HyperKaehler varieties and Jacobi forms
Georg Oberdieck (MIT)  Seminar Algebraic Geometry (SAG)
What 


When 
Nov 16, 2017 from 10:30 am to 11:30 am 
Where  Bonn, Hörsaal MPI, Vivatsgasse 7, 53111 Bonn 
Contact Name  Sachinidis 
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The YauZaslow formula relates the number of rational curves on a K3 surface to Fourier coefficients of the modular discriminant. HyperKaehler varieties are analogs of K3 surfaces in higher dimension, and an analog of rational curves are the uniruled divisors. I will discuss how one can use GromovWitten theory to enumerate these divisors in terms of Jacobi forms. More generally, the full GromovWitten theory of hyperKaehler varieties is conjecturally governed by Jacobi forms. I will explain how holomorphic anomaly equations fit into this picture.