SCIENTIFIC PROGRAMS AND ACTIVITIES

July 23, 2014

Problems and Perspectives on the Calculus of Variations: Physics, Economics, and Geometry. 20-25 August 2001

Photos of the Conference

Monday August 20
8:45-9:20 Registration and Coffee
9:20-9:30 Opening Remarks
9:30-10:20

Felix Otto, Universitäet Bonn
Lecture 1

10:25-10:50 Coffee Break
10:50-11:40 Cedric Villani, ENS Lyon
Trend to equilibrium for dissipative PDE's, mass transportation and functional inequalities
11:45-12:35 Neil Trudinger, Australian National University
Variational problems for second order functionals
12:40-2:00 Lunch Break

2:00-6:00


SHORT Click here for slides of talkS
Martial Agueh
, Georgia Institute of Technology
Existence of solutions to degenerate parabolic equations via the Monge-Kantorvich theory
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Franck Barthe, Université de Marne-la-Vallee
Fisher information for marginals

Luigi DePascale, University of Pisa
Existence of absolute minimizers in the L infinity calculus of variations

Kevin Guittet, INRIA Rocquencourt
An Hilbertian framework for the time-continuous Monge-Kantorovich problem

Thomas Kaijser, Swedish Defence Research Agency
An improvement of the primal-dual algorithm when applied to the discrete Monge-Kantorovich mass transfer problem
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Bernd Kirchheim, Max-Planck Institute
Nikodym sets and optimal transport maps
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Marcus Leven, Universitäet Bonn
Simulation of the spreading of drops
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Hamed Maroofi, Georgia Institute of Technology
Weak solution to the semigeostrophic equations in dual variables
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Jean Taylor, Rutgers University
Crystals that rotate as they shrink
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Monica Torres, University of Texas at Austin
Plane-like minimizers in periodic media

Xiangjin Xu, Johns Hopkins University
New estimates on the solutions of first order Hamiltonian systems possessing super-quadratic potentials and some applications

Ovidiu Savin, University of Texas at Austin
A free boundary problem in optimal transportation

6:00 Reception at the Fields Institute
Tuesday August 21
9:00-9:50 Yann Brenier, CNRS Nice
Lecture 1
9:55-10:25 Coffee Break
10:25-11:15 Giuseppe Buttazzo, University of Pisa
Some results and questions in mass optimization problems
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11:20-12:10 Guy Bouchitte, Université de Toulon
Optimization of light elastic structures
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12:15-2:00 Lunch Break

MINISYMPOSIUM: Transport Problems Hiding in Economic Theory
2:00-2:45 Ivar Ekeland, Université Paris-Dauphine
Mathematical problems arising from economics
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2:50-3:35 Esteban Rossi-Hansberg, University of Chicago
On the internal structures of cities
3:40-4:10 Afternoon Tea
4:10-4:55 Guillaume Carlier, Université Paris-Dauphine
Thomas Lachand-Robert, Université de Savoie
Regularity of solutions for some variational problems subject to a convexity constraint
5:00-5:45 Vladimir Levin, Central Economics and Mathematics Institute of Russian Academy of Sciences
Duality theorems for the Monge-Kantorovich problem with applications in the mathematical utility theory
6:00-6:50 Optional: Graduate student tutorial on Otto's lectures led by Mikhail Feldman & Robert McCann
Wednesday August 22
9:00-9:50 Felix Otto, Universitäet Bonn
Lecture 2
9:55-10:15 Coffee Break
10:15-11:05 John Urbas, Australian National University
Problems involving prescribed gradient
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11:10-12:00 Pengfei Guan, McMaster University
Convexity of solutions of fully nonlinear PDEs
12:05-1:00 Lunch at the Fields Institute
1:05-11:15 Excursion to Niagara Falls
Thursday August 23
9:00-9:50 Felix Otto, Universitäet Bonn
Lecture 3
9:55-10:20 Coffee Break
10:20-11:10 Gui-Qiang Chen, Northwestern University
Extended divergence-measure fields, generalized Gauss-Green formula, and nonlinear transport equations
11:15-12:05 Allen Tannenbaum, Georgia Institute of Technology
Geometric PDE methods in computer vision
12:10-2:00
1:00-1:50
Lunch Break
Optional - Graduate student brown-bag lunch on Brenier's lectures led by Wilfrid Gangbo

MINISYMPOSIUM: Mathematical Methods in Computer Vision
2:00-2:30 Kaleem Siddiqi, McGill University
Flux maximizing geometric flows
2:35-3:05 Stefano Soatto, University of California
3D shape estimation in a variational setting
3:10-3:40 Tryphon Georgiou, University of Minnesota
High resolution spectral analysis via analytic interpolation
3:40-4:05 Afternoon Tea
4:05-4:35 Steve Haker, Harvard University
Optimal mass transport and image registration
4:40-5:10 Nikolaos Paragyios, Siemens Corporate Research
A variational approach for the segmentation of the left ventricle
5:15-5:45 Anthony Yezzi, Georgia Institute of Technology
Stereoscopic segmentation: a unified framework for segmentation and surface reconstruction
7:30 Banquet at Le Select Bistro
Friday August 24
9:00-9:50 Yann Brenier, CNRS Nice
Lecture 2
9:55-10:20 Gordon Blower, Lanchester University
Almost sure convergence for the generalized orthogonal ensemble
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10:25-10:50 Coffee Break
10:50-11:40 Eric Carlen, Georgia Institute of Technology
Mass transport problems and kinetic theory
11:45-12:35 Michael Cullen, European Centre for Medium Range Weather Forecasts
The Monge-Kantorovich problem in meteorology and oceanography
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12:40-2:00 Lunch Break

MINISYMPOSIUM : Geometrical Aspects of Fluid Dynamics
2:00-2:30 Geoffrey Burton, University of Bath
Rearrangements and vortex rings
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2:35-3:05 Wayne Schubert, Colorado State University
Enstrophy minimization, entropy maximization, and mixing processes in hurricanes
3:10-3:40 Scott Fulton, Clarkson University
Potential vorticity mixing in shallow-water vortices
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3:40-4:05 Afternoon Tea
4:05-4:35 Robert Douglas, University of Wales, Aberystwyth
Polar factorisation of vector valued functions with applications
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4:40-5:10 Boris Khesin, University of Toronto
Virasoro symmetry and integrability of shallow water aproximations
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5:15-5:45 Vladimir Roubtsov, Université d'Angers
Geometric structuresof (near) SG models and Monge-Ampere equations
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Saturday August 25
9:00-9:50 Yann Brenier, CNRS Nice
Lecture 3
9:55-10:45 Luigi Ambrosio, Scuola Normale Superiore di Pisa
On the representation and regularity properties of the transport density
10:50-11:15 Coffee Break
11:15-11:45 David Jerison, MIT
Regularity of 3D energy minimizing free boundaries
11:50-12:40 Lawrence C. Evans, University of California at Berkeley
Click here for slides of talk - Quasiconvexity in the calculus of variations

Conference Closes

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