PIRSA:17020024 Conference Mathematical physics

DOI10.48660/17020024

Conference/School: Hitchin Systems in Mathematics and Physics

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

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

@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}}
}

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.

Resources

Next talk

Related Talks