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Workshop

Hard Lefschetz Theorems for Polytopes and Convex Bodies

  • Thomas Wannerer (Friedrich-Schiller-Universität Jena)
E1 05 (Leibniz-Saal)

Abstract

The hard Lefschetz theorem, as proved by McMullen for the polytope algebra, plays a pivotal role in the characterization of the f-vector of simple polytopes. Together with a closely related theorem by Stanley, it serves as a prototype for a range of recent results in algebraic combinatorics that share a "hard Lefschetz" flavor. In this talk, we present analogous results for smooth convex bodies, which were obtained in recent joint work with A. Bernig and J. Kotrbatý.

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Thomas Kahle

Otto-von-Guericke-Universität

Bernd Sturmfels

Max-Planck-Institut für Mathematik in den Naturwissenschaften

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