Online Talk

Zoom link: https://princeton.zoom.us/j/99576580357

We study two cases of degenerations of Kähler-Einstein metrics with a conical angle around a divisor going to zero. The first case is that of a locally symmetric space and we show convergence to the locally symmetric metric, with further asymptotics in the case of a ball quotient. The second case is that of an anticanonical divisor in a Fano manifold. We answer a question of Donaldson by showing that a rescaled metric converges to the complete, Ricci flat Tian-Yau metric in the complement of the divisor.

Joint work with Henri Guenancia.