MS Seminar (Mathematics - String Theory)

Speaker: Ken-Ichi Yoshikawa (University of Tokyo)
Title: K3 surfaces with involution, equivariant analytic torsion and automorphic forms
Date: Fri, Jun 19, 2009, 10:30 - 12:00
Place: Seminar Room at IPMU Prefab. B
Abstract: This is a continuation of my talk in May. After recalling the construction of an analytic torsion invariant of K3 surfaces with involution, we study the structure of the invariant as a function on the moduli space. The invariant is expressed as the product of an explicit Borcherds lift and Igusa's Siegel modular form. If time permits, we explain the relation between the BCOV invariant of certain Calabi-Yau threefolds of Borcea-Voisin and our invariant.