### Thursday, November 12, 2015 (3:00 p.m. in Yost 335)

**Title:** Stability of some geometric inequalities and their application to the rate of convergence of Steiner, Minkowski and Blaschke symmetrization

**Speaker:** Alex Segal (Tel Aviv University)

**Abstract:** We will discuss the stability of the Brunn-Minkowski, Knesser-Suss and the isoperimetric inequalities and show (using a similar idea) how each of them implies a result regarding the rate of convergence of a corresponding symmetrization process.

If time permits, we will also discuss a new version of the Prekopa-Leindler inequality, related to the Polarity transform A, defined by Artstein-Avidan and Milman, and it’s relation to Busemann’s inequality.