Seminar Analysis: Hoai-Minh Nguyen (Swiss Federal Institute of Technology in Lausanne (EPFL))

Estimates for the topological degree and related problems

In this talk, I first discuss estimates for the topological degree of maps from sphere into itself. Second, I present characterizations of Sobolev spaces based on the pointwise convergence or the Gamma-convergence of a sequence of nonlocal, nonconvex functionals related to these estimates. If time permits, I will also discuss the  connection between these functionals  with various filters in the denoising problem. The talk is based on joint works with Jean Bourgain and Haim Brezis.

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