Home /  Elliptic and Hyperbolic Equations on Singular Spaces


Elliptic and Hyperbolic Equations on Singular Spaces October 27, 2008 - October 31, 2008
Registration Deadline: October 17, 2008 over 15 years ago
To apply for Funding you must register by: July 27, 2008 almost 16 years ago
Parent Program:
Organizers Gilles Carron, Eugenie Hunsicker, Richard Melrose, Michael Taylor, Andras Vasy and Jared Wunsch

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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 <a data-cke-saved-href="\" href="\&quot;http://www.rosegardeninn.com/" \"="">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.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, 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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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Oct 27, 2008
09:30 AM - 10:30 AM
  A Probabilistic Viewpoint
Giles Lebeau
11:00 AM - 12:00 PM
  Restriction theorems on asymptotically conic manifolds
Andrew Hassell (Australian National University)
02:00 PM - 03:00 PM
  Inverse hyperbolic problems and optical(acoustic)black holes.
Gregory Eskin
03:30 PM - 04:30 PM
  The Cauchy problem for the homogeneous Monge Ampere geodesic equation
Steven Zelditch (Northwestern University)
Oct 28, 2008
09:30 AM - 10:30 AM
  Global parametrices and decay for wave and Schroedinger evolutions on asymptotically flat backgrounds
Daniel Tataru (University of California, Berkeley)
11:00 AM - 12:00 PM
  "The resonant Hermite-Schr\"odinger equation on the sphere"
Nicolas Burq (Université Paris-Saclay)
02:00 PM - 03:00 PM
  Minimal Energy Yang-Mills connections and interpolating instantons.
Mark Stern
03:30 PM - 04:30 PM
  "The scattering matrix, sojourn times, and an inverse problem for planar waveguide
Tanya Christiansen (University of Missouri)
Oct 29, 2008
09:30 AM - 10:30 AM
  Millson formula for infinite volume case, and the odd zeta Selberg function.
Colin Guillarmou (Université Paris-Saclay)
11:00 AM - 12:00 PM
  "Flexibility of singular Einstein metrics''
Rafe Mazzeo (Stanford University)
Oct 30, 2008
09:30 AM - 10:30 AM
  Boundary Problems for the Laplacian in Convex Domains
Marius Mitrea (University of Missouri)
11:00 AM - 12:00 PM
  11 dimensional supergravity and asymptotically hyperbolic scattering
Robin Graham
02:00 PM - 03:00 PM
  "The Iterative Structure of Corner Operators"
Bert-Wolfgang Schulze
Oct 31, 2008
09:30 AM - 10:30 AM
  "Wave propagation and high energy resolvent estimates for De Sitter - Schwarzchild space
Andras Vasy (Stanford University)
11:00 AM - 12:00 PM
  Quantization on fractal trapped sets in scattering by convex obstacles
Maciej Zworski (University of California, Berkeley)
12:00 PM - 01:00 PM
  Dynamics and Spectral Asymptotics
Victor Ivrii