MS Seminar (Mathematics - String Theory)

Speaker: Ken-Ichi Yoshikawa (the University of Tokyo)
Title: K3 surfaces with involution and Borcherds products
Date: Fri, May 08, 2009, 13:30 - 15:00
Place: Seminar Room at IPMU Prefab. B
Abstract: Using equivariant analytic torsion, we introduced an invariant of K3 surfaces with involution. In this talk, we focus on the structure of the invariant as a function on the moduli space. As a result, the invariant is expressed as the product of an explicit Borcherds product and Igusa's Siegel modular form. If time permits, we explain the relation between the BCOV invariant of certain Calabi-Yau threefolds and our invariant.