Quantum Universe Lectures

Correlators, topological field theory and categorification (3/3)

by Paul Wedrich (Universität Hamburg)

Europe/Berlin
Building. 2a, Seminar Room 2 (DESY)

Building. 2a, Seminar Room 2

DESY

Description

Categorification in quantum topology 

I will start by giving an introduction to the framework of "categorification" and outline how it is used for the construction and study of topological field theories as a kind of dual to the process of dimensional reduction. After situating some examples that we have met previously, I will present a sequence of increasingly sophisticated categorifications of quantum invariants of knots. As an application, we obtain a new invariant of smooth 4D manifolds from Khovanov's categorification of the Jones polynomial, akin to the string net spaces from the first talk of this series, but with all dimensions doubled.


The lecture takes place at DESY, building 2a, seminar room 2. It is recommended to wear masks during the lecture and follow distance regulations. You may also follow the lecture via Zoom:   
https://uni-hamburg.zoom.us/j/92293543262   
(Meeting ID: 922 9354 3262, Passcode: 97540703)


PhD students in QURS who want to acquire credits for attending these lectures are requested to register for the course via Geventis until 13 January: https://www.geventis.uni-hamburg.de/course?course=7983970120265348904

From the same series
1 2