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UID:20251111T005551EST-1332eIco6k@132.216.98.100
DTSTAMP:20251111T055551Z
DESCRIPTION:Title: k-shuffle braid groups\n\nAbstract: Braid groups are kno
 wn to arise as from many places\, two of which are as the Garside group ob
 tained from the poset of non-crossing partitions\, and as the fundamental 
 group of the space of square-free complex polynomials of degree n. The lat
 ter is a K(B_n\,1) while the former can be used to build a CW-complex with
  nice combinatorial properties\, which is also a K(B_n\,1). In 2024\, McCa
 mmond and Dougherty described explicitly the homotopy allowing to go from 
 one to the other.\n\nIn this talk\, we introduce a new family of groups ca
 lled the k-shuffle braid groups. We will see how they arise in two similar
  contexts: first\, we will look at certain families of non-crossing partit
 ions and obtaining a (metric) CW-complex following classical arguments fro
 m Garside theory for Artin groups. Second\, from spaces of complex monic p
 olynomials with a certain set of prescribed regular values. We will see th
 at both spaces are classifying spaces\, and if time permits\, how to go fr
 om one to the other. Finally\, we will briefly discuss the CAT(0) property
  for the CW-complex.\n\nWe will gather for teatime in the lounge at 4pm af
 ter the talk\, and then we will go for dinner with Chloé.\n\n \n
DTSTART:20251112T200000Z
DTEND:20251112T210000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Chloé Postel-Vinay (University of Chicago)
URL:/smerg/channels/event/chloe-postel-vinay-universit
 y-chicago-368830
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