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SUMMARY:Brownian motion on Riemannian Manifolds and Riemann surfaces - Mat
 this Lehmkuehler
DTSTART:20180315T130000Z
DTEND:20180315T140000Z
UID:TALK103129@talks.cam.ac.uk
CONTACT:Loren E. Held
DESCRIPTION:Brownian motion in two dimensions is conformally invariant whi
 ch allows us to define Brownian motion (up to time reparametrisation) on R
 iemann surfaces without having to pick a metric. After discussing this con
 struction in some detail\, I will talk about the relationship of this obje
 ct to Brownian motion on Riemannian manifolds and we will then have a clos
 er look at properties of Brownian motion and Brownian bridges on Riemann s
 urfaces. Covering space theory and the uniformisation theorem for Riemann 
 surfaces will allow as to study global properties (like the homotopy class
 ) of these random paths.
LOCATION:MR13
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