Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Collection Summer School 2021: Enumerative Geometry, Physics and Representation Theory

Organizer(s) Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov

Date(s) 05/07/2021 - 16/07/2021

linked URL https://indico.math.cnrs.fr/event/5382/

00:00:00 / 00:00:00

35 39

3d SUSY Gauge Theory and Quantum Groups at Roots of Unity

By Tudor Dimofte

Topological twists of 3d N=4 gauge theories naturally give rise to non-semisimple 3d TQFT's. In mathematics, prototypical examples of the latter were constructed in the 90's (by Lyubashenko and others) from representation categories of small quantum groups at roots of unity; they were recently generalized in work of Costantino-Geer-Patureau Mirand and collaborators. I will introduce a family of physical 3d quantum field theories that (conjecturally) reproduce these classic non-semisimple TQFT's. The physical theories combine Chern-Simons-like and 3d N=4-like sectors. They are also related to Feigin-Tipunin vertex algebras, much the same way that Chern-Simons theory is related to WZW vertex algebras. (Based on work with T. Creutzig, N. Garner, and N. Geer.)

Information about the video

Date of recording 09/07/2021
Date of publication 11/07/2021
Institution IHES
Language English
Audience Researchers, Graduate Students
Director(s) Mandarine Audiovisuel
Format MP4

Domain(s)

Document(s)

Slides

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

5 videos

published on July 16, 2021

Richard Thomas - Vafa-Witten Invariants of Projective Surfaces

5 videos

published on July 16, 2021

Eugene Gorsky - Algebra and Geometry of Link Homology

5 videos

published on July 16, 2021

Joel Kamnitzer - Symplectic Resolutions, Coulomb Branches, and 3d Mirror Symmetry

5 videos

published on July 16, 2021

Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves

4 videos

published on July 16, 2021

Markus Reineke - Cohomological Hall Algebras and Motivic Invariants for Quivers

5 videos

published on July 16, 2021

Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants

01:08:32

published on July 6, 2021

The Skein Algebra of the 4-punctured Sphere from Curve Counting

By Pierrick Bousseau

01:12:05

published on July 7, 2021

SU(r) Vafa-Witten Invariants and Continued Fractions

By Lothar Gottsche

01:15:23

published on July 7, 2021

Multiple Cover Formula for the Stable Pairs Theory of K3xE

By Georg Oberdieck

01:09:34

published on July 8, 2021

Gaiotto Conjectures for Quantum Super-groups

By Alexander Braverman

01:17:47

published on July 16, 2021

BPS Counting and Pseudoperiodic Topology

By Maxim Kontsevich

01:16:24

published on July 11, 2021

3d SUSY Gauge Theory and Quantum Groups at Roots of Unity

By Tudor Dimofte

01:09:19

published on July 12, 2021

Generalized Airy Functions and Givental's R-matrices for Projective Spaces and Witten's Class

By Dimitri Zvonkine

01:10:15

published on July 13, 2021

Complex K-theory of Dual Hitchin Systems

By Michael Groechenig

01:03:23

published on July 14, 2021

Stable Envelopes, Bow Varieties, 3d Mirror Symmetry

By Richard Rimanyi

01:07:18

published on July 15, 2021

Cohomology of Affine Springer Fibres and Centre of Small Quantum Groups

By Peng Shan

Copyright Carmin.tv 2024

Give feedback