Abstracts for the Seminar
 Discrete Geometry and Combinatorics
 Fall 2016

Speaker:  Emanuele Delucchi, University of Fribourg
Title: Toric arrangements and group actions on semimatroids
Time: 2:30 PM, Monday, Dec 5, 2016
Place:  Malott 206

Abstract: Recent work of De Concini, Procesi and Vergne on vector partition functions gave a fresh impulse to the study of toric arrangements from an algebraic, topological and combinatorial point of view. In this context, which can be seen as a step beyond the successful theory of arrangements of hyperplanes, many new combinatorial structures have recently appeared in the literature, each tailored to one of the different facets of the subject. Yet, a comprehensive combinatorial framework is lacking. As a unifying structure, in this talk I will propose the study of group actions on semimatroids and of related polynomial invariants. Together with recent results, I will outline some new open problems brought to the fore by the development of this theory.

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