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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