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SUMMARY:David Kerr (Münster)
DTSTART:20220111T140000Z
DTEND:20220111T160000Z
DTSTAMP:20260423T023045Z
UID:WienGAGT/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WienGAGT/7/"
 >Entropy\, orbit equivalence\, and sparse connectivity</a>\nby David Kerr 
 (Münster) as part of Vienna Geometry and Analysis on Groups Seminar\n\n\n
 Abstract\nIt was shown a few years ago by Tim Austin that if an orbit equi
 valence between probability-measure-preserving actions of finitely generat
 ed amenable groups is integrable then it preserves entropy. I will discuss
  some joint work with Hanfeng Li in which we show that the same conclusion
  holds for the maximal sofic entropy when the acting groups are countable 
 and sofic and contain an amenable w-normal subgroup which is not locally v
 irtually cyclic\, and that it is moreover enough to assume that the Shanno
 n entropy of the cocycle partitions is finite (what we call Shannon orbit 
 equivalence). One consequence is that two Bernoulli actions of a group in 
 the above class are Shannon orbit equivalent if and only if they are conju
 gate.\n
LOCATION:https://researchseminars.org/talk/WienGAGT/7/
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