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Exterior Differential Systems and the Method of Equivalence |
| May 05, 2008 to May 09, 2008 |
| Organized By: Jeanne Clelland, William F. Shadwick (Chair) and George Wilkens |
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| Participant List: |
| View a List of Registered Participants |
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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) |
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Schedule |
Monday May 5, 2008 |
| 09:30AM - 10:30AM |
Robert Bryant |
Riemannian Foliations in Space Forms
(See Abstract) |
| 10:30AM - 11:00AM |
Tea in the Lobby
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| 11:00AM - 12:00PM |
Joseph Landsberg,
Colleen Robles |
Rigidity of projective homogeneous varieties and Lie algebra cohomology
(See Abstract) |
| 12:00PM - 02:00PM |
Lunch
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| 02:00PM - 03:00PM |
Keizo Yamaguchi |
Contact Geometry of Second Order
(See Abstract) |
| 03:00PM - 04:00PM |
Tea
|
| 04:00PM - 05:00PM |
Michael Eastwood |
Prolongation on Contact Manifolds
(See Abstract) |
Tuesday May 6, 2008 |
| 09:30AM - 10:30AM |
Ana Cascon,
William Shadwick |
The Geometry of Probability Distributions: A New Central Limit Theorem
(See Abstract) |
| 10:30AM - 11:00AM |
Tea
|
| 11:00AM - 12:00PM |
Shankar Sastry : Parking cars with N trailers and Nonholonomy: reflections on the applications of BC3G
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| 12:00PM - 01:30PM |
Lunch
|
| 01:30PM - 02:30PM |
Pawel Nurowski |
GL(2,R) geometry of ODEs
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| 02:30PM - 03:30PM |
Hubert Goldschmidt |
Infinitesimal isospectral deformations of symmetric spaces of compact type
(See Abstract) |
| 03:00PM - 03:30PM |
Tea
|
| 04:00PM - 05:00PM |
MSRI Biology Colloquia: Talk by Dr. Garrett Odell in the Simons Auditorium at MSRI's Chern Hall
(See Abstract) |
Wednesday May 7, 2008 |
| 09:30AM - 10:30AM |
Niky Kamran |
Wave equations and the Penrose process in Kerr geometry
(See Abstract) |
| 10:30AM - 11:00AM |
Tea
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| 11:00AM - 12:00PM |
Thomas Ivey |
Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
(See Abstract) |
| 12:00PM - 06:30PM |
Open Afternoon
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| 06:30PM - 09:30PM |
Robert Bryant,
Patrick Eberlein,
William Shadwick |
Banquet in memory of Robby Gardner @ The Great China Restaurant, Berkeley Guests of honor: Harolyn and Kirsten Gardner. Dinner registration form (PDF)
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Thursday May 8, 2008 |
| 09:30AM - 10:30AM |
Peter Vassiliou |
Geometric Aspects of differential equations in the work of Robert B. Gardner
(See Abstract) |
| 10:30AM - 11:00AM |
Tea
|
| 11:00AM - 12:00PM |
Vladimir Matveev |
Integrals quadratic in velocities and solution of two problems of Sophus Lie
(See Abstract) |
| 12:00PM - 02:00PM |
Lunch
|
| 02:00PM - 03:00PM |
Christine Scharlach |
Symmetries for Cubic Forms and Adapted Frames
(See Abstract) |
| 03:00PM - 04:00PM |
Tea
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| 04:00PM - 05:00PM |
Phillip Griffiths |
(Math Dept Colloquium) Exterior Differential Systems in Algebraic Geometry
(See Abstract) |
Friday May 9, 2008 |
| 09:30AM - 10:30AM |
Jeanne Clelland |
Sub-Finsler geometry in dimensions three and four
(See Abstract) |
| 10:30AM - 11:00AM |
Tea
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| 11:00AM - 12:00PM |
Ian Anderson |
Symmetry reduction and Darboux Integrability
(See Abstract) |
| 12:00PM - 02:00PM |
Lunch
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| 02:00PM - 03:00PM |
Kris Jenssen |
Hyperbolic Conservation Laws with Prescribed Eigencurves
(See Abstract) |
| 03:00PM - 04:00PM |
Tea
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| 04:00PM - 05:00PM |
George Wilkens |
Second-order type-changing evolution equations with first-order intermediate equations
(See Abstract) |
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Currently Available Videos |
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Robert Bryant
, Riemannian Foliations in Space Forms May 5,2008, 09:30 AM to 10:30 AM
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Colleen Robles
, Rigidity of projective homogeneous varieties and Lie algebra cohomology May 5,2008, 11:00 AM to 12:00 PM
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Keizo Yamaguchi
, Contact Geometry of Second Order May 5,2008, 02:00 PM to 03:00 PM
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Michael Eastwood
, Prolongation on Contact Manifolds May 5,2008, 04:00 PM to 05:00 PM
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Ana Cascon, William Shadwick
, The Geometry of Probability Distributions: A New Central Limit Theorem May 6,2008, 09:30 AM to 10:30 AM
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Ana Cascon, William Shadwick
, The Geometry of Probability Distributions: A New Central Limit Theorem May 6,2008, 09:30 AM to 10:30 AM
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Shankar Sastry
, Parking cars with N trailers and Nonholonomy: reflections on the applications of BC3G May 6,2008, 11:00 AM to 12:00 PM
-
Pawel Nurowski
, GL(2,R) geometry of ODEs May 6,2008, 01:30 PM to 02:30 PM
-
Hubert Goldschmidt
, Infinitesimal isospectral deformations of symmetric spaces of compact type May 6,2008, 02:30 PM to 03:30 PM
-
Niky Kamran
, 09:30AM - 10:30AM Niky Kamran Wave equations and the Penrose process in Kerr geometry May 7,2008, 09:30 AM to 10:30 AM
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Thomas Ivey
, Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations May 7,2008, 11:00 AM to 12:00 PM
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| You can find videos of other workshops and events on our VMath - Streaming Video page. |
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Registration:
Please register on-line
by the deadline of
April 30, 2008
if possible.
If you are applying for funding, the funding deadline is February 29, 2008 (The funding section of the form follows the registration section of the form).
Funding: Students, recent Ph.D.'s, women, and minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available. Please see Travel funding
rules
Important: Airline travel reimbursement restrictions
For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Exterior Differential Systems and the Method of Equivalence
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA
The Institute is committed to the principles of Equal Opportunity and Affirmative Action.
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