# Asymptotic stabilization of point counts for moduli spaces

## Joseph Gunther (Cuny)

LA common theme in different areas of mathematics is that natural sequences of moduli spaces often stabilize in certain respects: homological stability in topology, convergence of motives in algebraic geometry, finite field point-counts in number theory. I'll explain recent point-counting results on Hurwitz spaces parametrizing covers of curves, and moduli spaces of hypersurfaces. Time willing, I'll discuss motivic convergence in the Grothendieck ring of varieties.

Tuesday, November 8th, at 4:00pm in HBH 227

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