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SEMINARS
K3 surfaces with involution and analytic torsion
时间  Datetime
2019-10-09 15:30 — 16:30 
地点  Venue
Middle Lecture Room(703)
报告人  Speaker
Prof. Ken-Ichi Yoshikawa
单位  Affiliation
Department of Mathematics, Kyoto University
邀请人  Host
Mounir HAJLI
报告摘要  Abstract

In a paper published in 2004, I introduced a holomorphic torsion invariant for  K3 surfaces with involution. This invariant is viewed as a function on the moduli  space, which is a modular variety of orthogonal type. In the talk, I will explain  the construction of the invariant and its structure as an automorphic function on the moduli space. It is expressed as a product of an explicit Borcherds
product and a Siegel modular form.