School of Mathematics, Statistics and Physics

Seminar Item

Pure Maths (Algebra and Geometry) - Brent Everitt (York)

Arrangements and their homology

Date/Time: Monday 23 November, 1.30pm - Algebra and Geometry Seminar

Venue: Zoom


An arrangement is a finite collection of hyperplanes in a vector space over some field. An ancient theorem of Lusztig says that if the arrangement consists of all the hyperplanes in a vector space over a finite field, then a certain brand of homology vanishes in all but the top and bottom degrees. This talk gives an overview of different things that the phrase "(co)homology of an arrangement" might mean, and finishes by generalizing Lusztig's result.