Dear all,
Tomorrow's speaker in the Analysis and Probability Seminar is
Debdip Ganguly from
IIT, Delhi. The title of his talk is "Sharp Quantitative stability of Poincare-Sobolev
inequality in the hyperbolic space."
The talk will begin at 2:30pm tomorrow in Mont 313.
Abstract: The talk is devoted to the sharp stability of Poincare-Sobolev inequalities in
the hyperbolic space. To begin with, I shall formulate the question of the stability of the classical Sobolev inequality in the Euclidean space and recall some of the seminal results of Bianchi-Egnelland Ciraolo, Figalli and Maggi and many others. Then I shall
deduce the (sharp) quantitative gradient stability of the Poincare-Sobolev inequalities in the hyperbolic space and the corresponding Euler-Lagrange equation locally around a bubble (and possibly at a higher energy level!) if time permits.
This is joint work with M. Bhakta, D. Karmakar, and S. Mazumdar.
Best,
Sean
