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Invited Speakers

L. Ambrosio (Scuola Normale Superiore, Pisa)
Calculus in metric measure spaces with Ricci curvature bounded from below
Lecture Notes

M. Barlow (University of British Columbia)
Heat equation on some fractal metric spaces
Lecture Notes 1Lecture Notes 2

T. Coulhon (Université de Cergy-Pontoise)
Heat kernel estimates, Sobolev type inequalities and Riesz transform onnon-compact Riemannian manifolds

G. David (Université Paris-Sud, Orsay)
Regularity results for minimal sets
Lecture Notes

P. Hajlasz (University of Pittsburgh)
Sobolev mappings into metric spaces

V. Kapovitch (University of Toronto)
Fundamental groups of manifolds with lower Ricci curvature bounds
Lecture Notes

Y.-H. Kim (University of British Columbia)
Ma-Trudinger-Wang curvature and regularity of optimal transport

P. Koskela (University of Jyväskylä)
Quasiconformal mappings and function spaces

R. McCann (University of Toronto)
Optimal Transportation
Suggested Advance Reading

E. Milman (Technion, Haifa)
Isoperimetric, Functional and Concentration Inequalities

Y. Ollivier (CNRS, Université Paris-Sud, Orsay)
Discrete Ricci curvature with applications

F. Otto (Max Planck Institute for Mathematics in the Sciences, Leipzig)
Burgers' equation as a gradient flow on two-phase Wasserstein space
Lecture Notes

K.T. Sturm (University of Bonn)
Ricci bounds for metric measure spaces and geometric analysis