A quantitative refinement of the linear isoperimetric inequality

開催日時
2024/11/26 火 15:00 - 16:30
場所
6号館609号室
講演者
Joseph Hoisington
講演者所属
Colby College
概要

We present a sharp, quantitative version of the linear isoperimetric inequality in complete, simply connected Riemannian manifolds subject to a negative upper curvature bound. We then discuss the role of the linear isoperimetric inequality in metric geometry and geometric group theory and several possible directions for future work related to this result.