Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

In this talk I will discuss the isoperimetric inequalities on the sphere and in Gauss space. I will show how the inequality in Gauss space can be derived from that on the sphere. I will then discuss various consequences of these inequalities in concentration of measure. I will show that our intuition in lower dimensions fails us in higher dimensions, and prove Levy's Lemma which says that "nice" functions on the sphere are "almost constant almost everywhere."