Magnetic Brunn-Minkowski and Borell-Brascamp-Lieb inequalities on Riemannian manifolds

Series
Analysis Seminar
Time
Wednesday, October 30, 2024 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 005
Speaker
Rotem Assouline – Weizmann Institute of Science – rotemassouline@gmail.comhttps://www.weizmann.ac.il/math/klartag/group-members
Organizer
Galyna Livshyts

I will present a magnetic version of the Riemannian Brunn-Minkowski and Borell-Brascamp-Lieb inequalities of Cordero-Erausquin-McCann-Schmuckenschläger and Sturm, replacing geodesics by minimizers of a magnetic action functional. Both results involve a notion of magnetic Ricci curvature.