Geometric representation theory contains various realizations of representation some infinite dimensional Lie algebras  in geometric ways. In this talk we will introduce a geometric construction of representation of Hecke algebra realizing as action on K-theory groups of moduli spaces of stable bundles on smooth surfaces given by Andrei Negut, which is a generalization of Nakajima’s results on Hilbert scheme of n points on affine plane. In his work, Negut introduces a way to understand the operators on K-theory groups without using equivariant settings.