Geometric Structures seminar - Rotem Assouline - Thu Apr 23 - 14:00 - Room 004

[Tommaso Rossi]

Dear All,

This is to announce the next seminar from the series "Geometric 
Structures". Please note the unusual room.

*Date and venue*: Thu Apr 23, 14:00, Room 004

*Speaker*: Rotem Assouline (Sorbonne Université)

*Title*: Curvature-Dimension for autonomous Lagrangians

*Abstract*: In this talk, we will see how the celebrated connection 
between Ricci curvature, optimal transport, and geometric inequalities 
such as the Brunn-Minkowski inequality, extends to the setting of 
autonomous Tonelli Lagrangians on weighted manifolds. As applications, 
we will state a generalization of the horocyclic Brunn-Minkowski 
inequality to complex hyperbolic space of arbitrary dimension, as well 
as a new Brunn-Minkowski inequality for contact magnetic geodesics on 
odd-dimensional spheres. The main technical tool is a generalization of 
Klartag's needle decomposition technique to the Lagrangian setting.


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