Dear all, we are pleased to announce the next appointment of the joint UNIPI-SNS Geometric Analysis Seminar. Next week the speaker is Averil Aussedat, a member of our Math Department. Tuesday, February 24, 11:30, Aula Bianchi - SNS Title: Locality of the centred Wasserstein tangent cone Abstract: Wasserstein geodesics in the space of measures are minimizing an integral cost, that is, a global compromise between local contributions. We show that a particular subset of geodesics is instead characterized by a local condition, which is linked to a decomposition of the initial measure in pieces of "constant dimension''. This has already been observed in smooth cases by Lott, and justified using PDEs: our argument is almost only based on convex analysis, and does not need restriction on the measure.