March 4, 5:30-7:30, Math 507

Andres  Fernandez Herrero

A version of stable maps into the classifying stack BGL_n

Abstract: In this talk, I will describe a version of stable maps into a quotient stack [Z/GLN], where Z is a projective variety with an action of the general linear group GLN. We will mostly focus on the case when Z is a point, so the target is the classifying stack BGL_n. I will also update on the ongoing piece of the story with marked points, which involves some surprises, such as the inclusion of a notion of "orientation" for the markings in order to compactify the evaluation morphisms and define reasonable gluing morphisms. This talk is based on joint work in progress with Daniel Halpern-Leistner.