|Location:||MSRI: Simons Auditorium|
Given a measure on R^n, the isoperimetric inequality asks for a sharp lower bound on the surface area of a set in terms of its measure. The classic case is the case of the Lebesgue measure, where the isoperimetric minimizers are Euclidean balls.
For some measures an isoperimetric inequality can be deduced from a suitable generalized Brunn-Minkowski inequality. We will discuss such generalized inequalities and their use in proving isoperimetric inequalities. The goal is to present both old results (due to Borell in the 1970's) and newer results (due to E. Milman and myself).
The talk is meant to be accessible to people from both programs.No Notes/Supplements Uploaded No Video Files Uploaded