MS Seminar (Mathematics - String Theory)

Speaker: Eric Vasserot (Jussieu)
Title: R-matrices and cohomological Hall algebras
Date: Tue, Jul 04, 2017, 13:15 - 14:45
Place: Seminar Room A
Abstract: Using symplectic geometry and Nakajima's quiver varieties, Maulik and Okounkov have associated an R-matrix to any quiver. For quivers of Dynkin types, we recover the rational R-matrices and the corresponding Yangians. For general quivers, there is no algebraic description of the corresponding quantum groups. We'll explain a conjecture relating these new quantum groups to a new family of algebras called cohomological Hall algebras. We'll also describe some recent progress toward the proof of this conjecture.