XXXVI Workshop on Geometric Methods in Physics 2-8.07.2017
VI School on Geometry and Physics 26-30.06.2017

Gerard Misiolek

Information Geometry on diffeomorphism groups

I will describe an infinite-dimensional analogue of the Fisher-Rao metric on the quotient space of the group of diffeomorphisms of a compact Riemannian manifold by the subgroup of volume-preserving diffeomorphisms. Time permitting I will also describe Amari-Chentsov connections and the associated nonlinear PDE.

Event sponsored by:
Centre de recherches mathématiques          University
of Bialystok
University of Bialystok

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