# Seminars & Colloquia Calendar

Nonlinear Analysis

## Kaehler-Einstein metrics on complex hyperbolic cusps

#### Xumin Jiang, Fordham University

Location:  Zoom
Date & time: Wednesday, 27 October 2021 at 9:30AM - 10:30AM

Abstract: Let D be a complex torus of complex dimension n-1 together with a negative holomorphic line bundle L -> D. Let V be any closed tubular neighborhood of the zero section D in L. Datar-Fu-Song proved the existence of a unique complete Kaehler-Einstein metric on V \ D if a boundary condition is assumed. We study the asymptotics of such KE metrics and prove a sharp exponentially decaying estimate. This work is joint with Xin Fu and Hans-Joachim Hein.