Abstract for the talk on 14.01.2022 (10:00 h)
Arbeitsgemeinschaft ANGEWANDTE ANALYSISKrzysztof Ciosmak (University of Oxford)
Optimal transport, localisation and martingales
In the first part of the talk I shall discuss an approach to the localisation technique, for spaces satisfying the curvature-dimension condition, by means of L1-optimal transport. I shall present work on a generalisation of the technique to multiple constraints setting.
In the second part I shall discuss work in progress concerning general localisation scheme, which includes both the L1-localisation and the irreducible convex paving of the martingale transport theory.