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Optimal Transport
March 10 - June 13, 2008
Organizing Committee |
Activities |
Scientific Overview
Participation |
Application |
Contact Us
Organizing Committee
Andrea Bertozzi
(University of California, Los Angeles (UCLA), Mathematics)
Yann Brenier
(Université de Nice Sophia Antipolis)
Jose Carrillo
(Autonomous University of Barcelona, ICREA)
Wilfrid Gangbo
(Georgia Institute of Technology)
Peter Markowich
(University of Cambridge, Department of Applied Mathematics and Theoretical Physics)
Jean-Michel Morel
(École Normale Supérieure de Cachan, CMLA)
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Activities
- Orientation Day at May's Landing (by invitation only). March 10, 2008.
- Optimal Transport: Tutorials. March 11 - 14, 2008.
- Workshop I: Aspects of Optimal Transport in Geometry and Calculus of Variations. March 31 - April 4, 2008.
- Workshop II: Numerics and Dynamics for Optimal Transport. April 14 - 18, 2008.
- Workshop III: Transport Systems in Geography, Geosciences, and Networks. May 5 - 9, 2008.
- Workshop IV: Optimal Transport in the Human Body: Lungs and Blood. May 19 - 23, 2008.
- Mini-Workshop: Entropies and Optimal Transport in Quantum Mechanics. June 5 - 6, 2008.
- Culminating Workshop at Lake Arrowhead (by invitation only). June 8 - 13, 2008.
There will be an active program of research activities, seminars and
workshops throughout the period and core participants will be in residence
at IPAM continuously for these fourteen weeks. The program will open with
tutorials, and will be punctuated by four major workshops and a culminating
workshop at UCLA's Lake Arrowhead Conference Center. Several distinguished
senior researchers will be in residence for the entire period. Between the
workshops there will be a program of activities involving the long-term and
short-term participants, as well as visitors.
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Scientific Overview
The general problem of irrigation and transportation in physics and
biology is to transport in the most economical way a source mass
distribution onto a fixed well distribution. Both source and wells
distributions are usually modeled as positive measures in a Cartesian space
or in a metric space. This problem can be looked at as a generalization of
the optimal assignment or the optimal flow problem in operational research,
in which case the subjacent space is a fixed graph. In the new more general
setting, the irrigation network is itself an unknown of the problem. The
examples are manifold: lungs, blood vessels, irrigation or draining
networks, natural or artificial. On the side of urban optimization, the
question ranges from the optimization of the supply networks (power, water,
wires) to the public transportation and traffic optimization problem. The
simplest and more noble and antique version of the problem is the
Monge-Kantorovich problem, where the cost assigned to transportation is just
an increasing function of distance. Fluid mechanics arguments have to be
added as soon as the transportation network is optimized with a
flow-dependent cost as is natural in most of the above mentioned situation:
the thicker the vessel, the road, the channel, the wire etc., the cheaper
the transportation.
The aim of the workshop is to put together physicists, biologists,
mathematicians working on the optimization of transportation networks.
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Participation
This long-term program will
involve a community of senior and junior researchers. The intent is for long-term
participants to have an opportunity to learn about the mathematics of
optimal transport from the perspective of multiple fields and to meet a
diverse group of people and have an opportunity to form new collaborations. In
addition to these activities, there will be opening tutorials, four
workshops, and a culminating workshop at Lake Arrowhead.
Full and partial support for long-term participants is available, and
those interested are encouraged to fill out an online application at the
bottom of this page. Support for individual workshops will also be
available, and may be applied for through the online application for each
workshop. We are especially interested in applicants who are interested in
becoming core participants and participating in the entire program (March 10 - June 13, 2008),
but give consideration to applications for shorter periods. Funding for
participants is available at all academic levels, though recent PhD's,
graduate students, and researchers in the early stages of their career are
especially encouraged to apply.
Encouraging the careers of women and minority mathematicians and
scientists is an important component of IPAM's mission and we welcome their
applications.
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Contact Us:
Institute for Pure and Applied Mathematics (IPAM)
Attn: OT2008
460 Portola Plaza
Los Angeles CA 90095-7121
Phone: 310 825-4755
Fax: 310 825-4756
Email: ipam@ucla.edu
Website:
http://www.ipam.ucla.edu/programs/ot2008/
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