# Classification Results for Expanding and Shrinking gradient Kähler-Ricci solitons

Ronan Conlon (Florida International University)
Thursday 27 June 2019 10:30–11:30 Aud. D3 (1531-215)
Seminar
A complete Kähler metric $$g$$ on a Kähler manifold $$M$$ is a "gradient Kähler-Ricci soliton" if there exists a smooth real-valued function $$f : M \to \mathbb{R}$$ with $$\nabla f$$ holomorphic such that $$Ric(g)-Hess(f)+\lambda g=0$$ 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).
Organised by: QGM
Contact: Cristiano Spotti & Martin de Borbon Revised: 26.06.2019