Speaker: Dali Shen
Title: Kaehler cone-manifolds associated with a projective arrangement
Abstract: Given a hyperplane arrangement of some type in a projective space, the Dunkl system, developed by Couwenberg, Heckman and Looijenga, is used to study the geometric structures on its complement, and as a consequence it leads to the discovery of new ball quotients when the so-called Schwarz conditions are imposed. In this talk, I will show that the space, investigated in this system, is still of a particular type of structure, namely, the structure of a cone-manifold, when there is no Schwarz conditions imposed. I will illustrate this theory by discussing the one-dimensional example, which originates from the classical hypergeometric system.
Affiliation: Tata Institute of Fundamental Research
Event: Seminar
Date: 4:00pm, March 24, 2022
Video recording: https://meeting.tencent.com/v2/cloud-record/share?id=d9213af3-f4ed-4634-9cb2-fb603a60b527&from=3
Password: 3j4V
