# Mathematical Sciences Research Institute

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# Workshop

Inverse Problems: Theory and Applications November 08, 2010 - November 12, 2010
 Registration Deadline: November 08, 2010 about 7 years ago August 08, 2010 over 7 years ago
Parent Program: Inverse Problems and Applications
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

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

Students, recent Ph.D.'s, 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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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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 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 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 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 In Silico Manipulation of Qualitative Biological Behaviour using Sparsity Enforcing Regularization Philipp Kuegler 04:15 PM - 04:35 PM A refraction problem and Monge-Ampere type equations Cristian Gutierrez 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 Rakesh Rakesh 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 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 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 Stable determination of electromagnetic coefficients Pedro Pérez Caro 04:55 PM - 05:15 PM A Stability Result For Electric Impedance Tomography by Elastic Perturbation Eric Bonnetier
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 (University of Delaware) 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