Contents
Outline
[Photos]
» Excursion (August 1)
» Reception Party (August 2)
- Schedule:
- July 30 - August 3, 2012
- Venue:
- Room 3-309, Faculty of Science Building #3, Hokkaido University, Sapporo
- Organizers:
- L. Ambrosio (Pisa), Y. Giga（Tokyo）, P. Rybka (Warsaw）, Y. Tonegawa (Sapporo)
- Course Lecturers:
- L. Ambrosio (Pisa)
- Y. Brenier (Nice)
- R. Jerrard (Toronto)
- Y. Brenier (Nice)
- Invited Speakers:
- A. Chambolle (Palaiseau)
- W. Gangbo (Atlanta)
- P. Guidotti (Irvine)
- P. Mucha (Warsaw)
- M. Novaga (Padova)
- D. Pallara (Lecce)
- N. Wickramasekera (Cambridge)
- W. Gangbo (Atlanta)
- Program:
- Course Lecturers & Main Themes:
- Luigi Ambrosio: Gradient flows in metric spaces and in the space of probability measures » Abstract
Yann Brenier: Optimal Transport » Abstract
Robert Jerrard: Dynamics of vortices and other topological defects in nonlinear field theories » Abstract
- July 30 (Monday)
- 09:00-09:50 Registration
- 09:50-10:00 Opening
- 10:00-10:50 Luigi Ambrosio (Scuola Normale Superiore)
- (Lecture I) Metric formulations of gradient flows: Energy Dissipation Inequalities and Evolution Variational Inequalities
- 11:10-12:00 Yann Brenier (Université de Nice)
- (Lecture I) Optimal transport of densities
- 14:00-14:50 Robert Jerrard (University of Toronto)
- (Lecture I) Overview, and parabolic equations
- 15:10-16:10 Diego Pallara (Università del Salento)
- Bounded variation functions in Hilbert spaces and related semigroups » Abstract
- 16:30- Poster Session
- July 31 (Tuesday)
- 10:00-10:50 Luigi Ambrosio (Scuola Normale Superiore)
- (Lecture II) Convergence of the Euler scheme and existence results
- 11:10-12:00 Yann Brenier (Université de Nice)
- (Lecture II) Optimal incompressible transport
- 14:00-14:50 Robert Jerrard (University of Toronto)
- (Lecture II) Wave equations and timelike minimal surfaces
- 15:10-16:10 Wilfrid Gangbo (Georgia Institute of Technology)
- A variational problem involving a polyconvex integrand » Abstract
- 16:30-17:30 Matteo Novaga (University of Padova)
- Variational problems in infinite dimensional spaces » Abstract
- August 1 (Wednesday)
- 10:00-11:00 Antonin Chambolle (Ecole Polytechnique) » Abstract
- Some non-local curvature evolutions
- 11:30-12:30 Patrick Guidotti (University of California, Irvine)
- Nonlinear Diffusions and Image Processing » Abstract
- 12:30- Free Time (Excursion: optional)
- August 2 (Thursday)
- 10:00-10:50 Luigi Ambrosio (Scuola Normale Superiore)
- (Lecture III) The theory of gradients in metric measure spaces
- 11:10-12:00 Yann Brenier (Université de Nice)
- (Lecture III) Optimal transport of divergence-free vector fields
- 14:00-14:50 Robert Jerrard (University of Toronto)
- (Lecture III) Vortex dynamics in nonlinear Schrodinger equations
- 15:10-16:10 Piotr Mucha (University of Warsaw)
- Models of sudden directional diffusion » Abstract
- 16:30-17:30 Neshan Wickramasekera (University of Cambridge)
- Higher multiplicity in minimal submanifolds » Abstract
- 18:00-20:00 Reception Party
- August 3 (Friday)
- 10:00-10:50 Luigi Ambrosio (Scuola Normale Superiore)
- (Lecture IV) Heat flow and gradient flow of the entropy in metric measure spaces
- 11:10-12:00 Yann Brenier (Université de Nice)
- (Lecture IV) Perspectives and open problems
- 14:00-14:50 Robert Jerrard (University of Toronto)
- (Lecture IV) Stability of binormal curvature flow
- 15:10-15:50 Discussion
- 15:50- Closing
- Poster:
- » poster.pdf (9.4MB)
- Co-sponsorship:
Research Center for Integrative Mathematics in Hokkaido University
http://www.math.sci.hokudai.ac.jp/center/en/