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_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}} }
University of Edinburgh
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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.