Mathematics Colloquium

SPEAKER: Prof. Kenneth Knox, UTK

TITLE: The convergence theory of Riemannian manifolds with boundary under geometric bounds.

ABSTRACT: After surveying some convergence theorems for compact Riemannian manifolds

and compact Riemannian manifolds with boundary, we will discuss some new work on the convergence theory of Riemannian manifolds with boundary. As an application of the new convergence theory, we will discuss some `geometric stability theorems' that can be thought of as generalizations of the classical rigidity theory associated to isometric immersions of surfaces into Euclidean space.

Refreshments will be available @3:10 p.m.