Theory of currents and optimal transport: The Betrothed

“Doc in Progress” is pleased to introduce you to:

• Gianmarco Caldini - Master student in Mathematics - University of Trento

Abstract:Theory of currents and optimal transport: The Betrothed Introduced by de Rham and developed by Federer and Fleming in the
late fifties, the notion of current can be seen as a measure-theoretic generalization of an oriented surface.
On the other hand, optimal transport established deep connections with many fields of mathematics in the last thirty years and it served as a
model for biological and human-made systems. Extensions to the original Monge-Kantorovich framework have been studied for transportation
systems that privilege group flows rather than spread-out processes, leading to optimal transport networks with peculiar ramified structures:
this class of problems is nowadays known as branched transport.
In this seminar, I am going to give a glimpse of how the geometry of currents can be exploited to study well-posedness properties in branched
transport theory. The talk is based on a joint work with A. Marchese and S. Steinbrüchel.

The seminar will be held both in presence in Seminar Room "-1" (Povo 0) and online via Zoom.

To join the event, please contact docinprogress.unitn [at] gmail.com using an institutional e-mail address for both reserving a sit in the seminar room or obtaining login credentials.