03-24【Dali Shen】Kaehler cone-manifolds associated with a projective arrangement

Time:2022-03-21Views:81


Speaker: Dali Shen (Tata Institute of Fundamental Research)

Time: 16:00, March 24

Room: Tencent Meeting: 740-871-646, password:0324  



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.


More details please visit: http://staff.ustc.edu.cn/~nanbei0104/