Speaker: Nan Wu
University of Notre Dame
Will give a Graduate Student Geometry Seminar entitled:
Introduction to the Fourth Order Willmore Energy
Abstract: The Willmore energy, named after the mathematician Thomas Willmore, is a quantitative measure of how much an immersed surface deviates from a round sphere. Lots of interesting work related to the classical willmore energy including the minimizing problem with prescibed topology, epsilon regularity and the willmore conjecture. In the past decade, conformal geometers and physicists were searching for canonical conformal invariants on four-dimensional immersed submanifolds. Such invariant was discovered by Guven and Graham--Reichert via the renormalized area in Poincar'{e}--Einstein metric. In this talk, i will give a brief introduction towards the construction of this energy. If time permits, i will discuss our recent progress on the non-minimizing result with prescibed topology for such energy. This is based on a joint work with Zetian Yan (UCSB).
Date: 04-25-2025
Time: 4:00 pm
Location: 258 Hurley Bldg