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BEGIN:VEVENT
UID:3a5fdb9defd9308f8303a3c276846f1f
CATEGORIES:Special Colloquium
CREATED:20220223T121527
SUMMARY:Rotation equivalence and superrigidity
DESCRIPTION:Abstract: The theory of countable Borel equivalence relations analyzes the 
 actions of countable groups on Polish spaces. The main question studied is 
 how much information is encoded by the corresponding orbit space. The amoun
 t of encoded information reflects the extent to which the action is rigid.\
 nIn this talk, we will discuss rigidity results for the action of the group
  of rational rotations on spheres in higher dimension. These are connected 
 to superrigidity results of Margulis and to Zimmer's program about the acti
 ons of discrete subgroups of Lie groups on manifolds. Moreover, our methods
  provide new examples of countable Borel equivalence relations, and give a 
 new proof of a fundamental theorem of Adams and Kechris about Borel complex
 ity.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract: The theory of countable Borel equivalence relations analyzes t
 he actions of countable groups on Polish spaces. The main question studied 
 is how much information is encoded by the corresponding orbit space. The am
 ount of encoded information reflects the extent to which the action is rigi
 d.</p><p>In this talk, we will discuss rigidity results for the action of t
 he group of rational rotations on spheres in higher dimension. These are co
 nnected to superrigidity results of Margulis and to Zimmer's program about 
 the actions of discrete subgroups of Lie groups on manifolds. Moreover, our
  methods provide new examples of countable Borel equivalence relations, and
  give a new proof of a fundamental theorem of Adams and Kechris about Borel
  complexity.</p>
CONTACT:Filippo Calderoni, University of Illinois at Chicago
DTSTAMP:20260829T003004
DTSTART;TZID=America/New_York:20220301T120000
DTEND;TZID=America/New_York:20220301T130000
SEQUENCE:0
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