Speaker: Martin de Borbon
Title: Polyhedral Kahler cone metrics on Cn
Abstract: I will discuss a particular class of flat torsion free meromorphic connections on Cn with simple poles at hyperplane arrangements. The main result is that, if the holonomy is unitary, then the metric completion (of the flat Kahler metric on the arrangement complement) is polyhedral. In the case of the braid arrangement, our result extends to higher dimensions the well-known existence criterion for spherical metrics on the Riemann sphere with three (non-integer) cone points. This is joint work with Dmitri Panov.
Affiliation: King’s College London
Event: Seminar
Date: 4:00pm, March 3, 2022
