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On matrix-valued log-concave functions

Geometric functional analysis and applications November 13, 2017 - November 17, 2017

November 14, 2017 (03:30 PM PST - 04:30 PM PST)
Speaker(s): Dario Cordero-Erausquin (Sorbonne Université)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Prekopa inequality

  • Brascamp-Lieb inequality

  • convexity

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

9-Cordero-Erausquin
Abstract

In a 2013 preprint, H. Raufi obtained, using complex geometry, a matrix-valued extension of Prekopa’s theorem. I will discuss a new approach to this result, and in particular present a Brascamp-Lieb variance inequality for matrix-valued log-concave potentials.

 
Supplements
30096?type=thumb Erausquin Notes 444 KB application/pdf Download
Video/Audio Files

9-Cordero-Erausquin

H.264 Video 9-Cordero-Erausquin.mp4 615 MB video/mp4 rtsp://videos.msri.org/9-Cordero-Erausquin/9-Cordero-Erausquin.mp4 Download
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