Diff. Geom, Math. Phys., PDE Seminar: Brendan Pass

I will discuss uniqueness and Monge solution results for multi-marginal optimal transportation problems with a certain class of cost functions; this class arises naturally in multi-agent matching problems in economics. This result generalizes a seminal result of Gangbo and \'Swi\c{e}ch on multi-marginal problems. I will also discuss some related observations about multi-marginal optimal transport on Riemannian manifolds.