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SUMMARY:Daniel Allcock (UT Austin)
DTSTART:20200526T150000Z
DTEND:20200526T153000Z
DTSTAMP:20260423T003250Z
UID:GaTO/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/9/">Big
  mapping class groups fail the Tits alternative</a>\nby Daniel Allcock (UT
  Austin) as part of Geometry and topology online\n\n\nAbstract\nLet \\(S\\
 ) be a surface with infinitely many\npunctures\, or infinitely many handle
 s\, or containing a disk\nminus Cantor set.  (This accounts for almost all
  infinite-type\nsurfaces.)  Then the mapping class group of S fails to sat
 isfy\nthe Tits alternative.  Namely\, we construct a finitely\ngenerated s
 ubgroup which is not virtually solvable and\ncontains no free group of ran
 k greater than one.  The\nGrigorchuk group is a key element in the constru
 ction.\n
LOCATION:https://researchseminars.org/talk/GaTO/9/
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