“Sharp isoperimetric, Sobolev and log-Sobolev inequalities in $CD(0,N)$ spaces via OMT”
Speaker:
Zoltan Balogh, University of Bern
Date and Time:
Thursday, November 17, 2022 - 4:15pm to 5:00pm
Location:
Fields Institute, Room 230
Abstract:
OMT is a powerful tool that can be used to prove various geometric inequalities in the setting of non-smooth spaces.
In this talk I will show how this works in the framework of $CD(0, N)$ spaces with asymptotic volume growth at infinity.
As a result we obtain sharp isoperimetric, Sobolev and log-Sobolev inequalities.
