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SUMMARY:On diagonal group actions\, trees and continued fractions in  posi
 tive characteristic - Frédéric Paulin (Université Paris Saclay)
DTSTART:20170425T090000Z
DTEND:20170425T100000Z
UID:TALK72222@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:If R\, k and K are the polynomial ring\, fraction field and La
 urent series field in one variable over a finite field\, we prove that the
  continued fraction expansions of Hecke sequences of quadratic irrationals
  in K over k behave in sharp contrast with the zero characteristic case. T
 his uses the ergodic properties of the action of the diagonal subgroup of 
 PGL(2\,K) on the moduli space PGL(2\,K)/PGL(2\,R) and the action of the la
 ttice PGL(2\,R) on the Bruhat-Tits tree of PGL(2\,K). (Joint work with Uri
  Shapira)<br>
LOCATION:Seminar Room 2\, Newton Institute
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