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DTSTART:20250330T030000
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DTSTAMP:20260424T143211Z
UID:68ca7ee2524b9263841551@ist.ac.at
DTSTART:20251001T153000
DTEND:20251001T163000
DESCRIPTION:Speaker: Doron Puder\nhosted by Laszlo Erdös & Uli Wagner\nAbs
 tract: Let w be a word in a free group and let G be a finite (or more gene
 rally compact) group. A w-random element of G is obtained by substituting 
 the letters of w with uniform random elements from G. For example\, if w=x
 yxy^{-2}\, the random element is ghg^{-2}\, with g and h independent unifo
 rmly random elements of G. Composing with linear representations of G\, we
  get w-random matrices. A series of works over the last decade has reveale
 d many intriguing phenomena around w-random elements in nice families of g
 roups\, such as the symmetric groups or the unitary groups. In particular\
 , many invariants of words\, some new and some well-known\, play significa
 nt roles in this theory.This story involves probability\, topology\, algeb
 ra\, combinatorics and representation theory. In the talk\, which is aimed
  at graduate students\, I will try to give a flavor of this interesting th
 eory.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Doron Puder: Invariant of words from random matrices
URL:https://talks-calendar.ista.ac.at/events/6044
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