MS Seminar (Mathematics - String Theory)

Speaker: Fabio Tanturri (Universite Lille 1)
Title: Orbital degeneracy loci
Date: Wed, Jan 17, 2018, 13:15 - 14:45
Place: Seminar Room B
Abstract: In a joint project with Vladimiro Benedetti, Sara Angela Filippini, and Laurent Manivel, we introduce a new class of varieties, called orbital degeneracy loci. The base idea is to use any orbit closure in a representation of an algebraic group to generalize classical degeneracy loci of morphisms between vector bundles or zero loci of sections. In this talk I will introduce some tools to understand and study this new class of objects; with such techniques, we can exploit our construction to produce several interesting examples of projective varieties, in particular varieties with trivial or negative canonical bundle.