Algebra, Geometry, and Combinatorics Seminar

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Symplectic and Poisson geometry seminar - Speaker: Peter Crooks (Utah State University)

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
Altgeld Hall 241
Date
Nov 18, 2024   3:00 pm  
Speaker
Peter Crooks (Utah State University)
Contact
Florian Zeiser
E-Mail
fzeiser@illinois.edu
Views
31

Title: Quasi-symplectic groupoids and the Moore-Tachikawa conjecture

Abstract: I will briefly review Moore and Tachikawa’s conjectural topological quantum field theory (TQFT), as well as the Poisson geometry underlying its formulation. This will lead to an outline of recent, affirmative evidence for the conjecture. I will also detail a systematic association of TQFTs to certain quasi-symplectic Lie groupoids. A distinguished role will be played by the partial Grothendieck-Springer resolutions and their Poisson-geometric relatives. This represents joint work with Maxence Mayrand.

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