PDE and Differential Geometry Seminar by Brett Kotschwar (Arizona State University)
Monday, October 13, 2025 2:00–3:00 PM
- LocationMonteith Building
- DescriptionTitle: Maximal curvature growth and temporal analyticity for complete 2-D Ricci flows. Abstract: A consequence of the work of Topping and Giesen-Topping is that complete 2-D Ricci flows are unique; in higher dimensions, the uniqueness of solutions is not known to hold in general without some restriction on the growth of the curvature. In this talk, I will establish a corresponding backward uniqueness statement for general complete 2-D flows. The key ingredient is an estimate which shows that the curvature of a simply connected 2-D Ricci flow grows at most exponentially in space after some amount of time has elapsed. This estimate in turn can be used to prove the instantaneous space-time analyticity of all complete 2-D solutions. I will also discuss extensions of these latter arguments to higher dimensional flows of potentially unbounded curvature.
- Websitehttps://events.uconn.edu/pde-and-differential-geometry-seminar/event/1161137-pde-and-differential-geometry-seminar-by-brett-kotsc
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