Orateur
Description
Supergeometry is the natural mathematical framework that accommodates the notion of supersymmetry in theoretical physics and string theory. In the last dozen years, this field of research has found a renewed popularity after the foundational work of Donagi and Witten, who proved that super moduli spaces of super Riemann surfaces cannot be straightforwardly recovered and studied starting from their bosonic ( = classical) reduction.
The goal of this talk is to give an overview on the recent developments of the study of the moduli superstack of (punctured) stable maps, generalizing some well known properties of the moduli stack of stable maps from classical algebraic geometry. In particular, we will study its deformation/obstruction theory, and compute its virtual dimension.
This is based on joint work with Ugo Bruzzo, Daniel Hernández Ruipérez, and Andrea Ricolfi.