PDE Seminar

Tuesday, 21 March at 4 pm

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Venue: 216, Mathematics Department

Host: Saikat Mazumdar

Speaker: Dr. Souptik Chakraborty

Affiliation: IIT Bombay

Title: Quantitative stability results of some functional inequalities

Abstract: In 1992, Bianchi-Egnell proved that the "Sobolev deficit" is bounded below by the distance of the function to the manifold of optimizers which gives a quantitative version of Lions result. In recent years, Figalli and other mathematicians obtained quantitative stability results for the critical exponent problem which is the Euler-Lagrange equation associated to Sobolev inequality. In this talk, I'm going to present recent developments in this direction. In particular, I will talk about some progress in the quantitative stability aspects of Hardy-Sobolev inequality. This is an ongoing joint project with Saikat Mazumdar.

Algebraic groups Seminar

Tuesday, 21 March at 4 pm

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Venue: 114, Mathematics Department

Host: Shripad Garge

Speaker: Shripad M. Garge

Affiliation: IIT Bombay

Title: Linear algebraic groups, basic themes. V

Abstract: We discuss the last section in Springer's second chapter. It is on determining a group by its representations.