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SUMMARY:Actions and homomorphisms of topological full groups
DTSTART:20171109T130000
DTEND:20171109T140000
DTSTAMP:20260920T164837Z
UID:6ea8364198fda45e4b6e8e8e989bfc16e8a237694640a06a277c36b2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Nicolas Matte Bon\n\nETH Zurich\nTo any group or pseudogroup o
 f homeomorphisms of the Cantor set one\ncan associate a larger (countable)
   group\, called the topological\nfull group. It is a complete invariant 
 of the groupoid of germs of\nthe underlying action (every isomorphism betw
 een full groups is\nimplemented by a conjugacy of the pseudogroup).\nFirst
  I'll state a result relating  the growth of the orbits of a\npseudogroup
  to a combinatorial fixed point property of its full\ngroup\, and explain 
 an application related to co-amenability and\ngrowth of Schreier graphs of
  finitely generated groups. Next I will\ndiscuss a theorem on the possible
  actions on topological full groups\non compact spaces\, and apply it to s
 how that not only isomorphisms\nbut arbitrary homomorphisms between full g
 roups are often implemented\nat the level of the groupoids. These results 
 are proven working in the\nChabauty space.
LOCATION:MA 31
STATUS:CONFIRMED
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