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Ronan Conlon: Lectures

By Victoria Hain in Lectures on August 29, 2019.

September 9, 2019
TITLE: Classification results for expanding and shrinking gradient Kähler-Ricci solitons

ABSTRACT: A complete Kahler metric $g$ on a Kahler manifold $M$ is a “gradient Kahler-Ricci soliton” if there exists a smooth real-valued function $f:M\to\mathbb{R}$ with $\nabla f$ holomorphic such that $\operatorname{Ric}(g)-\operatorname{Hess}(f)+\lambda g=0$ for $\lambda$ a real number. I will present some classification results for such manifolds. This is joint work with Alix Deruelle (Université Paris-Sud) and Song Sun (UC Berkeley).