BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4//
BEGIN:VEVENT
UID:20250919T064753EDT-1930a92fSz@132.216.98.100
DTSTAMP:20250919T104753Z
DESCRIPTION:Title: The distribution of traces of powers of matrices over fi
 nite fields.\n\nAbstract: Consider a random N by N unitary matrix chosen a
 ccording to Haar measure. A classical result of Diaconis and Shashahani sh
 ows that traces of low powers of this matrix tend in distribution to indep
 endent centered gaussians as N grows. A result of Johansson shows that thi
 s converge is very fast -- superexponential in fact. Similar results hold 
 for other classical compact groups. This talk will discuss analogues of th
 ese results for N by N matrices taken from a classical group over a finite
  field\, showing that as N grows traces of powers of these matrices equidi
 stribute superexponentially. A little surprisingly\, the proof is connecte
 d to the distribution in short intervals of certain arithmetic functions i
 n F_q[T].\n	\n	This is joint work with O. Gorodetsky.RésuméConsider a random
  N by N unitary matrix chosen according to Haar measure. A classical resul
 t of Diaconis and Shashahani shows that traces of low powers of this matri
 x tend in distribution to independent centered gaussians as N grows. A res
 ult of Johansson shows that this converge is very fast -- superexponential
  in fact. Similar results hold for other classical compact groups. This ta
 lk will discuss analogues of these results for N by N matrices taken from 
 a classical group over a finite field\, showing that as N grows traces of 
 powers of these matrices equidistribute superexponentially. A little surpr
 isingly\, the proof is connected to the distribution in short intervals of
  certain arithmetic functions in F_q[T].\n	\n	This is joint work with O. Gor
 odetsky.\n
DTSTART:20190214T190000Z
DTEND:20190214T200000Z
LOCATION:LB 921-4 9th floor\, CA\, Concordia University
SUMMARY:Brad Rodgers (Queens University)
URL:/mathstat/channels/event/brad-rodgers-queens-unive
 rsity-294455
END:VEVENT
END:VCALENDAR