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SUMMARY:Reflection length in affine Coxeter groups
DTSTART;VALUE=DATE-TIME:20180426T120000Z
DTEND;VALUE=DATE-TIME:20180426T130000Z
DTSTAMP;VALUE=DATE-TIME:20190626T115359Z
UID:indico-event-3430@indico.math.cnrs.fr
DESCRIPTION:Affine Coxeter groups have a natural presentation as reflectio
n groups on some affine space. Hence the set R of all its reflections\, th
at is all conjugates of its standard generators\, is a natural (infinite)
set of generators. Computing the reflection length of an element in an aff
ine Coxeter group means that one wants to determine the length of a minima
l presentation of this element with respect to R. In joint work with Joel
Brewster Lewis\, Jon McCammond and T. Kyle Petersen we were able to provid
e a simple formula that computes the reflection length of any element in a
ny affine Coxeter group. In this talk I would like to explain this formula
\, give its simple uniform proof and allude to the geometric intuition beh
ind it.\n\nhttps://indico.math.cnrs.fr/event/3430/
LOCATION:bât. Braconnier 112
URL:https://indico.math.cnrs.fr/event/3430/
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