Joseph Gunther "Asymptotic stabilization of moduli spaces" 16h-17h

Joseph Gunther (Paris 11)

Asymptotic stabilization of moduli spaces

A common theme in different areas of mathematics is that natural sequences of moduli spaces often stabilize in certain respects: homological stability in topology, finite field point-counts in number theory, motivic classes in algebraic geometry.  We will examine stabilization through the lens of two important examples: Hurwitz spaces parametrizing covers of curves, and moduli spaces of hypersurfaces.