## Choose timezone

Your profile timezone:

Séminaire de Mathématique
# Topology and combinatorics of Toric arrangements

→
Europe/Paris

Amphitéâtre Léon Motchane (Institut des Hautes Etudes Scientifiques)
### Amphitéâtre Léon Motchane

#### Institut des Hautes Etudes Scientifiques

Bois-Marie
35, route de Chartres
91440 Bures-sur-Yvette

Description

A toric arrangement is given by a family A of level sets of characters of a complex torus T. The focus of this talk will be on the topology of the complement M:=T \ A, and in particular on the extent to which M is determined by the combinatorial data of the arrangement A, a line of research recently revived by work of De Concini and Procesi.

I will first present some basics about toric arrangements, and then hint at how a theoretical framework can be developed in parallel to the theory of hyperplane arrangements. In particular, I will describe combinatorial models for the homotopy type of M and explain the methods we use in our proof of minimality, and thus of torsion-freeness, of M.

This is mostly joint work with Giacomo d'Antonio.

Contact