Optimal stability for geometric inequalities

Seminar: 
Analysis
Event time: 
Thursday, March 27, 2025 - 4:00pm
Location: 
KT 207
Speaker: 
Guozhen Lu
Speaker affiliation: 
Uconn
Event description: 

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.