Speaker: Denis Lyskov，Université Paris Cité

Inviter: Vladimir Dotsenko

Title: Hyperplane arrangements and oriented matroids

Language: English

Time & Venue: 2026.10.26 14:30-15:30 南楼N820

Abstract: In 1987, Salvetti proved that the homotopy type of the complement of a complexified real linear hyperplane arrangement is determined by the combinatorics of the regions cut out by its hyperplanes. In modern terminology, this combinatorial information is encoded by an oriented matroid. Moreover, degenerations of hyperplane arrangements correspond to weak maps of oriented matroids. In this talk, we explore this correspondence in greater detail and construct new families of posets that are weakly homotopy equivalent to such complements. This talk is based on joint work with Basile Coron.