TODAY - Geometric Structures seminar - Yaozhong Qiu - Thu Jan 29 - 14:00 - Room 005.

[Tommaso Rossi]

Dear All,

This is to remind you of today's seminar from the series "Geometric 
Structures".

*Speaker*: Yaozhong Qiu (Université Paris Nanterre)

*Title*: Isoperimetric inequalities for subriemannian analogues of the 
gaussian measure

*Abstract*: We propose a family of probability measures defined on a 
stratified Lie group, as well as on the Grushin and Heisenberg-Greiner 
spaces, which may be considered an analogue of the gaussian measure. As 
evidence, we show such measures satisfy an approximate (up to a 
constant) isoperimetric inequality, which is degenerate in the sense 
there is a mismatch between the decay of tails and isoperimetric 
profiles, and we show in two cases the corresponding approximate 
isoperimetric extremisers can be interpreted as a generalisation of a 
half-space. Along the way we will discuss some literature surrounding 
functional inequalities for probability measures in subriemannian 
settings, aspects of the proof, and finally a discussion on subsequent 
questions.


More information can be found here: 
https://researchseminars.org/seminar/Geometric_Structures_SISSA