CRM: Centro De Giorgi
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ERC Workshop on Optimal Transportation and Applications

Matching, Multi-Marginals Monge Kantorovich Problem and Barycenters in the Wasserstein Space

speaker: Guillaume Carlier (Ceremade, Université Paris Dauphine)

abstract: In the first part of the talk, we will explain how some matching problems arising in mathematical economics are intimately related to optimal transport problems. In the second part of the talk, focusing on the quadratic case, we will relate the problem to a notion of barycenters that generalizes the McCann interpolation to the case of more than two marginals. We will give existence, characterization,uniqueness and regularity results for these barycenters and will consider some examples.


timetable:
Tue 12 Oct, 10:00 - 10:50, Aula Dini
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