MATH Seminar

Title: Equations for Hilbert modular surfaces
Seminar: Algebra
Speaker: Abhinav Kumar of MIT
Contact: David Zureick-Brown, dzb@mathcs.emory.edu
Date: 2013-04-24 at 3:00PM
Venue: W306
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Abstract:
I will describe a method to compute models for Hilbert modular surfaces $Y_{-}(D)$, parametrizing principally polarized abelian surfaces with real multiplication by the full ring of integers in the quadratic field of discriminant D, through moduli spaces of elliptic K3 surfaces. I will also show a couple of applications of these explicit equations, in number theory and in geometry/dynamics.

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