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Workshop

Inverse Problems: Theory and Applications November 08, 2010 - November 12, 2010
Registration Deadline: November 08, 2010 about 14 years ago
To apply for Funding you must register by: August 08, 2010 over 14 years ago
Parent Program:
Organizers Liliana Borcea (Rice University), Carlos Kenig (University of Chicago), Maarten de Hoop (Purdue University), Peter Kuchment (Texas A&M University), Lassi Paivarinta (University of Helsinki), and Gunther Uhlmann* (University of Washington)
Speaker(s)

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Description
Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth processes, and modelling in the life sciences. The speakers in the workshop will cover a broad range of the most recent developments in the theory and applications of inverse problems. Bibliography   Please see the the schedule below for abstracts.The abstracts of all invited talks are in the attachement of the Welcome. The abstracts of contributed talks are to be found in the attachement of each talk. 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 Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is October 22, 2010. 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: MSRIINVERSEPROBLEMS. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is October 7, 2010. The rate is $139 per night plus tax. New, completely renovated Hotel Shattuck Plaza has rooms available for you! MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri10.        
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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Nov 08, 2010
Monday
09:25 AM - 09:40 AM
  Welcome
09:40 AM - 10:25 AM
  Imaging with intensities only
George Papanicolaou (Stanford University)
10:25 AM - 10:55 AM
  Tea
10:55 AM - 11:40 AM
  Hybrid Inverse Problems in Optics
Guillaume Bal (University of Chicago)
11:40 AM - 12:25 PM
  Generalized Polarization Tensors: Mathematics and Applications
Hyeonbae Kang
12:25 PM - 02:00 PM
  Lunch
02:00 PM - 02:30 PM
  Reconstructing Electromagnetic Obstacles by the Enclosure Method
Ting Zhou (Northeastern University)
02:30 PM - 03:00 PM
  Scattering rigidity for analytic manifolds with a magnetic field
Pilar Herreros (Pontificia Universidad Católica de Chile)
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  MSRI-Evans Lecture @ UC Berkeley Evens Hall
Liliana Borcea (Rice University)
Nov 09, 2010
Tuesday
09:30 AM - 10:15 AM
  Biomechanical Imaging in Tissue - Using Frequency Dependent Data
Joyce McLaughlin
10:15 AM - 10:45 AM
  Tea
10:45 AM - 11:30 AM
  Stability of inverse problems for heat and wave equations and the collapse of the dimension
Matti Lassas (University of Helsinki)
11:30 AM - 12:15 PM
  Consecutive time reversal in wave equation imaging
Frank Natterer
12:15 PM - 01:45 PM
  Lunch
01:45 PM - 02:30 PM
  Thermoacoustic and Photoacoustic Tomography with a variable continuous or discontinuous sound speed
Plamen Stefanov
02:30 PM - 03:00 PM
  Spectral and resonant uniqueness of radial potentials
Hamid Hezari (University of California, Irvine)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:00 PM
  The Inverse Calderón's Problem for Schroedinger Operators on Riemann Surfaces
Leo Tzou (University of Sydney)
04:15 PM - 04:35 PM
  A refraction problem and Monge-Ampere type equations
Cristian Gutiérrez (Temple University)
04:15 PM - 04:35 PM
  In Silico Manipulation of Qualitative Biological Behaviour using Sparsity Enforcing Regularization
Philipp Kuegler
04:35 PM - 04:55 PM
  A boundary value transformation for an inverse problem arising in magnetometry
Dmitry Glotov
04:35 PM - 04:55 PM
  Uniqueness And Stability For The Inverse Conductivity Problem with Internal Data
Faouzi Triki
04:55 PM - 05:15 PM
  Boundary Control Approach to Inverse Problems on Graphs
Sergei Avdonin
04:55 PM - 05:15 PM
  Regularization with sparsity constraints and impedance tomography
Peter Maass
05:15 PM - 07:00 PM
  Reception
Nov 10, 2010
Wednesday
09:30 AM - 10:15 AM
  Robust principal component analysis and other advances in low-rank matrix modeling some theory and some applications
Emmanuel Candes (Stanford University)
10:15 AM - 10:45 AM
  Tea
10:45 AM - 11:30 AM
  Spectral rigidity of ellipses among \(C^{\infty}\) plane domains with the ellipse symmetry
Steven Zelditch (Northwestern University)
11:30 AM - 12:15 PM
  Wave propagation on asymptotically De Sitter and Anti-de Sitter spaces
Andras Vasy (Stanford University)
12:15 PM - 01:45 PM
  Lunch
01:45 PM - 02:30 PM
  A phase space method for traveltime tomography
Hong-Kai Zhao (University of California, Irvine)
02:30 PM - 03:00 PM
  Uncertainty quantification in resistor network inversion
Fernando Guevara Vasquez (University of Utah)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:00 PM
  Resistor networks and optimal grids for electrical impedance tomography with partial boundary measurements
Alexander Mamonov (University of Houston)
04:15 PM - 04:35 PM
  Inverse Scattering from Cusp
Isozaki Hiroshi
04:35 PM - 04:55 PM
  Restricted Uniqueness and Stability For a Formally Determined Hyperbolic Inverse Problem with a point source
04:55 PM - 05:15 PM
  Quantitative photoacoustic imaging of multiple coefficients with multiwavelength data
Kui Ren
Nov 11, 2010
Thursday
09:30 AM - 10:15 AM
  Exploring the limits of visibility in Calderon's inverse problem
Kari Astala (University of Helsinki)
10:15 AM - 10:45 AM
  Tea
10:45 AM - 11:30 AM
  Waveform-Diverse Moving-Target Spotlight Synthetic-Aperture Radar
Margaret Cheney (Colorado State University)
11:30 AM - 12:15 PM
  Reconstruction in the Calderón Problem with Partial Data
Adrian Nachman (University of Toronto)
12:15 PM - 01:45 PM
  Lunch
01:45 PM - 02:30 PM
  Inverse problems for the anisotropic Maxwell equations
Mikko Salo (University of Jyväskylä)
02:30 PM - 03:00 PM
  Propagation through trapped sets and semiclassical resolvent estimates
Kiril Datchev (Purdue University)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:00 PM
  Some problems of thermoacoustic tomography (TAT)
Linh Nguyễn (University of Idaho)
04:15 PM - 04:35 PM
  Inverse hyperbolic problems and black holes
Gregory Eskin
04:15 PM - 04:35 PM
  Lipschitz stability for the electrical impedance tomography problem: the complex case
Elena Beretta
04:35 PM - 04:55 PM
  Inverse problem for a parabolic system with three components by measurements of one component
Assia Benabdallah
04:35 PM - 04:55 PM
  Inverse Problems with Partial Data in a Slab
Xiaosheng Li
04:55 PM - 05:15 PM
  A Stability Result For Electric Impedance Tomography by Elastic Perturbation
Eric Bonnetier
04:55 PM - 05:15 PM
  Stable determination of electromagnetic coefficients
Pedro Pérez Caro
Nov 12, 2010
Friday
09:30 AM - 10:15 AM
  Barbara Romanowicz - Recent advances in full waveform global seismic tomography of the earth's mantle
10:15 AM - 10:45 AM
  Tea
10:45 AM - 11:30 AM
  A Model Error Approximation Method for NonLinear Tomography Problems
Simon Arridge
11:30 AM - 12:15 PM
  Transmission Eigenvalues in Inverse Scattering Theory
Fioralba Cakoni (Rutgers University)
12:15 PM - 01:45 PM
  Lunch
01:45 PM - 02:30 PM
  Decoupling of modes for the elastic wave equation in media of limited smoothness
Hart Smith (University of Washington)
02:30 PM - 03:15 PM
  Mathematical Problems in the diagnosis and treatment of disease
David Isaacson
03:15 PM - 03:45 PM
  Tea