Centers and traces of categorified affine Hecke algebras (or, some tricks with coherent complexes on the Steinberg variety)

21 February 2013
Anatoly Preygel
<p><span>The bounded coherent dg-category on (suitable versions of) the Steinberg stack of a reductive group G is a categorification of the affine Hecke algebra in representation theory.&nbsp; We discuss how to describe the center and universal trace of this monoidal dg-category.&nbsp; Many of the techniques involved are very general, and the description makes use of the notion of "odd micro-support" of coherent complexes.&nbsp; This is joint work with Ben-Zvi and Nadler.</span></p>
  • Algebraic and Symplectic Geometry Seminar