Optimal Transport and the Calculus of Variations

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Optimal Transport and the Calculus of Variations

 11 - 15 Dec 2023

ICMS, Bayes Centre, Edinburgh


Scientific Organisers:

  • David Bourne, Heriot-Watt University
  • Alpár Mészáros , Durham University
  • Lucia Scardia, Heriot-Watt University


The aim of this meeting is to bring together experts in the theory of optimal transport and the calculus of variations, with a focus on nonlinear PDEs, gradient flows, and problems with low regularity and singularities. We will discuss a range of applications including fluid mechanics, materials science, pattern formation and optimal control.

This workshop is funded by EPSRC Network on Generalised and Low-Regularity Solutions of Nonlinear Partial Differential Equations


The deadline to apply for this workshop has now passed. All applicants were notified of outcomes on Friday 3 November. No late applications will be accepted.

Please note, invited speakers will receive an email invitation directly from ICMS and should not apply on this webpage.

​Scam Warning

We are aware of a very convincing scam targeting participants in mathematical research events. These scammers may telephone or email you and tell you that they are organising accommodation in Edinburgh for you on behalf of ICMS. If you are approached by a third party (eg travellerpoint.org) asking for booking or payment details, please ignore. ICMS will never ask you for credit/debit card information. If we are booking accommodation for you, the email will come from ICMS, never a third party. It seems the scammers are picking up speaker names from workshop webpages so please be vigilant if you are attending other workshops elsewhere next year. This is not the only workshop and ICMS is not the only institute to be targeted. These scammers were prolific before the pandemic and would now appear to be back in business.


09:00 – 09:50 Registration
09:50 – 10:00 Welcome and Housekeeping
10:00 – 11:00 Guillaume Carlier, Université Paris Dauphine Displacement smoothness of entropic optimal transport and applications
11:00 – 11:30 Coffee Break
11:30 – 12:30 Thomas Gallouët, Inria Paris TBC
12:30 – 14:30 Lunch and discussions
14:30 – 15:30 Bernhard Schmitzer, Göttingen University Barycenters for the Hellinger-Kantorovich distance
15:30 – 16:30 Megan Griffin-Pickering, University College London
16:30 – 17:00 Coffee Break
17:00 – 18:00 Roger Moser, University of Bath Analysis of Néel walls in thin ferromagnetic films
09:30 – 10:30 Quentin Mérigot, Université Paris-Saclay
10:30 – 11:00 Coffee Break
11:00 – 12:00 Michael Goldman, Université Paris Diderot From local energy bounds to dimensional estimates in a reduced model for type-I superconductors
12:00 – 13:00 Eva Kopfer, University of Bonn Homogenisation of discrete dynamical optimal transport
13:00 – 15:30 Lunch and discussions
15:30 – 16:30 Riccardo Tione, Max Planck Institute, Leipzig On the Lawson-Osserman conjecture
16:30 – 17:30 Xavier Lamy, Université Paul Sabatier On the stability of Möbius transforms of the n-sphere
09:30 – 10:30 Lia Bronsard, McMaster University Patterns in tri-block copolymers: double-bubbles, core-shells and a new partitioning problem
10:30 – 11:00 Coffee Break
11:00 – 12:00 Filippo Santambrogio, Université Claude-Bernard Lyon 1 Strong H^2 convergence of the JKO scheme for the Fokker-Planck equation
12:00 – 13:00 Alessio Porretta, Università di Roma Tor Vergata Transport, diffusion and mean field games
13:00 Lunch
09:30 – 10:30 Manuel del Pino, University of Bath Dynamics of concentrated vorticities in 2d and 3d Euler flows
10:30 – 11:30 Chloé Jimenez, Université de Bretagne Occidentale Looking through Wasserstein's glasses and Hilbertian glasses to a muti-agent optimal control problem and the associated Hamilton-Jacobi equation
11:30 – 12:00 Coffee Break
12:00 – 13:00 Jean-Marie Mirebeau, ENS Paris-Saclay Discretizations of anisotropic PDEs using Voronoi's reduction of quadratic forms
13:00 – 15:00 Lunch and discussions
15:00 – 16:00 Mateusz Majka, Heriot-Watt University
16:00 – 17:00 Giuseppe Savaré, Bocconi University Geodesic convexity of entropy functionals in Hellinger-Kantorovich metric
09:30 – 10:30 Yann Brenier, Université Paris-Saclay Gravitational models related to fluid mechanics and optimal transport
10:30 – 11:00 Coffee Break
11:00 – 12:00 Matthew Thorpe, University of Warwick Manifold Learning in Wasserstein Space
12:00 – 13:00 John Ball, Heriot-Watt University Image comparison and scaling via nonlinear elasticity
13:00 Lunch