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UID:20250807T172118EDT-1461un7Evn@132.216.98.100
DTSTAMP:20250807T212118Z
DESCRIPTION:Title: Shi arrangements in Coxeter groups\n\nAbstract: Given an
  arbitrary Coxeter system (W\,S) and a nonnegative integer m\, the m-Shi a
 rrangement of (W\, S) is a subarrangement of the Coxeter hyperplane arrang
 ement of (W\,S). The classical Shi arrangement (m = 0) was introduced in t
 he case of affine Weyl groups by Shi to study Kazhdan-Lusztig cells for W.
  As two key results\, Shi showed that each region of the Shi arrangement c
 ontains exactly one element of minimal length in W and that the union of t
 heir inverses form a convex subset of the Coxeter complex. The set of m-lo
 w elements in W were introduced to study the word problem of the correspon
 ding Artin-Tits (braid) group and they turn out to produce automata to stu
 dy the combinatorics of reduced words in W. In this talk\, I will discuss 
 how to Shi’s results extend to any Coxeter system and show that the minima
 l elements in each Shi region are in fact the m-low elements. This talk is
  based on joint work with Matthew Dyer\, Susanna Fishel and Alice Mark.\n
 \nWe will gather for teatime in the lounge after the talk.\n\n \n
DTSTART:20250205T210000Z
DTEND:20250205T220000Z
LOCATION:Room 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Christophe Hohlweg (UQAM)
URL:/mathstat/channels/event/christophe-hohlweg-uqam-3
 63053
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