PIRSA:21100028

Twisted Character Varieties and Quantization via Factorization Homology

Keller, C. (2021). Twisted Character Varieties and Quantization via Factorization Homology. Perimeter Institute. https://pirsa.org/21100028

Keller, Corina. Twisted Character Varieties and Quantization via Factorization Homology. Perimeter Institute, Oct. 22, 2021, https://pirsa.org/21100028 

          @misc{ pirsa_PIRSA:21100028,
            doi = {10.48660/21100028},
            url = {https://pirsa.org/21100028},
            author = {Keller, Corina},
            keywords = {Mathematical physics},
            language = {en},
            title = {Twisted Character Varieties and Quantization via Factorization Homology},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {oct},
            note = {PIRSA:21100028 see, \url{https://pirsa.org}}
          }

Corina Keller

University of Montpellier

Talk number
PIRSA:21100028
Collection
Talk Type
Subject
Abstract

Factorization homology is a local-to-global invariant which "integrates" disk algebras in symmetric monoidal higher categories over manifolds. In this talk I will discuss how to compute categorical factorization homology on oriented surfaces with principal D-bundles, for D a finite group, in terms of categories of modules over algebras defined in purely combinatorial terms. This is an extension of the work of Ben-Zvi, Brochier and Jordan to D-decorated surfaces. The main example for us comes from an action of Dynkin diagram automorphisms on representation categories of quantum groups associated to a reductive group G. We will see that in this case factorization homology gives rise to a quantization of character varieties which are twisted by the group of outer automorphisms of G.

This talk is based on joint work with L. Müller.

Zoom Link: https://pitp.zoom.us/j/93950433494?pwd=WXI2VE9IdnRweEh5RmZsZ21BV1BQQT09