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Arrangements and beyond: Combinatorics, geometry, topology and applications

A generalization of Dowling lattices

speaker: Christin Bibby (University of Western Ontario, London)

abstract: We are interested in certain arrangements of subvarieties on which a complex reflection group acts. We give a combinatorial description of its poset of layers (connected components of intersections) as a generalization of Dowling lattices. While these posets are not in general lattices, they still share some nice properties with Dowling and partition lattices. This combinatorial structure is an aid in trying to understand the cohomology of the complement as a representation of the complex reflection group.

timetable:
Thu 8 Jun, 15:30 - 16:10, Aula Dini
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