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Exterior Differential Systems and the Method of Equivalence May 05, 2008 - May 09, 2008
Registration Deadline: April 30, 2008 about 15 years ago
To apply for Funding you must register by: February 05, 2008 over 15 years ago
Parent Program: --
Organizers Jeanne Clelland, William F. Shadwick (Chair) and George Wilkens

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February 1908 marks the 100th anniversary of the publication of Elie Cartan's paper Les Sous-Groupes des Groupes Continus de Transformations and the introduction to the Method of Equivalence–Cartan's tremendously powerful machinery for uncovering geometry. Thanks in large part to the contributions of two subsequent masters of this mathematics, S.-S. Chern and Robby Gardner, Cartan's Method of Equivalence and his theory of Exterior Differential Systems have found applications from pure mathematics to mechanics, engineering, and computer science. This workshop brings together leading practitioners in Exterior Differential Systems and the Method of Equivalence to explore recent developments including: the study of Riemannian submersions, holonomy, almost complex manifolds, representation theory and mathematical physics, integrable systems and conservation laws, partial differential equations, including Backlund transformations and solitons, control theory and a new central limit theorem. May 2008 also marks the 10th anniversary of Robby Gardner’s untimely death and this workshop is held in his honor. Acknowledgements: photos of Chern and Gardner by George Bergman; design by Concrete Design Communications Inc. Accommodations: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on “Reservations and Availability” then click on “Corporate” at the bottom of the screen and enter the word “math”. Enter Group Code CGMS59 in the “Guest Comment” box, and provide requested information The cut-off date for reservations is April 8, 2008. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: BJ0000. The cut-off date for reservations is April 4, 2008. Session Chairmen (PDF 23KB)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
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May 05, 2008
09:30 AM - 10:30 AM
  Riemannian Foliations in Space Forms
Robert Bryant (Duke University)
11:00 AM - 12:00 PM
  Rigidity of projective homogeneous varieties and Lie algebra cohomology
Colleen Robles
02:00 PM - 03:00 PM
  Contact Geometry of Second Order
Keizo Yamaguchi
04:00 PM - 05:00 PM
  Prolongation on Contact Manifolds
Michael Eastwood (Australian National University)
May 06, 2008
09:30 AM - 10:30 AM
  The Geometry of Probability Distributions: A New Central Limit Theorem
Ana Cascon (Omega Analysis), William Shadwick (Institute of Pure and Applied Mathematics (IMPA))
11:00 AM - 12:00 PM
  Parking cars with N trailers and Nonholonomy: reflections on the applications of BC3G
Shankar Sastry
01:30 PM - 02:30 PM
  GL(2,R) geometry of ODEs
Pawel Nurowski
02:30 PM - 03:30 PM
  Infinitesimal isospectral deformations of symmetric spaces of compact type
Hubert Goldschmidt
May 07, 2008
09:30 AM - 10:30 AM
  09:30AM - 10:30AM Niky Kamran Wave equations and the Penrose process in Kerr geometry
Niky Kamran (McGill University)
11:00 AM - 12:00 PM
  Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
Thomas Ivey
May 08, 2008
09:30 AM - 10:30 AM
  Geometric Aspects of differential equations in the work of Robert B. Gardner
Peter Vassiliou
11:00 AM - 12:00 PM
  EDS and the Method of Equivalence Lines and Asymptotic Lines of Projective Varieties
Joseph Landsberg (Texas A&M International University)
02:00 PM - 03:00 PM
  Symmetries for Cubic Forms and Adapted Frames
Christine Scharlach
May 09, 2008
09:30 AM - 10:30 AM
  Sub-Finsler geometry in dimensions three and four
Jeanne Clelland (University of Colorado)
11:00 AM - 12:00 PM
  Symmetry Reduction and Darboux Integrability
Ian Anderson
12:00 PM - 01:00 PM
  Integrals quadratic in velocities and solution of two problems of Sophus Lie
Vladimir Matveev
02:00 PM - 03:00 PM
  Hyperbolic Conservation Laws with Prescribed Eigencurves
Kris Jenssen
04:00 PM - 05:00 PM
  Second-order type-changing evolution equations with first-order intermediate equations
George Wilkens (University of Hawaii at Manoa)