BIMSA > GRASP seminar Homotopy theory of Stokes data and derived moduli
Homotopy theory of Stokes data and derived moduli
Organizers
Pengfei Huang , Tao Su , Hao Sun
Speaker
Mauro Porta
Time
Wednesday, June 12, 2024 3:30 PM - 4:50 PM
Venue
A3-2-303
Online
Zoom 242 742 6089 (BIMSA)
Abstract
In this talk I will survey recent work with J. B. Teyssier on the construction of Stokes data for higher dimensional varieties. As discovered by Deligne-Malgrange in the 1-dimensional setting, Stokes data are the combinatorial counterpart of irregular connections. Their moduli, known as wild character varieties, has been introduced by Babbit-Varadarajan and later extended and studied in depth by P. Boalch. In higher dimensions, Stokes data have been extensively used by Sabbah and Mochizuki, but technical difficulties prevented to construct a moduli space of such objects. In our recent work, we overcome these difficulties combining several ideas from stratified homotopy theory and derived geometry, and in this talk I will give an overview of our construction, explaining the key geometrical ideas behind.