Topology Seminar: Patrick Reynolds

  • Date: 11/09/2011
  • Time: 15:00
Patrick Reynolds

University of British Columbia


Minimal algebraic laminations and arational trees


Abstract:Associated to a tree T in the boundary of Outer space is a symbolic dynamical system called the dual lamination of T, denoted L^2(T).  We develop a two-part inductive procedure for studying L^2(T).  One part is known: it is a slight generalization of the Rips machine as developed by Coulbois-Hilion; the other part is new: it is a generalization of the classical Rauzy-Veech induction.  As an application we characterize trees T for which L^2(T) is minimal.  As a further application we give a description of the Gromov boundary of the complex of free factors: it is the space of measure classes of arational trees. (Jointly with T.  Coulbois and A. Hilion.)

Other Information: 

Location: WMAX 216


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