Optimal Transport on Quantum Structures (Dániel Virosztek, Tamás Titkos, Jan Maas (IST Austria), Simone Rademacher (IST Austria))
Quantum optimal transport is a flourishing research field these days with several different approaches and interpretations ranging from semi-classical to free probabilistic, and from static to dynamic, respectively.
The aim of this School and Workshop is to give an overview of the state of the art in non-commutative optimal transport.
Focus event on Modified Logarithmic Sobolev Inequalities for Quantum Markov Semigroups
The goal of this event is to study the existence of such inequalities for certain families of quantum Markov semigroups and derive applications in several contexts related to quantum information theory.
Focus Event on the Geometry of Wasserstein Spaces
The goal of this focus event is to study certain fundamental geometric properties of Wasserstein spaces and to explore further the intimate relationship between the theory of Lipschitz-free spaces and optimal transportation.