Configuration Spaces: Geometry, Combinatorics and Topology

seminar: YOUNG SEMINAR: Homology of complex braid groups

speaker: Filippo Callegaro (University of Pisa)

abstract: I'll present some results of a work in progress in collaboration with Ivan Marin (Paris). We studied the braid groups associated to the reflection arrangements for complex reection groups. For Coxeter groups there is a 1-to-1 correspondence with Artin groups. With complex reflection groups it happens that different reflection groups can give the same braid group and it is not always clear whether two complex braid groups are isomorphic. Homology can help to distinguish some of them, in particular for the infinite family of type B(de, e, r) and we can prove some isomorphisms too, but still open problems remain.

timetable:
Fri 28 May, 18:00 - 19:00, Sala Conferenze Centro De Giorgi
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