SMS scnews item created by Kevin Coulembier at Tue 29 Oct 2019 1919
Type: Seminar
Distribution: World
Expiry: 7 Jan 2020
Calendar1: 29 Nov 2019 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Algebra Seminar: Braid groups of normalizers of reflection subgroups
Auth: kevinc@cpe-18-99.dsl.onthenet.net (kcou7211) in SMS-WASM

# Algebra Seminar: Henderson -- Henderson: Braid groups of normalizers of reflection subgroups

Anthony Henderson (University of Sydney)

Friday 29 November, 12-1pm, Place: Carslaw 375

Title: Braid groups of normalizers of reflection subgroups

Abstract: Various results are known about the normalizers of reflection subgroups in a
complex reflection group.  At the most basic level, in certain situations it is known
that the normalizer is a semidirect product of the reflection subgroup and a
complementary subgroup.  Ivan Marin gave a topological definition of a group which
should be thought of as the braid group of such a normalizer, and raised the question of
whether it has a similar semidirect product decomposition.  In joint work with Thomas
Gobet and Ivan Marin, we show that this holds in the Coxeter case but not in general.
One corollary is a standard basis for the Hecke algebra associated to the normalizer of
a standard parabolic subgroup in a finite Coxeter group.


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