March 18, 5:30-7:30, Math 507
Che Shen
Che Shen
Quasimap to flag variety and universal Verma module
Quasimap to flag variety and universal Verma module
The space of quasimaps to flag variety, also known as Laumon space, gives a geometric realization of universal Verma module of the quantum group U_q(sl_n) via localized equivariant K-theory. I will talk about a refinement of this result that identifies the (non-localized) K-theory with the dual Verma module of an integral form of U_q(sl_n). Time permitting, I will discuss how to generalize this to affine Laumon space and quantum affine algebra.