Probability and Mathematical Physics Seminar

Stochastic Ricci Flow on surfaces

Speaker: Julien Dub├ędat, Columbia University

Location: Warren Weaver Hall 512

Date: Friday, March 1, 2019, 11 a.m.


The Ricci flow on a surface is an intrinsic evolution of the metric converging to a constant curvature metric within the conformal class. It can be seen as an (infinite-dimensional) gradient flow. We introduce a natural 'Langevinization' of that flow, thus constructing an SPDE with invariant measure expressed in terms of Liouville Conformal Field Theory.

Joint work with Hao Shen (Wisconsin).