Wednesday 5 November 2025 at 4:45 pm, as part of the Insalate di Matematica seminar cycle, Ettore Marmo (University of Milano-Bicocca) will give the following talk
Title: Cohomology rings of hyperplane and toric arrangement complements
Abstract: A complex hyperplane arrangement is a finite set of codimension one vector subspaces of a complex vector space. Many interesting topological spaces can be realized as the complement space of such an arrangement, for instance the space of configurations of n distinct points on the plane. These complement spaces have been the subject of intense studies in the last decades from a variety of points of view: topological, algebraic and combinatorial. Several results and techniques in this framework can be adapted to more general settings, for example in the case of toric arrangements, where the "ambient" complex vector space is replaced by a complex torus and the hyperplanes are replaced by kernel of monomial characters.
In this talk we will discuss some algebraic aspects regarding the cohomology rings of the complement spaces of hyperplane and toric arrangements, in particular we will be focusing on the question of whether these (graded) rings are generated by elements of degree one.
Keywords: hyperplane arrangements, toric arrangements, cohomology rings
Information to attend
The seminar will be held in Room U9-09 (U9 Building - Viale dell'Innovazione 10, Milan) and will also be available online by this link (password: insalate, 46725283 from phones).
For more information, visit the website