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SUMMARY:On the volume product of sets and functions: a survey on some of t
 he latest results
DTSTART:20260413T120000Z
DTEND:20260413T130000Z
DTSTAMP:20260412T160100Z
UID:indico-event-15268@indico.math.cnrs.fr
DESCRIPTION:Speakers: Matthieu Fradelizi (LAMA -Université Gustave Eiffel
 )\n\nI shall present the classical Blaschke-Santalo inequality and Mahler
 ’s conjecture on the volume product of convex sets as well as their func
 tional extensions. I shall insist on a few recent results: \n - a proof o
 f a general Mahler’s functional form of the conjecture in dimension two 
 obtained with Elie Nakhle\, \n - a functional form of Blaschke-Santalo in
 equality for the Legendre transform using the heat semigroup co-authored w
 ith Dario Cordero-Erausquin and Dylan Langharst\, which generalises to gen
 eral functions a previous result of Nakamura and Tsuji\n - the Blaschke-Sa
 ntalo inequality for multiple even functions due to Nakamura and Tsuji as 
 an application of a new type of inverse Brascamp-Lieb inequalities for eve
 n functions extending previous results of Barthe and Wolff.\n\nhttps://ind
 ico.math.cnrs.fr/event/15268/
LOCATION:Salle Pellos (1R2-207)
URL:https://indico.math.cnrs.fr/event/15268/
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