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Department of Mathematics,
University of California San Diego

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Math 208: Seminar in Algebraic Geometry

Dr. Francois Greer

Michigan State University

Elliptic-Elliptic Surfaces

Abstract:

Elliptic surfaces are complex surfaces with two discrete invariants, $g$ and $d>0$. We will discuss the moduli and Hodge theory of these surfaces for small values of $(g,d)$. The case $(g,d)=(1,1)$ is particularly interesting, in view of a new conjectural Fourier-Mukai type correspondence. It also provides a test case of the Hodge Conjecture in dimension 4.

Host: Dragos Oprea

May 2, 2025

4:00 PM

APM 7321

Research Areas

Algebraic Geometry

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