Convexity Seminar

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Sharp geometric inequalities and their stabilities

Speaker: Guozhen Lu, University of Connecticut

Location: Warren Weaver Hall 1314

Date: Thursday, April 17, 2025, 1 p.m.

Synopsis:

In this talk, we will discuss some recent works on stability for some sharp geometric inequalities, including optimal lower bounds for higher and fractional order Sobolev inequality and Hardy-Littlewood-Sobolev inequality in Euclidean space and log-Sobolev inequality on the sphere. Stability for Caffarelli-Kohn-Nirenberg inequality will also be discussed if time permits.