skip to content
 

On diagonal group actions, trees and continued fractions in positive characteristic

Presented by: 
Frédéric Paulin Université Paris-Sud 11
Date: 
Tuesday 25th April 2017 - 10:00 to 11:00
Venue: 
INI Seminar Room 2
Abstract: 
If R, k and K are the polynomial ring, fraction field and Laurent 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. This 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 lattice PGL(2,R) on the Bruhat-Tits tree of PGL(2,K). (Joint work with Uri Shapira)
The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons