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Workshop — Lie Groups, Singular Spaces, and Higher Structures
09. Jan 2023 - 13. Jan 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
The purpose of this conference is to create a discussion between experts that work on a number of such approaches to singular spaces as well as on the broader themes that lead to these structures: Hamiltonian group actions, completely integrable systems, and geometric quantization.
Eintrags-ID:
1494435
Verwandte Fachgebiete:
2
BIRS Workshop — Arithmetic Aspects of Deformation Theory
15. Jan 2023 - 20. Jan 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
One focus of modern number theory is to study symmetries of numbers that are roots of polynomial equations. Collections of such symmetries are called Galois groups, and they often encode interesting arithmetical information. The theory of Galois representations provides a way to understand these Galois groups and in particular, how they interact with other areas of mathematics. This workshop will investigate how these Galois representations can be put together into families, and search for new arithmetic applications of these families.
Eintrags-ID:
1498879
Verwandte Fachgebiete:
3
Workshop on the Geometry and Dynamics of Groups of Transformations
16. Jan 2023 - 20. Jan 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
This workshop will further explore interactions between set theory, Ramsey theory, and the geometry and dynamics of Polish groups. An emphasis will be placed on the large scale geometry and dynamics of homeomorphism groups, mapping class groups of spaces of infinite type, and of automorphism groups of countable structures. It will also include work on automatic continuity in the context of transformation groups.
Eintrags-ID:
1461141
Verwandte Fachgebiete:
4
Measured group theory
06. Mär 2023 - 17. Mär 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
Measured group theory looks at groups from a probabilistic perspective, by studying their actions on probability spaces up to orbit equivalence. It turns out that the orbit equivalence relations of these actions can remember information about the group, which has yielded classification and rigidity results, as well as new invariants such as cost, |^2-Betti numbers, and ergodic dimension. Initiated by Gromov and Zimmer, the subject has become a very fruitful area of research over the last 25 years. One reason for this is that to study the orbit equivalence relation of an action, one tries to measurably equip the orbits with various combinatorial and geometric structures (graphs, trees, CW-complexes) and investigate their characteristics (colorings, matchings, ends, |^2-Betti numbers), which often requires machinery from the corresponding subjects, and also contributes back to these subjects with new results. This two-way traffic has established new connections between Measured Group Theory and various different areas, including ergodic theory, descriptive set theory, probability theory, combinatorics, geometric group theory, Lie groups, and von Neumann algebras.
Eintrags-ID:
1482363
Verwandte Fachgebiete:
5
Mini-School — Huge groups
03. Apr 2023 - 06. Apr 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
This mini-school focuses on “huge” groups, such as the Cremona group and its subgroups, the homeomorphism group of a surface, the mapping class group of an infinite-type surface, a general Artin group. They can be studied through non-proper actions on nonpositively or negatively curved combinatorial spaces.
Eintrags-ID:
1482373
6
Geometry of subgroups
15. Mai 2023 - 26. Mai 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
Understanding the geometry of the finitely generated subgroups of a group informs our understanding of that group significantly. For example, some hyperbolic groups enjoy the property that every finitely generated subgroup is quasi-convex. Groups which are incoherent and groups which are algebraically fibered do not have this property. This conference aims to explore some of the many directions in this field, including quasi-convexity in other contexts.
Eintrags-ID:
1482383
Verwandte Fachgebiete:
7
BIRS Workshop — Joint Spectra and related Topics in Complex Dynamics and Representation Theory
21. Mai 2023 - 26. Mai 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
Mathematics has a wide range of different disciplines, from algebra to geometry and from analysis to topology, etc. Some discoveries, however, are able to link several disciplines together and open a field of interplay. Two of such recent discoveries are self-similar group representations and projective spectrum of linear operators. The goal of this workshop is bring together scholars in spectral theory, representation theory, complex dynamics and other related fields to exchange and examine some recent discoveries on self-similarity and projective spectrum.
Eintrags-ID:
1499023
Verwandte Fachgebiete:
8
3-manifold groups
05. Jun 2023 - 16. Jun 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
This workshop focuses on several themes related to the fundamental groups of 3-manifolds. The themes include: the theory character varieties, Thurston norm polytopes and fibrations, orderability, profinite rigidity, and variations on the Cannon conjecture. The first week of the workshop will feature mini-courses by Ian Biringer (Boston College), Michelle Chu (Minnesota), Nathan Dunfield (Illinois-Urbana), and Daniel Groves (Illinois-Chicago). The second week will be devoted to research talks.
Eintrags-ID:
1482360
Verwandte Fachgebiete:
9
Cubes and combinatorial non-positive curvature
19. Jun 2023 - 30. Jun 2023 • Montréal, Kanada
Veranstalter:
CRM / Université de Montréal
Zusammenfassung:
The mini-courses and research talks will address several themes, including: nonpositively-curved cube complexes, median spaces, (coarsely) Helly spaces and groups, and various combinatorial notions of nonpositive curvature. The first week of the workshop involves mini-courses by Elia Fioravanti (MPI Bonn), Thomas Haettel (Université de Montpellier), Nima Hoda (ENS Paris), Nir Lazarovich (Technion). The second week will be devoted to research talks.
Eintrags-ID:
1482436
10
Workshop — Operator Algebras and Applications: Groups and Group Actions
02. Okt 2023 - 06. Okt 2023 • The Fields Institute, Toronto, Ontario, Kanada
Veranstalter:
The Fields Institute
Zusammenfassung:
Scheduled as part of Thematic Program on Operator Algebras and Applications
Eintrags-ID:
1494506
Verwandte Fachgebiete:
11
BIRS Workshop — Motives and Invariants: Theory and Applications to Algebraic Groups and their Torsors
08. Okt 2023 - 13. Okt 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
In this workshop, we want to bring together researchers from both sides of this development: those mathematicians specializing in the application of modern algebraic and algebro-geometric methods to the study of algebraic groups and their torsors, as well as those working on relevant aspects of the motivic and cohomological approaches from a more abstract viewpoint. We hope that bringing this mix of researchers together will have a synergistic impact, leading to concrete new applications of the abstract machinery to outstanding problems on quadratic forms, algebras with involution and algebraic groups, but also inspiring progress on the general development of the motivic and cohomological methods.
Eintrags-ID:
1499232
12
BIRS Workshop — Subfactors and Fusion (2-)Categories
03. Dez 2023 - 08. Dez 2023 • Banff, Alberta, Kanada
Veranstalter:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Zusammenfassung:
The symmetries of classical mathematical objects form a group. In the past several decades, we have seen new quantum mathematical objects like von Neumann algebras and quantum field theories whose symmetries are best described by tensor categories. One reason for this is that these mathematical objects naturally form higher categories, and thus their endomorphisms naturally form higher monoidal categories. In this sense, we view fusion categories as objects which encode quantum symmetries. Subfactors are a rich source of examples of exotic unitary fusion categories, and conversely, every unitary fusion category arises from a subfactor. This correspondence leads to deep mathematical connections between these fields. These mathematical objects are also intimately related to conformal field theory and topological phases of matter, which give topological quantum field theories, in which higher categories play an important role. The purpose of this workshop is built on the 2014 and 2018 BIRS workshops on subfactors and fusion categories, with the goal of studying these objects through a higher categorical lens. To do so, we will bring together world experts from subfactors, fusion categories, higher categories, and mathematical physics to further develop the deep and rich connections between these fields.
Eintrags-ID:
1499389


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Stand vom 27. Juli 2022