``Brownian Motion, Harmonic Measures, and Foliations.''  

The goal of this course is to gain an understanding
of foliations from an ergodic-theoretic perspective.  
In particular, I plan to explain the ingredients of
L. Garnett's foliation ergodic theory. 

In the first half of the course we will cover the basics
of probability theory and ergodic theory, and in the
second half we will turn to more geometric issues.
We will focus throughout on the simplest examples for
which the theory is relevant, namely, foliations of
homogeneous spaces of SL(2,R); we'll also discuss the
connections there between properties of the foliations
and the dynamics of geodesic flows.  

I will present the material on as elementary a level
as possible and will assume only knowledge of measure
theory, basic functional analysis, and Riemannian 
geometry.  (A familiarity with dynamical systems will
probably be helpful, though).

The class will meet on Wednesdayss from 3:10-5:00, and
the first meeting will be held in Lunt 107 this week.

--Amie Wilkinson