Valuations on convex sets and integral geometry.

Department of Mathematics Colloquium

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Stephanie Geyer, Wen-Ching W. Li.

Speaker: Semyon Alesker, Tel Aviv University and Kent State University

Abstract: The theory of valuations originates in convex geometry.Valuations are finitely additive measures on convex compact subsets of a finite dimensional vector space. Valuations continuous in the Hausdorff metric play a special role, and we will concentrate in the talk on this class of valuations. In recent years there was a considerable progress in the theory and its applications. We will describe some of the progress with particular focus on the multiplicative structure on valuations and its applications to kinematic formulas of integral geometry


Room Reservation Information

Room Number: 114 McAllister

Date: 02/21/2019

Time: 3:30pm - 4:30pm