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The Erwin Schroedinger Institute for Mathematical Physics

Jørgen Ellegaard Andersen (Aarhus U): Quantum representations of mapping class groups via geometric quantization of moduli spaces

 

Jørgen Ellegaard Andersen (Aarhus U):

Quantum representations of mapping class groups via geometric quantization of moduli spaces

 

Abstract:  We will describe how the Reshetikhin-Turaev quantum representations of mapping class groups are constructed by applying geometric quantization to the moduli space of flat SU(n)-connections on the surface. We will further show how we can generalise this to also apply geometric quantization to the moduli space of flat SL(n,C)-connections to obtain new infinite dimensional quantum representations of mapping class groups corresponding to quantum Chern-Simons theory for the gauge group SL(n,C).

Flyer (pdf)

At a glance

Type: Lecture
When: Feb 24, 2014
from 04:00 PM to 05:00 PM
Where: ESI, Boltzmann Lecture Hall
Organizers: J. Fuchs (Karlstad U), L. Katzarkov (U Vienna), N. Reshetikhin (UC Berkeley), C. Schweigert (U Hamburg)
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