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7 Novembre, 2024 15:30 in punto
Sezione di Geometria, Algebra e loro applicazioni

Secondary fans of hypersimplices

Laura Casabella, Max Planck Institute Leipzig
Aula seminari III piano
Abstract

The secondary fan of a polytope stratifies the regular subdivisions of the polytope and provides a combinatorial framework to understand them. We compute this fan for specific polytopes, namely the hypersimplices (2,7) and (3,6). In this case, there are connections to tropical geometry, matroid theory and finite metric spaces. We also find new families of rays of the secondary fan of general hypersimplices. This is joint work with Michael Joswig and Lars Kastner.