Meetings/Workshops on Geometry and Topology in the United States (USA)

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1
Foam Evaluation
05 Nov 2021 - 07 Nov 2021 • ICERM, Providence, United States
Abstract:
The purpose of this workshop is to bring together mathematicians interested in foams and their use in low-dimensional topology, representation theory, categorification, mathematical physics, and combinatorics. The workshop will focus on the foam evaluation formula and its applications. More concretely, we aim to: (a) Give a more intrinsic definition of the foam evaluation, in order, for instance, to find similar formulas for the other Lie types; (b) Understand the interplay between foams and matrix factorizations and further use foams for a unified and comprehensive approach to Khovanov-Rozansky link homology theories; (c) Compare combinatorial foam evaluation with the geometric structures and invariants coming from gauge theory and symplectic geometry; (d) Study potential applications of the foamy definition of link homology theories. This workshop is fully funded by a Simons Foundation Targeted Grant to Institutes.
Event listing ID:
1423061
Related subject(s):
2
The Analysis and Geometry of Random Spaces
18 Jan 2022 - 27 May 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
This program is devoted to the investigation of universal analytic and geometric objects that arise from natural probabilistic constructions, often motivated by models in mathematical physics. Prominent examples for recent developments are the Schramm-Loewner evolution, the continuum random tree, Bernoulli percolation on the integers, random surfaces produced by Liouville Quantum Gravity, and Jordan curves and dendrites obtained from random conformal weldings and laminations. The lack of regularity of these random structures often results in a failure of classical methods of analysis. One goal of this program is to enrich the analytic toolbox to better handle these rough structures.
Event listing ID:
1423211
3
Connections Workshop: The Analysis and Geometry of Random Spaces
20 Jan 2022 - 21 Jan 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
The Connections Workshop will feature talks on a variety of topics related to the analysis and geometry of random spaces. It will preview the research themes of the semester program and will highlight the work of women in the field. There will be a panel discussion as well as other social events. This workshop is directly prior to the Introductory Workshop, and participants are encouraged to participate in both workshops. This workshop is open to all mathematicians.
Event listing ID:
1423309
4
Introductory Workshop: The Analysis and Geometry of Random Spaces
24 Jan 2022 - 28 Jan 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Abstract:
This workshop will introduce some of the major themes in probability and geometric analysis that will be relevant for the semester-long program. A series of short mini-courses will give participants the opportunity to learn about important subjects such as the Schramm-Loewner evolution (SLE) or the Gaussian free field (GFF), for example. The workshop will also include "visionary" lectures by prominent researchers who will outline fruitful directions for future research.
Event listing ID:
1423285
5
Braids
01 Feb 2022 - 06 May 2022 • Providence, RI, United States
Organizer:
ICERM
Abstract:
Braid groups were introduced by Emil Artin almost a century ago. Since then, braid groups, mapping class groups, and their generalizations have come to occupy a significant place in parts of both pure and applied mathematics. In the last 15 years, fields with an interest in braids have independently undergone rapid development; these fields include representation theory, low-dimensional topology, complex and symplectic geometry, and geometric group theory. Braid and mapping class groups are prominent players in current mathematics not only because these groups are rich objects of study in their own right, but also because they provide organizing structures for a variety of different areas. For example, in modern representation theory, important equivalences of categories are organized into 2-representations of braid groups, and these same 2-representations appear prominently in parts of geometry and mathematical physics concerned with mirror dualities; in low-dimensional topology, manifolds are presented and related to each other via braids and mapping classes. Computational applications and questions about braid groups have also emerged in disparate mathematical contexts; in some cases, these coalesce around the same computational problem. For example, developing fast machine-based calculations of link homology invariants is a goal shared by representation theorists, low-dimensional topologists, symplectic and algebraic geometers, and string theorists. The proposed semester program aims to bring together researchers working in diverse areas through the common thread of their interaction with braid and mapping class groups. The overarching goals of the program are to establish and clarify the key questions driving each field, and to improve each group’s understanding of the tools, techniques, and perspectives of the others.
Contact:
Phone: [4018635030];     Email: info@icerm.brown.edu
Event listing ID:
1448702
6
Workshop — Hot Topics: Regularity Theory for Minimal Surfaces and Mean Curvature Flow
21 Mar 2022 - 25 Mar 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Organizer:
Mathematical Sciences Research Institute (MRSI)
Abstract:
This workshop will explore connections between the regularity theory of minimal surfaces and of mean curvature flow. Recent breakthroughs have improved our understanding of singularity formation in both settings but the current research trends are becoming increasingly disparate. Experts from both areas will present their research and there will be ample free time to establish connections between the topics.
Event listing ID:
1443884
Related subject(s):
7
Workshop — The Analysis and Geometry of Random Spaces
28 Mar 2022 - 02 Apr 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Organizer:
Mathematical Sciences Research Institute (MRSI)
Abstract:
The aim of this workshop is to bring together researchers whose work contributes to the study of random structures that exhibit some form of conformal self-similarity. Notable examples include the Schramm-Loewner evolution SLE, the Brownian map and random trees, Liouville Quantum Gravity, and Conformal Field Theory. A particular focus will be the discussion of analytic tools needed to address the challenges arising from the often rough underlying sets and spaces.
Event listing ID:
1443850
Related subject(s):
8
Braids in Low-Dimensional Topology
25 Apr 2022 - 29 Apr 2022 • Providence, RI, United States
Organizer:
ICERM
Abstract:
Braids are deeply entwined with low-dimensional topology. Closed braids are knots and links, while viewing braid groups as surface mapping class groups connects the topic to fundamental constructions of three- and four-manifolds. The question of how properties of braids or mapping classes reflect the associated manifolds arises in Dehn surgery, link invariants, and contact and symplectic geometry. The workshop will highlight recent advances in these and other areas of low-dimensional topology where braids and mapping classes play a significant role. The workshop will also explore related algorithms, with an eye towards their (efficient) implementation.
Contact:
Phone: [401 863 5030];     Email: info@icerm.brown.edu
Event listing ID:
1417388
9
Geometry, Arithmetic, and Groups
20 Jun 2022 - 24 Jun 2022 • University of Texas, Austin, United States
Abstract:
A conference on the interactions between geometry, arithmetic, and groups will be held at the University of Texas, Austin, June 20-24, 2022, celebrating the accomplishments and influences of Alan W. Reid.
Event listing ID:
1423392
Related subject(s):
10
CCAAGS-22 — Combinatorial, Computational, and Applied Algebraic Geometry
27 Jun 2022 - 01 Jul 2022 • University of Washington, Seattle, WA, United States
Abstract:
CCAAGS-22 aims to bring together researchers working in the creative mixture of combinatorial and computational ideas in applied algebraic geometry. Part of this event will celebrate Bernd Sturmfels and his contributions to the field.
Event listing ID:
1445853
Related subject(s):
11
Summer Graduate School — Topological Methods for the Discrete Mathematician
25 Jul 2022 - 06 Aug 2022 • St. Mary's College, Moraga, California , United States
Organizer:
Mathematical Sciences Research Institute (MRSI)
Abstract:
The summer school will lead participants from appealing, simple-to-state problems at confluence of combinatorics, geometry, and topology to sophisticated topological methods that are required for their resolution. In recent years topological methods have found numerous novel applications in mathematics and beyond, such as in data science, machine learning, economics, the social sciences, and biology. The problems we will discuss are particularly well-suited to rapidly put students in a position to approach related research questions.
Event listing ID:
1444014
12
Summer Graduate School — Tropical Geometry
01 Aug 2022 - 13 Aug 2022 • St. Mary's College, Moraga, California , United States
Organizer:
Mathematical Sciences Research Institute (MRSI)
Abstract:
The goal of this summer school is to give students crash courses in tropical and logarithmic geometry, with a particular focus on the applications in enumerative geometry and moduli theory.
Event listing ID:
1444056
13
Workshop — Floer homotopical methods in low dimensional and symplectic topology
14 Nov 2022 - 19 Nov 2022 • Mathematical Sciences Research Institute, Berkeley, United States
Organizer:
Mathematical Sciences Research Institute (MRSI)
Abstract:
The workshop will focus on the interaction between homotopy theory and symplectic topology and low dimensional topology that is mediated by Floer theory. Among the topics covered are foundational questions, applications to concrete geometric questions, and the relationship with finite dimensional approaches.
Event listing ID:
1444094
14
Topology, Symmetry and Interactions in Crystals: Emerging Concepts and Unifying Themes
03 Apr 2023 - 06 Apr 2023 • Santa Barbara, United States
Organizer:
UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)
Abstract:
Recent developments in several disparate areas make it a pressing and opportune time to confront the interplay between topology, symmetry and interactions. This conference will catalyze the discussion on this broad topic by highlighting a burst of recent advancements, both theoretical and experimental, along this direction. An important goal is to enhance cross-talk between the weakly and strongly correlated communities interested in topology that have not yet had adequate interactions with each other. The conference will bring participants up to speed in this rapidly growing field and sharpen the central questions that will be discussed in the remainder of the associated program.
Event listing ID:
1448605
15
Structure Design and Emerging Phenomena in Nanoparticle Assemblies: What’s next?
15 May 2023 - 18 May 2023 • Santa Barbara, United States
Organizer:
UC Santa Barbara, Kavli Institute for Theoretical Physics (KITP)
Abstract:
Nanoparticle assembly is a hierarchical approach to functional materials. It operates at the mesoscale where elementary building blocks still feel their atomic nature and can profit from quantum function but at the same time are flexible enough in shape and interaction to permit high structural complexity. The realization of nanoparticle assemblies requires the convergence of and communication among several scientific disciplines: chemistry for synthesis, materials science for characterization, chemical engineering for up-scaling, and physics for a theoretical description and quantum phenomena. The goal of the conference will be to provide a coherent view of the current state of the field, bringing together researchers with different expertise and background. It should catalyze the development of new methods, both theoretical, computational and experimental, and define the basic science in this field. A focus will be recent developments but also a look forward: What should be the focus for the next decade and beyond? What are they key physics concepts that need to be developed and from where will the new game-changing technological advances emerge?
Event listing ID:
1448604


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Last updated: 14 October 2021