IGAP Geometry and Physics seminar 18/05

[Christian]

Dear everyone,

This is a reminder for today's webinar:

Speaker: Tudor Dimofte (UC Davis)


Title: QFT's for non-semisimple TQFT's

Abstract:

Thirty years ago, work of Witten and Reshetikhin-Turaev activated the 
study of quantum invariants of links and three-manifolds. A cornerstone 
of subsequent developments was a three-pronged approach involving 1) 
quantum field theory (Chern-Simons); 2) rational VOA's (WZW); and 3) 
semisimple representation theory of quantum groups. The second and third 
perspectives have since been extended, to logarithmic VOA's and related 
non-semisimple quantum-group categories. I will propose a family of 3d 
quantum field theories that similarly extend the first perspective to a 
non-semisimple (and more so, derived) regime. The 3d QFT's combine 
Chern-Simons theory with a topologically twisted supersymmetric theory. 
They support boundary VOA's whose module categories are dual to modules 
for Feigin-Tipunin algebras and (correspondingly) to modules for small 
quantum groups at even roots of unity. The QFT is also compatible with 
deformations by flat connections, related to the center of quantum 
groups at roots of unity.
This is joint work with T. Creutzig, N. Garner, and N. Geer. I will 
mention potential connections to recent work of 
Gukov-Hsin-Nakajima-Park-Pei-Sopenko


See you there,
Christian


On 5/11/21 3:32 PM, Christian wrote:
> Dear everyone,
>
> Next *Tuesday May 18th at 14:30 * we resume the "Geometry and Physics" 
> webinar series.
>
> The next seminar will be:
>
> Speaker: Tudor Dimofte (UC Davis)
>
> Title: QFT's for non-semisimple TQFT's
>
>
> The meeting will be on Zoom at the following coordinates:
>
> https://sissa-it.zoom.us/j/83902744296?pwd=bU1oZVJabTlTVFNFLzlnOWNyMkpNdz09 
> <https://sissa-it.zoom.us/j/83902744296?pwd=bU1oZVJabTlTVFNFLzlnOWNyMkpNdz09>
>
>
>
> Meeting ID: 839 0274 4296
>
> Passcode: igapgeophy
>
>
>
> See you there,
>
>
>
> The Organizers (Francesco Benini, Giulio Bonelli, Christian Copetti, 
> Pavel Putrov and Alessandro Tanzini)