PIRSA:17020031

Higgs sheaves on a curve and Cohomological Hall algebras

APA

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

MLA

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

BibTex

          @misc{ 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}}
          }
          

Francesco Sala University of Tokyo

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.)