Young-Heon Kim

The special Lagrangian equation (SLE) is a fully nonlinear elliptic PDE that originates in the work of Harvey and Lawson on calibrated geometries. The question whether a viscosity solution to the SLE is smooth (or at least has minimal gradient graph)...

Weighting methods are essential tools for estimating causal effects in observational studies, with the goal of balancing pre-treatment covariates across treatment groups. Traditional approaches pursue this objective indirectly, for example, via...

Thursday, March 12 9:30 am: Start 9:30 am - 10:30 am: Nassif Ghoussoub (University of British Columbia) Title: Skew-linear entropies, Kantorovich operators and their ergodic theory Abstract: Kantorovich operators are non-linear extensions of Markov...

Abstract: Recent advances in experimental methodologies and large-scale community efforts have led to an explosion of single-cell genomics and imaging data, creating a need for new analytical frameworks capable of extracting meaningful structure and...

Event Agenda Wednesday, November 5th, 2025 09:25 – 09:30 Opening Remarks 09:30 – 10:30  Title TBA Benjamin Jourdain, CERMICS, École Nationale des Ponts et Chaussées 10:30 – 11:00 Coffee Break 11:00 – 11:35  Title TBA Yao Xie, Georgia Institute of...

Schedule 09:00am - 10:00am: Marco Cuturi 10:00am - 10:30am: coffee break 10:30am - 11:00am: Andrew Warren 11:00am - 11:30am: Rentian Yao 11:30am - 12:00pm: Jakwang Kim 12:00pm - 01:00pm: Lunch (sandwich) 01:00pm - 01:30pm: Sybille Marcotte 01:30pm -...

This special session is organized by the PIMS kantorovich Initiative (kantorovich.org) which is dedicated towards research in the mathematics of Monge-Kantorovich optimal transport and its numerous applications to multiple areas of mathematics...

Optimal Transport theory emerged more than two centuries ago as an engineering problem posed by Gaspard Monge just before the French revolution. Its rich mathematical structure was first revealed by the Russian Nobel-prize winner Kantorovich during...

The determinant of the Laplacian is a global Riemannian invariant which is defined formally as the product of the nonzero eigenvalues of the Laplacian of a given Riemannian metric. It gives a continuous function on the space of Riemannian metrics. In...

The theory of optimal transport is concerned with phenomena arising when one matches two mass distributions in a most economic way, minimizing transportation cost of moving mass from one location to another. We consider an optimal transportation...