Hecke algebras, the Steinberg variety, and the local Langlands correspondence

David Helm

Hecke algebras, the Steinberg variety, and the local Langlands correspondence

Abstract: We give an overview of Kazhdan-Lustig's celebrated results describing the affine Hecke algebra attached to a split reductive group G in terms of the K-theory of the Steinberg variety, and discuss its implications for the local Langlands correspondence. This is an expository talk intended as background for the afternoon talk, "A derived local Langlands correspondence for GL_n".