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SUMMARY:Tits alternative for the Cremona group
DTSTART:20230509T151500
DTEND:20230509T170000
DTSTAMP:20260509T203704Z
UID:9352666400e1753f5959f159e77e2f6d6549c6a9806c806730b9194a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Stéphane Lamy (Université Paul Sabatier\, Toulouse)\nA group
  G satisfies the Tits alternative if any subgroup contains either a free g
 roup over 2 generators\, of a solvable group of finite index.\nThe classic
 al result by Jacques Tits is that the linear groups satisfy this alternati
 ve\, up to restricting to finitely generated subgroups in the case of a gr
 ound field of positive characteristic.  \nIn this talk I will explain the
  strategy of proof to show that the plane Cremona group also satisfies the
  Tits alternative.\nIt will essentially be a survey of previous results by
  Cantat and Urech\, with a few contributions by myself mainly for the case
  of positive characteristic\, and also for the classification of torsion s
 ubgroups.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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