EVENT DETAILS AND ABSTRACT

Title: The stabilization of the cohomology of moduli spaces of sheaves on surfaces
Speaker: Izzet Coskun
Speaker Info: UIC
Brief Description:
Special Note: Joint Algebraic Geometry/Number Theory talk
Abstract:

The Betti numbers of the Hilbert scheme of points on a smooth, irreducible projective surface have been computed by Gottsche. These numbers stabilize as the number of points tends to infinity. In contrast, the Betti numbers of moduli spaces of semistable sheaves on a surface are not known in general. In joint work with Matthew Woolf, we conjecture these also stabilize and that the stable numbers do not depend on the rank. We verify the conjecture for large classes of surfaces. I will discuss our conjecture and provide the evidence for it.