Dual Boundary Complexes of Betti Moduli Spaces Associated to Legendrian Knots
Time: 2021-12-10
Published By: Wenqiong Li
Speaker(s): Tao Su(TsingHua University)
Time: 14:00-15:00 December 14, 2021
Venue: Room 29, Quan Zhai, BICMR
The homotopy type conjecture is part of the geometric P=W conjecture in nonabelian Hodge theory. It says that, the dual boundary complex of the smooth Betti moduli space of complex dimension d is homotopy equivalent to a sphere of dimension d-1. In this talk, via a microlocal/contact geometric perspective, I will explain a proof of the homotopy type conjecture for a class of rank n wild character varieties over the two sphere with one irregular singularity, specified by the "Stokes Legendrian knot" defined by a n-strand positive braid.
