CRM: Centro De Giorgi
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Combinatorial Algebraic Topology and Applications II

(Co)homology of arrangements

speaker: Brent Everitt (University of York)

abstract: 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 giving various generalisations of Lusztig's result. The key players are (combinatorial) sheaves on posets and simplicial complexes.


timetable:
Tue 1 Oct, 14:30 - 15:30, Aula Dini
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