Meetings/Workshops on Geometry and Topology in the United States (USA)
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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.
Arizona Winter School: Topology and Arithmetic
02 Mar 2019 - 06 Mar 2019 • University of Arizona, Tucson, AZ, United States
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.
AIM Workshop: Symmetry and convexity in geometric inequalities
20 May 2019 - 24 May 2019 • American Institute of Mathematics, San Jose, United States
Random and arithmetic structures in topology Summer Graduate School
10 Jun 2019 - 21 Jun 2019 • Mathematical Sciences Research Institute, Berkeley, United States
Floer Homotopy Theory and Low-Dimensional Topology
05 Aug 2019 - 07 Aug 2019 • Eugene, Oregon, United States
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,
Topological Quantum Matter: From Fantasy to Reality
30 Sep 2019 - 03 Oct 2019 • UC Santa Barbara, United States
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
Spintronics Meets Topology in Quantum Materials
12 Nov 2019 - 15 Nov 2019 • UC Santa Barbara, United States
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.
Geometry from the Quantum
13 Jan 2020 - 17 Jan 2020 • UC Santa Barbara, United States
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
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Last updated: 28 August 2018