30 participants joined this workshop, which was held on 5 and 6 May 2011 at UNSW. The aim of the workshop was to foster interactions between specialists in analytic and probabilistic methods in differential geometry and the theory of partial differential equations on manifolds including stochastic PDEs for manifold-valued processes. This aim was fully achieved with 10 invited speakers from Australia, Luxembourg, and UK presenting recent developments in stochastic analysis on manifolds and symmetric spaces, stochastic mean curvature flows, stochastic Landau-Lifschitz equation, complex Monge-Ampere equations, optimal transportation, heat flows of harmonic maps and Virasoro curves. We also had a strong representation of PhD students.

Invited speakers:

Z. Brzezniak, York, Strong solutions to stochastic Landau-Lifshitz equations in a ferromagnetic wire

T. Dooley, UNSW, Levy-Khintchine formulae on symmetric spaces

D. Elworthy, Warwick, Stochastic Analysis and Topology of Manifolds 

J. Grotowski, UQ, Two-dimensional harmonic map heat flow versus four-dimensional Yang-Mills heat flow

R. Moser, Bath, Analytic aspects of the Landau-Lifshitz equation

A. Thalmaier, Luxembourg, Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric

T. Tran, UNSW, Numerical methods for Landau-Lifschitz-Gilbert equations

N. Trudinger, ANU, Regularity and convexity in optimal transportation

H. Weber, Warwick, Stochastically perturbed Allen-Cahn equation and Mean Curvature Flow

Z. Zhang, USyd, Homogeneous complex Monge-Ampere equation over Grauert tube for Szoke's spheres.

Poster Presentations:

Xiaopeng Chen, Center Manifolds for Stochastic Evolutionary Equations

For additional information, please contact Ben Goldys, B.Goldys@unsw.edu.au

                     Supported by the Australian Mathematical Sciences Institute