Leaf decompositions in Euclidean spaces

Abstract: In the talk I shall discuss an approach to the localisation technique, for spaces satisfying the curvature-dimension condition, by means of L1-optimal transport. Moreover, I shall present recent work on a generalisation of the technique to multiple constraints setting. Applications of the theory lie in functional and geometric inequalities, e.g. in the Lévy-Gromov isoperimetric inequality.

algebraic geometrydifferential geometrymetric geometrysymplectic geometry

Audience: researchers in the topic

Oxford Geometry and Analysis Seminar