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1
BIRS Workshop — Subfactors and Fusion (2-)Categories
03 Dec 2023 - 08 Dec 2023 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Abstract:
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.
Event listing ID:
1499312
2
Big Mapping Class Groups
08 Jan 2024 - 12 Jan 2024 • End of the Road Lodge in Young, AZ -- Tonto National Forest, Canada
Abstract:
In this workshop we will study infinite-type surfaces and their mapping class groups from several perspectives. Each participant will be asked to either give a lecture or run a problem session.
Event listing ID:
1580207
Related subject(s):
3
Workshop on Dynamics of group actions and Random walks on groups
13 May 2024 - 17 May 2024 • The Fields Institute, Toronto, Ontario, Canada
Organizer:
Fields Institute
Event listing ID:
1558156
4
Branching Problems for Representations of Real, P-Adic and Adelic Groups
07 Jul 2024 - 12 Jul 2024 • UBC Okanagan campus in Kelowna, B.C., Canada
Organizer:
Banff International Research Station for Mathematical Innovation and Discovery (BIRS)
Event listing ID:
1576875
5
BIRS Workshop — Group Operator Algebras: Classification, Structure and Rigidity
22 Sep 2024 - 27 Sep 2024 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Event listing ID:
1559610
6
BIRS Workshop — Cartan Subalgebras in Operator Algebras, and Topological Full Groups
03 Nov 2024 - 08 Nov 2024 • Banff, Alberta, Canada
Organizer:
Banff International Research Station (BIRS) for Mathematical Innovation and Discovery
Event listing ID:
1559758
7
Graduate School on Braid Groups — Focus Program on Algebraic Topology In memory of Fred Cohen
23 Jul 2025 - 25 Jul 2025 • Toronto, Ontario, Canada
Organizer:
The Fields Institute for Research in Mathematical Sciences
Abstract:
This intensive graduate school will cover topics central to the Workshop on Interactions between Group Theory and Homotopy Theory the following week. This school is designed to give graduate students and early career researchers in related fields a better understanding of each subject, thus enabling the participants to better engage in the subsequent workshop.
Event listing ID:
1580100
8
Workshop on Interactions between Group Theory and Homotopy Theory — Focus Program on Algebraic Topology In memory of Fred Cohen
28 Jul 2025 - 01 Aug 2025 • Toronto, Ontario, Canada
Organizer:
The Fields Institute for Research in Mathematical Sciences
Abstract:
Group theory and topology have a long and rich history of interaction. This workshop will bring together experts working on different aspects of this interaction in order to share ideas and boost the development of new methods that can be applied to the topology of configuration spaces, braid groups, mapping class groups and manifolds, and spaces of commuting elements.
Event listing ID:
1580143


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Last updated: 5 October 2023