Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Deformation of Contracting Maps under Harmonic Map Heat Flow
Preservation of Killing Vector Fields under Ricci Flow
Speaker: Jia-Lin Hsu Title: Deformation of Contracting Maps under Harmonic Map Heat Flow
Abstract: In this talk, I will present my research on the topological rigidity of contracting maps using the harmonic map heat flow method, primarily inspired by the work of Man-Chun Lee and Jingbo Wan (2023). I will focus on contracting conditions defined by the partial sum of squares of the map's singular values and explore the appropriate curvature conditions employed in the theorems.
Speaker: Ming Hsiao Title: Preservation of Killing Vector Fields under Ricci Flow
Abstract: In this talk, I will show that with some curvature assumptions the property of being a Killing vector field is preserved under the complete Ricci flow. It is proved directly and does not rely on any uniqueness results of Ricci flow.