Convexity Seminar

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Non-traditional optimal transport

Speaker: Shay Sadovsky, NYU Courant

Location: Warren Weaver Hall 1302

Date: Tuesday, November 25, 2025, 11 a.m.

Synopsis:

In the classical theory of optimal mass transport, cafes in the measure space of cafes must, given a cost function c, buy croissants from the measure space of bakeries, with lowest total cost to the cafes. This is the traditional problem of optimal transport. If the cost is allowed to attain the value infinity, this problem, known as the non-traditional problem of optimal transport, becomes much harder to solve (and sometimes impossible). In this talk we will go into detail describing optimal transport, the difference between the traditional and non-traditional setting, the associated non-traditional cost, and a necessary condition for a solution to exist. We will present the general scheme of the proof, and our new methods.

Based on joint work with Shiri Artstein-Avidan and Katarzyna Wyczesany