GEOMETRY & PHYSICS SEMINAR - Thursday 30 May, at 14:30 - VENUE: Luigi Stasi Seminar room - Tudor Dimofte

[ICTP Math Section]

_G E O M E T R Y  &  P H Y S I C S  S E M I N A R S_


Thursday 30 May 2024, at 14:30

VENUE: ICTP Luigi Stasi seminar room


Speaker: Tudor Dimofte (University of Edinburgh)


Title: Finding quantum groups in 3d TQFT


Abstract:
Line operators in 3d topological QFT's are expected to have the 
structure of a braided tensor category. In turn, braided tensor 
categories tend to arise mathematically as modules for quasi-triangular 
Hopf algebras, a.k.a. "quantum groups." Nevertheless, it has been a 
notoriously difficult problem to explicitly locate these quantum groups 
in 3d physics. I will propose a general approach to solving this problem 
in the case of QFT's that admit topological boundary conditions, 
inspired by recent work in 4d Chern-Simons (by K. Costello and 
collaborators) and 3d Chern-Simons (by N. Aamand). Simple applications 
include finding quantum groups in Dijkgraaf-Witten theory (a.k.a. 
finite-group gauge theory) and topologically twisted 3d N=4 gauge 
theories. (Joint work in progress with T. Creutzig and W. Niu.)

All are welcome to attend

/https://indico.ictp.it/event/10727/
/

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