# Olivier Biquard: Renormalized volume for ALE Ricci-flat 4-manifolds

**Time: **
Tue 2019-11-12 10.00 - 11.00

**Lecturer: **
Olivier Biquard, Ecole normale supérieure of Paris

**Location: ** Seminar Hall Kuskvillan, Institut Mittag-Leffler

### Abstract

We introduce a renormalized volume for ALE Ricci-flat 4-manifolds, and prove that is satisfies an inequality, with equality only in the case of a cone. Joint work with Hans-Joachim Hein.