Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Ancient solutions to curvature flows
Ricci curvature lower bound in the spectral sense
Nathan Burns, Title: Ancient solutions to curvature flows
Abstract: Ancient Solutions to geometric flows are solutions which have existed for an infinite amount of time in the past. They arise naturally in the blow-up analysis of singularity formation, and typically have nice rigidity properties. In this talk, I will present a survey of results relating to the classification of ancient solutions to different geometric flows with a specific focus on the Ricci flow and the mean curvature flow.
Kai Xu, Title: Ricci curvature lower bound in the spectral sense
Abstract: We will discuss the geometry of manifolds whose first eigenvalue of (-γΔ+Ric) is bounded from below. This it is a global and weaker lower bound condition on Ricci curvature. We will talk about Bonnet-Myers and volume comparison theorems under such a condition, as well as the relevant applications. The talk is based on my joint work with G. Antonelli.