraic geometry, providing an introduction to the two main programs hosted by MSRI in Spring 2019. It will consist of seven expository mini-courses and seven separate lectures, each given by top experts in the field. The focus of the workshop will be the recent progress in derived algebraic geometry, birational geometry, and moduli spaces. The lectures will be aimed at a wide audience including advanced graduate students and postdocs with a background in algebraic geometry.
Geometry and Learning from Data in 3D and Beyond
11 Mar 2019 - 14 Jun 2019 • Institute for Pure and Applied Mathematics (IPAM),, United States
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.
Derived Algebraic Geometry and its Applications
25 Mar 2019 - 29 Mar 2019 • Mathematical Sciences Research Institute, Berkeley, United States
This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.
Illustrating Mathematics (Semester Program)
04 Sep 2019 - 06 Dec 2019 • ICERM/ Brown University, Providence, Rhode Island, United States
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,
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Last updated: 12 December 2017