Talk on 'Riemannian geometry of the diffeomorphism group'

On 15 December at 14:00 Martins Bruveris from Brunel University London will give a talk on 'Riemannian geometry of the diffeomorphism group'.

Abstract

This talk will survey the relationship between right-invariant Riemannian metrics on the diffeomorphism group and PDEs. We will concentrate in particular on Euler's equations for incompressible fluids, which correspond to geodesics on the volume-preserving diffeomorphism group. Afterwards we will discuss some mathematical results about the Riemannian geometry of diffeomorphism groups with Sobolev metrics, in particular completeness results.

Bio

Martins Bruveris is currently a lecturer at Brunel University London. His research interests are infinite-dimensional Riemannian geometry, shape spaces and diffeomorphism groups as well as applications thereof.