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SUMMARY:Cesar Cuenca (Harvard)
DTSTART:20230420T185000Z
DTEND:20230420T195000Z
DTSTAMP:20260423T041408Z
UID:GPRTatNU/77
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GPRTatNU/77/
 ">Invariant measures of infinite-dimensional groups over finite fields</a>
 \nby Cesar Cuenca (Harvard) as part of Geometry\, Physics\, and Representa
 tion Theory Seminar\n\n\nAbstract\nIn this talk\, we study the problem of 
 characterizing the set of G-invariant measures on a space of infinite-dime
 nsional matrices over a finite field. The groups G being considered are in
 ductive limits of the finite general linear groups GL(n\, q) and the finit
 e even unitary groups $U(2n\, q^2)$ over a finite field\; our proposed pro
 blem is still open in the latter even unitary case and the talk focuses on
  it. One partial result translates the problem to the classification of po
 sitive harmonic functions on branching graphs that are Hall-Littlewood ver
 sions of the Young graph. A second partial result is the construction of a
  large class of invariant measures by means of the Hopf-algebra structure 
 on the ring of symmetric functions. The talk is based on joint work with G
 rigori Olshanski.\n
LOCATION:https://researchseminars.org/talk/GPRTatNU/77/
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