Differential Geometry Seminar: Ken-Ichi Yoshikawa (Kyoto University), 'Analytic torsion of log-Enriques surfaces'

Event Date: 

Friday, April 12, 2013 - 3:00pm to 4:00pm

Event Location: 

  • 6635 South Hall

Event Contact: 

Guofang Wei

Email: wei@math.ucsb.edu

Abstract: Log-Enriques surfaces are singular rational surfaces that arise as degenerations of Enriques surfaces. Even though they are rational, they carry Ricci-flat orbifold Kaeher metrics. Then one can construct an invariant of log-Enriques surfaces by using analytic torsion and volume. The goal of my talk is to explain that, as a function on the moduli space, this analytic torsion invariant is expressed as a nice automorphic form on the Kaehler moduli of a Del Pezzo surface.