Presented By: Department of Mathematics
Geometry
Diffeomorphism groups and nonlinear PDE in Information Geometry
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 discuss Amari-Chentsov connections and the associated nonlinear PDE. Speaker(s): Gerard Misiolek (Notre Dame)
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