BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:A central limit theorem in the framework of the Thompson group F -
  Arundhathi Krishnan (Mary Immaculate College)
DTSTART:20250702T143000Z
DTEND:20250702T145000Z
UID:TALK233182@talks.cam.ac.uk
DESCRIPTION:The classical central limit theorem states that the average of
  an infinite sequence of independent and identically distributed random va
 riables\, when suitably rescaled\, tends to a normal distribution. In fact
 \, this classical result can be stated purely algebraically\, using the co
 mbinatorics of pair partitions. In the 1980s\, Voiculescu proved an analog
  of the central limit theorem in free probability theory\, wherein the nor
 mal distribution is replaced by Wigner's semicircle distribution. Later\, 
 Speicher provided an algebraic proof of the free central limit theorem\, b
 ased on the combinatorics of non-crossing pair partitions. Since then\, va
 rious algebraic central limit theorems have been studied in noncommutative
  probability\, for instance\, in the context of symmetric groups. My talk 
 will discuss a central limit theorem for the Thompson group F\, and show t
 hat the central limit law of a naturally defined sequence in the group alg
 ebra of F is the normal distribution. Our combinatorial approach employs a
 bstract reduction systems to arrive at this result.&nbsp\;
LOCATION:External
END:VEVENT
END:VCALENDAR