PIRSA:17020031 Conference Mathematical physics

DOI10.48660/17020031

Conference/School: Hitchin Systems in Mathematics and Physics

Sala, F. (2017). Higgs sheaves on a curve and Cohomological Hall algebras. Perimeter Institute. https://pirsa.org/17020031

Sala, Francesco. Higgs sheaves on a curve and Cohomological Hall algebras. Perimeter Institute, Feb. 16, 2017, https://pirsa.org/17020031 

@misc{ pirsa_PIRSA:17020031,
  doi = {10.48660/17020031},
  url = {https://pirsa.org/17020031},
  author = {Sala, Francesco},
  keywords = {Mathematical physics},
  language = {en},
  title = {Higgs sheaves on a curve and Cohomological Hall algebras},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {feb},
  note = {PIRSA:17020031 see, \url{https://pirsa.org}}
}

Abstract

Cohomological Hall algebras associated with preprojective algebras of quivers play a preeminent role in geometric representation theory and mathematical physics. In the present talk, I will introduce and describe CoHAs associated with the stack of Higgs sheaves on a smooth projective curve. Moreover, I will address the connections with representation theory and gauge theory. (This is a joint work with Olivier Schiffmann.)

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