# (HoRSe seminar) ADHM Sheaves, Wallcrossing, and Cohomology of the Hitchin Moduli Space II

22 June 2010
15:45
Duiliu Diaconescu
Abstract
The second talk will present conjectural motivic generalizations of ADHM sheaf invariants as well as their wallcrossing formulas. It will be shown that these conjectures yield recursive formulas for Poincare and Hodge polynomials of moduli spaces of Hitchin pairs. It will be checked in many concrete examples that this recursion relation is in agreement with previous results of Hitchin, Gothen, Hausel and Rodriguez-Villegas.
• Algebraic and Symplectic Geometry Seminar