Workshop I: Aspects of Optimal Transport in Geometry and Calculus of Variations - IPAM

Workshop I: Aspects of Optimal Transport in Geometry and Calculus of Variations

Part of the Long Program Optimal Transport
March 31 - April 4, 2008

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 31, 2008

Morning Session

08:00-08:45
Check-In/Light Breakfast (Hosted by IPAM)
08:45-09:00
Welcome and Opening Remarks
09:00-09:50
David Kinderlehrer (Carnegie-Mellon University)
Modeling transport at small scales and related issues
10:00-10:15
Break
10:15-11:05
Irene Gamba (University of Texas at Austin)
Probability evolution for complex multi-linear non-local interactions
11:15-11:30
Break
11:30-12:20
Boris Khesin (University of Toronto)
A nonholonomic Moser theorem and subriemannian submersion

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Martial Agueh (University of Victoria)
A class of total variation minimization problems on the whole space
15:30-16:00
Break
16:00-16:50
Karl Sturm (Universität Bonn)
Title not available
17:00-18:30
Reception and Poster Session (Hosted by IPAM)

Tuesday, April 1, 2008

Morning Session

08:00-08:45
Continental Breakfast
09:00-09:50
Ovidiu Savin (Columbia University)
On Monge-Amp\'ere equations with homogenous right hand side
10:00-10:15
Break
10:15-11:05
Marco Di Francesco (Università di L'Aquila)
Self-similar decay and generalizations via Optimal Transport and moment normalization. State of the art and open problems
11:15-11:30
Break
11:30-12:20
Wilfrid Gangbo (Georgia Institute of Technology)
Poisson structure and Hamiltonian ODEs on the set of probability measures

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Michael Westdickenberg (Georgia Institute of Technology)
Optimal Transport for the System of Isentropic Euler equations
15:00-15:15
Break
15:15-16:05
Adrian Tudorascu (Georgia Institute of Technology)
Euler–Poisson systems as action-minimizing paths in the Wasserstein space
16:15-16:30
Break
16:30-17:20
Panagiota Daskalopoulos (Columbia University)
On the Harmonic Mean Curvature FLow

Wednesday, April 2, 2008

Morning Session

08:00-08:45
Continental Breakfast
09:00-09:50
Juan Vazquez (Autonomous University of Madrid)
Asymptotics of Fast Diffusion Equations by Entropy Meethods
10:00-10:15
Break
10:15-11:05
Dejan Slepcev (Carnegie Mellon University)
On a nonlocal model of biological aggregation
11:15-11:30
Break
11:30-12:20
Maria Carvalho (Rutgers University)
About the Homogeneous Cooling State for Inelastic Maxwellian Collisions

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Nassif Ghoussoub (University of British Columbia)
A new polar decomposition for vector fields
15:30-16:00
Break
16:00-16:50
Luis Caffarelli (University of Texas at Austin)
Non local minimal surfaces

Thursday, April 3, 2008

Morning Session

08:00-08:45
Continental Breakfast
09:00-09:50
Peter Markowich (Universität Wien)
Reaction-Diffusion (-Convection) Equations, Entropies and Sobolev Inequalities
10:00-10:15
Break
10:15-11:05
Gerard Misiolek (University of Notre Dame)
Singularities of the exponential map on the group of volume-preserving diffeomorphisms
11:15-11:30
Break
11:30-12:20
Klemens Fellner (University of Cambridge)
Title not available

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Giuseppe Buttazzo (Università di Pisa)
Optimal Dirichlet regions for mass transportation problems and for elliptic equations
15:30-16:00
Break
16:00-16:50
Shizan Fang (Université de Bourgogne (Dijon))
Wasserstein space over the Wiener sapce
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