Yair Shenfeld (Brown University)

Title: Sectional curvature, matrix displacement convexity, and intrinsic dimensional functional inequalities

Abstract: The behavior of entropy along optimal transport flows captures the geometry of the underlying space and gives rise to important functional inequalities. In particular, the Ricci curvature and the dimension turn out to be the fundamental building blocks of this theory. I will survey these classical results and then show how an analogous theory can be developed for sectional curvature and intrinsic dimensional functional inequalities.

hybrid seminar** at Udem, Pavillon Andr茅-Aisenstadt, room 5183

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Meeting ID: 895 2873 0384

Passcode: 077937