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Elliptic and Hyperbolic Equations on Singular Spaces
Oct 27, 2008 to Oct 31, 2008

Organizer(s)

Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch
To apply for funding, you must register by Fri, Sep 12 2008.
This workshop will focus on the study of PDEs on singular spaces and their connections with the spaces' underlying geometry. Topics will be cohomology theory, index theory, and spectral geometry on the elliptic side; and wave propagation and associated inverse problems on the hyperbolic. A unifying theme will be asymptotic expansions of solutions in various regimes, as for instance high frequency eigenfunction expansions, which draws techniques from hyperbolic equations into the elliptic theory.

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 CGMS66 in the “Guest Comment” box, and provide requested information
The cut-off date for reservations is October 10, 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: BP0000. The cut-off date for reservations is September 26, 2008.

Funding

To apply for funding, you must register by Fri, Sep 12 2008. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented 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.
Schedule
Monday, October 27, 2008
9:30AM - 10:30AM Giles Lebeau A Probabilistic Viewpoint [Video available]
11:00AM - 12:00PM Andrew Hassell Restriction theorems on asymptotically conic manifolds [Video available]
2:00PM - 3:00PM Gregory Eskin Inverse hyperbolic problems and optical(acoustic)black holes. [Video available]
3:30PM - 4:30PM Steven Zelditch The Cauchy problem for the homogeneous Monge Ampere geodesic equation [Video available]
Tuesday, October 28, 2008
9:30AM - 10:30AM Daniel Tataru Global parametrices and decay for wave and Schroedinger evolutions on asymptotically flat backgrounds [Video available]
11:00AM - 12:00PM Nicolas Burq "The resonant Hermite-Schr\"odinger equation on the sphere" [Video available]
2:00PM - 3:00PM Mark Stern Minimal Energy Yang-Mills connections and interpolating instantons. [Video available]
3:30PM - 4:30PM Tanya Christiansen "The scattering matrix, sojourn times, and an inverse problem for planar waveguide [Video available]
Wednesday, October 29, 2008
9:30AM - 10:30AM Colin Guillarmou Millson formula for infinite volume case, and the odd zeta Selberg function. [Video available]
11:00AM - 12:00PM Rafe Mazzeo "Flexibility of singular Einstein metrics'' [Video available]
Thursday, October 30, 2008
9:30AM - 10:30AM Marius Mitrea Boundary Problems for the Laplacian in Convex Domains [Video available]
11:00AM - 12:00PM Robin Graham 11 dimensional supergravity and asymptotically hyperbolic scattering [Video available]
2:00PM - 3:00PM Bert-Wolfgang Schulze "The Iterative Structure of Corner Operators" [Video available]
Friday, October 31, 2008
9:30AM - 10:30AM András Vasy "Wave propagation and high energy resolvent estimates for De Sitter - Schwarzchild space [Video available]
11:00AM - 12:00PM Maciej Zworski Quantization on fractal trapped sets in scattering by convex obstacles [Video available]
12:00PM - 1:00PM Victor Ivrii Dynamics and Spectral Asymptotics [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Elliptic and Hyperbolic Equations on Singular Spaces
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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