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DTSTART:19700329T010000
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CATEGORIES:Mordell Lectures
SUMMARY:Notions of entropy in ergodic theory and represent
 ation theory - Tim Austin (Warwick)
DTSTART;TZID=Europe/London:20250501T160000
DTEND;TZID=Europe/London:20250501T170000
UID:TALK223906AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/223906
DESCRIPTION:Entropy has its origins in thermodynamics and stat
 istical mechanics.  It was explored with mathemati
 cal rigour in Shannon's work on the foundations of
  information theory\, and quickly found striking a
 pplications to ergodic theory in work of Kolmogoro
 v and Sinai. Many variants and other applications 
 have appeared in pure mathematics since\, connecti
 ng probability\, combinatorics\, dynamics and othe
 r areas.\n\n \n\nI will survey a few recent develo
 pments in this story\, with an emphasis on some of
  the basic ideas that they have in common.  I will
  focus mostly on (i) Lewis Bowen's "sofic entropy"
 \, which helps us to study the dynamics of "large"
  groups such as free groups\, and (ii) a cousin of
  sofic entropy in the world of unitary representat
 ions\, which leads to new large deviations princip
 les for tuples of random matrices.\n\nA wine recep
 tion in the Central Core will follow the lecture. 
LOCATION:MR2\, CMS
CONTACT:HoD Secretary\, DPMMS
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