A representation of the spherical double affine Hecke algebra on the quantum cohomology ring of a Grassmannian
Vincent Gajda (University of Bonn)
Wednesday 26th September 16:00-17:00 Maths 311B
First we discuss some basic concepts involving the double affine Hecke algebra associated to GL_n. In particular, we will define the spherical DAHA, which is an idempotent truncation of the DAHA. Under the assumption that the parameters of the DAHA are primitive N-th roots of unity for N>n we will construct a representation of the spherical DAHA on the quantum cohomology ring (specialized at q=1) of the Grassmannian of n-planes in an N-dimensional complex vector space.