Dual Boundary Complexes of Betti Moduli Spaces Associated to Legendrian Knots
发布时间：2021年12月10日
浏览次数：3680
发布者: Wenqiong Li
主讲人： Tao Su(TsingHua University)
活动时间： 从 2021-12-14 14:00 到 15:00
场地： 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.
