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SUMMARY:Structure and dynamics of Polish groups conference
DTSTART:20180319T090000
DTEND:20180323T170000
DTSTAMP:20260510T131443Z
UID:3dc8d77c008ad8a0b50f63d5461dfe19ace5076179f9c2eda89d4a79
CATEGORIES:Conferences - Seminars
DESCRIPTION:Polish topological groups comprise all locally compact second 
 countable groups\, but also most interesting topological transformation gr
 oups such as homeomorphism and diffeomorphism groups of compact manifolds\
 , isometry groups of separable complete metric spaces\, and automorphism g
 roups of countable model theoretical structures. While all of these classe
 s had been intensively studied separately\, there has recently been great 
 progress on the general theory of non-locally compact Polish groups. The s
 ystematic study of those groups and their actions was initiated in descrip
 tive set theory\, where the emphasis was on the complexity of their orbit 
 equivalence relations. More recently\, however\, it has grown into an inde
 pendent field that has developed connections with many other areas. For ex
 ample\, the topological dynamics of automorphism groups is intimately rela
 ted with combinatorics and structural Ramsey theory\; understanding their 
 measure-preserving actions has applications to probability theory. Much pr
 ogress has been made in understanding their representations on Hilbert and
  other Banach spaces as well as developing geometric group theory in this 
 more general setting. The conference will bring together specialists on au
 tomorphism groups of model-theoretic structures\, general Polish groups\, 
 and dynamics.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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