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Pak-Yeung Chan (National Tsing Hua University)
2024-09-30  16:00-17:00
Room 202, Astronomy and Mathematics Building

Ricci flow deforms the Riemannian structure of a manifold in the direction of its Ricci curvature and tends to regularize the metric. This provides useful information about the geometry of underlying space. Ricci solitons are special solutions to the Ricci flow and arise naturally in the singularity analysis of the flow. We shall discuss some curvature and entropy gap theorems of gradient Ricci solitons. This talk
is based on some joint works with Zilu Ma and Yongjia Zhang, Eric Chen and Man-Chun Lee.