Workshop
Hard Lefschetz Theorems for Polytopes and Convex Bodies
- Thomas Wannerer (Friedrich-Schiller-Universität Jena)
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.