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Isoperimetric inequality for Hausdorff contents and its applications

Posted in
Speaker: 
Alexander Nabutovsky
Affiliation: 
University of Toronto/MPIM
Date: 
Thu, 2021-07-22 15:00 - 16:00
Parent event: 
MPI-Oberseminar

https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For passcode please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).
 

We will discuss the isoperimetric inequality for Hausdorff contents and compact metric spaces in (possibly infinite-dimensional) Banach spaces. We will also discuss some of its implications for systolic geometry, in particular, systolic inequalities of a new type that are true for much wider classes of non-simply connected Riemannian manifolds than Gromov’s classical systolic inequality.
Joint work with Y. Liokumovich, B. Lishak, and R. Rotman

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