MS Seminar (Mathematics - String Theory)

Speaker: Gufang Zhao (The University of Melbourne)
Title: Cohomological Hall algebras and their representation theory
Date: Fri, Jan 10, 2020, 13:15 - 14:45
Place: Seminar Room B
Blackboard: (Blackboard talk)
Abstract: Cohomological Hall algebras (COHA) of a quiver with a superpotential is introduced by Kontsevich and Soibelman in the context of refined Donaldson-Thomas invariants. In this talk, I will focus on several examples of the representations of COHA, on cohomology of moduli of sheaves on a toric Calabi-Yau 3-fold, and on versions of quiver varieties. I will mention some applications in representation theory, including a construction of generalized quantum Frobenius maps, and constructions of generalized affine Schubert varieties.