MATH Seminar

Title: Filling invariants at infinity
Seminar: Topology
Speaker: Pallavi Dani of Louisiana State University
Contact: Aaron Abrams, abrams@mathcs.emory.edu
Date: 2010-11-17 at 2:00PM
Venue: MSC E408
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Abstract: The $k$-dimensional isoperimetric function of a space captures the difficulty of filling $k$-spheres with $(k+1)$-balls in the space. Once one understands the isoperimetric functions of a space, it is interesting to study how they change when an obstruction is introduced. In this spirit, Brady and Farb introduced the notion of ``filling invariants at infinity'', by considering the volume required to fill spheres in Hadamard manifolds, provided both the sphere and the filling are far from a fixed basepoint. I will talk about a group theoretic version of this concept, and describe joint work with Aaron Abrams, Noel Brady, Moon Duchin and Robert Young on the case of right-angled Artin groups.