Jihye Lee : Isoperimetric profile comparisons under integral Ricci curvature bounds

The isoperimetric profile of a Riemannian manifold describes the least boundary area needed to enclose a prescribed volume. Classical comparison theorems relate this profile to that of a model space under pointwise lower bounds on Ricci curvature. In this talk, I will discuss quantitative comparison estimates under integral Ricci curvature bounds, extending results of Morgan–Johnson and Ni–Wang.