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PDEs & Applications Seminar

Friday, October 25th, 2024

Time: 9:30 a.m.  Place: Jeffery Hall, Room 422

Speaker: Liangbing Luo (¾ÅÐãÖ±²¥)

Title: Other aspects of Logarithmic Sobolev inequalities

Abstract: The logarithmic Sobolev inequality has been first introduced and studied by L. Gross on a Euclidean space, and since then it found many applications. Due to the lack of curvature bounds (or classical Bakry-Emery estimates)  on sub-Riemannian manifolds, we need use different techniques in such a setting. In this talk, I will give other perspectives to study logarithmic Sobolev inequalities, such as the connection to optimal transport, GFT (generalized Fourier transform), etc.