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Elliptic and Hyperbolic Equations on Singular Spaces

October 27, 2008 to October 31, 2008
Organized By: Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch
 
Parent Programs:
Analysis on Singular Spaces
 
Participant List:
View a List of Registered Participants
 
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.
 

Follow this link to read about the new U.S. visa requirements

 

Schedule

Monday October 27, 2008

09:30AM - 10:30AM  Giles Lebeau a probabilistic view point
10:30AM - 11:00AM  Coffee, Tea in the Atrium
11:00AM - 12:00PM  Andrew Hassell Restriction theorems on asymptotically conic manifolds    (See Abstract)
12:00PM - 02:00PM  Lunch
02:00PM - 03:00PM  Gregory Eskin Inverse hyperbolic problems and optical(acoustic)black holes.    (See Abstract)
03:00PM - 03:30PM  Coffee, tea in the atrium
03:30PM - 04:30PM  Steven Zelditch The Cauchy problem for the homogeneous Monge Ampere geodesic equation    (See Abstract)

Tuesday October 28, 2008

09:30AM - 10:30AM  Daniel Tataru Global parametrices and decay for wave and Schroedinger evolutions on asymptotically flat backgrounds    (See Abstract)
10:30AM - 11:00AM  Coffee, Tea in the atrium
11:00AM - 12:00PM  Nicolas Burq "The resonant Hermite-Schr\"odinger equation on the sphere"    (See Abstract)
12:00PM - 02:00PM  LUNCH
02:00PM - 03:00PM  Mark Stern Minimal Energy Yang-Mills connections and interpolating instantons.    (See Abstract)
03:00PM - 03:30PM  Coffee, tea in the atrium
03:30PM - 04:30PM  Tanya Christiansen "The scattering matrix, sojourn times, and an inverse problem for planar waveguide    (See Abstract)
04:45PM - 06:00PM  Reception in the atrium

Wednesday October 29, 2008

09:30AM - 10:30AM  Colin Guillarmou Millson formula for infinite volume case, and the odd zeta Selberg function.    (See Abstract)
10:30AM - 11:00AM  Coffee, Tea in the atrium
11:00AM - 12:00PM  Rafe Mazzeo ``Flexibility of singular Einstein metrics''

Thursday October 30, 2008

09:30AM - 10:30AM  Marius Mitrea Boundary Problems for the Laplacian in Convex Domains    (See Abstract)
10:30AM - 11:00AM  Coffee, Tea in the atrium
11:00AM - 12:00PM  Robin Graham 11 dimensional supergravity and asymptotically hyperbolic scattering
12:00PM - 02:00PM  LUNCH
02:00PM - 03:00PM  Bert-Wolfgang Schulze "The Iterative Structure of Corner Operators"    (See Abstract)
03:00PM - 03:30PM  Coffee, Tea in the atrium

Friday October 31, 2008

09:30AM - 10:30AM  András Vasy "Wave propagation and high energy resolvent estimates for De Sitter - Schwarzchild space
10:30AM - 11:00AM  Coffee, tea in the atrium
11:00AM - 12:00PM  Maciej Zworski Quantization on fractal trapped sets in scattering by convex obstacles
12:00PM - 01:00PM  Victor Ivrii Dynamics and Spectral Asymptotics    (See Abstract)

Currently Available Videos

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