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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 295 - Mathematics Colloquium
Georg Oberdieck
MIT
Enumerative geometry of hyper-Kaehler varieties and modular forms
Abstract:
The enumerative geometry of curves on K3 surfaces is governed by modular forms. I will discuss a parallel connection between the enumerative geometry of hyper-Kaehler varieties and Jacobi forms. The case of genus 1 curves is particularly interested and leads to the Igusa cusp form conjecture. In the last part I will explain recent work with Junliang Shen and Aaron Pixton which yields a proof of this conjecture.
Host: Dragos Oprea
November 28, 2017
3:00 PM
AP&M 6402
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