# Emanuele Macrí: Antisymplectic involutions on projective hyperkähler manifolds

**Time: **
Fri 2021-10-08 14.00 - 15.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)

**Lecturer: **
Emanuele Macrí (Université Paris-Saclay)

**Abstract:** An involution of a projective hyper-Kähler manifold is called antisymplectic if it acts as \((-1)\) on the space of global holomorphic 2-forms. I will present joint work in progress with Laure Flapan, Kieran O'Grady, and Giulia Saccà on antisymplectic involutions associated to polarizations of degree 2. We study the number of connected components of the fixed loci and their geometry.