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.
