K3 surfaces with involution, equivariant analytic torsion and Borcherds products

Jeudi 4 octobre 2007 14:00-15:00 - Yoshikawa Ken-ichi - Tokyo University

Résumé : Some years ago, we introduced an invariant of K3 surfaces with involution, which we constructed using equivariant analytic torsion.
This invariant, which is a function on the moduli space, is expressed as the Petersson norm of an automorphic form. We would like to talk about the structure of this automorphic form. In many cases, this automorphic form is expressed as the tensor product of a Borcherds lift and Igusa’s modular form.

Lieu : bât. 425 - 121-123

K3 surfaces with involution, equivariant analytic torsion and Borcherds products  Version PDF