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On the $L_p$ Brunn Minkowski theory by Professor Elisabeth Werner from Case Western Reserve University

This is a past event.

Thursday, March 24 at 3:45pm to 4:45pm

Virtual Event

Please help us welcome Professor Elisabeth Werner from Case Western Reserve University.

Abstract:The Brunn Minkowski theory, sometimes also called the theory of mixed volumes, is the very core of convex geometric analysis. It centers around the study of geometric invariants and geometric measures associated with convex bodies. A cornerstone of this theory is the classical Steiner formula.An extension of the classical Brunn Minkowski theory, the $L_p$ Brunn Minkowski theory has emerged and has evolved rapidly over the last years. It is now a central part of modern convex geometry. The $L_p$ Brunn Minkowski theory focuses on the study of affine invariants associated with convex bodies. We show an analogue of the classical Steiner formula in the context of the $L_p$ Brunn Minkowski theory. The classical Steiner formula is a special case of this more general $L_p$ Steiner formula.

Elisabeth Werner got her Ph.D. at University Paris VI in 1989. Since then, she has been at Case Western Reserve University. Her research areas include convex geometry, analysis, probability, and applications of those to approximation theory, mathematical physics, and quantum information theory. She is an elected fellow of the AMS, Inaugural Class. She has been awarded Simons Fellowship, NSF grants, and Case Faculty Distinguished Research Award, to name a few. She was also recently awarded the Caroline Herschel Visiting Professor at the University of Bochum for Summer Semester 2022.
Dr. Werner served as the Associate Director of IMA (the Institute for Mathematics and its Applications) in 2014-2015. Dr. Werner organized over 30 national and international conferences. She has directed many Ph.D. theses and supervised multiple Postdoctoral researchers. She also had over 70 high-quality research papers, which tremendously contributed to the above fields. 

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Meeting ID: 953 5729 0766

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Department of Mathematics and Statistics
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