PIRSA:17020024

BPS algebras and twisted character varieties

APA

Davison, B. (2017). BPS algebras and twisted character varieties. Perimeter Institute. https://pirsa.org/17020024

MLA

Davison, Ben. BPS algebras and twisted character varieties. Perimeter Institute, Feb. 14, 2017, https://pirsa.org/17020024

BibTex

          @misc{ pirsa_17020024,
            doi = {10.48660/17020024},
            url = {https://pirsa.org/17020024},
            author = {Davison, Ben},
            keywords = {Mathematical physics},
            language = {en},
            title = {BPS algebras and twisted character varieties},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020024 see, \url{https://pirsa.org}}
          }
          

Ben Davison University of Edinburgh

Abstract

In this talk I will explain how a perverse filtration on the Kontsevich-Soibelman cohomological Hall algebra enables us to define the Lie algebra of BPS states associated to a smooth algebra with potential. I will then explain what this means for character varieties, and in particular, how to build the "genus g Kac-Moody Lie algebra" out of the cohomology of representations of the fundamental group of a surface.