Filling Riemannian Manifolds with Integral Current Spaces

Event time: 
Wednesday, July 31, 2019 - 2:00pm
LOM 206
Christina Sormani
Speaker affiliation: 
Event description: 
After defining Riemannian manifolds and Integral Current Spaces I will define the Filling Volume of their boundaries.  This is a notion first introduced by Gromov and then adapted in joint work with Wenger and with Portegies.  I will present sequences of Riemannian manifolds whose volumes remain bounded uniformly away from 0 but whose filling volumes converge to 0.