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Summer Graduate School

Inverse Problems July 20, 2009 - July 31, 2009
Parent Program: --
Organizers Gunther Uhlmann* (University of Washington).
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Speaker(s)

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Description The SGW workshop will consist of 8 minicourses of 5 to 6 hours each that will include lectures, computer labs and problem sessions that will supplement the lectures. The minicourses will address a broad range of theoretical and practical issues arising in inverse problems including boundary rigidity and travel time tomography, cloaking and invisibility, electrical impedance imaging, statistical methods and biological applications, thermoacoustic and x-ray tomography, and resonances.


The minicourses will assume a first year graduate course in real analysis at the level of G.Folland's book "Real Analysis" including some knowledge of the Fourier transform. A basic course in partial differential equations would be helpful but it is not necessary. No background in inverse problems is assumed.

Schedule of speakers:

First week: Borcea and Guevara, Kuchment and Kunyansky, Calvetti and
Somersalo, Uhlmann

Second week: Imanuvilov, Lassas, Paivarinta and Salo, Stefanov, Zworski

Workshop details (PDF 73KB)

Schedule - Week 1 (PDF 77KB)

Schedule - Week 2 (PDF 75KB)

Summer School on Seismic Imaging

Bibliography 1 (PDF 8KB)

Bibliography 2 (PDF 14KB)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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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Jul 20, 2009
Monday
09:45 AM - 10:30 AM
  Inverse Problems - Uhlman I
Gunther Uhlmann (University of Washington)
10:45 AM - 11:45 AM
  Inverse Problems - Borcea I
Liliana Borcea (Rice University)
01:15 PM - 02:15 PM
  Inverse Problems - Kuchment I
Peter Kuchment (Texas A & M University)
02:30 PM - 03:30 PM
  Inverse Problems - Calvetti & Somersalo
Daniela Calvetti, Erkki Somersalo
04:00 PM - 05:00 PM
  Inverse Problems - Kuchment II
Peter Kuchment (Texas A & M University)
Jul 21, 2009
Tuesday
09:30 AM - 10:30 AM
  Inverse Problems - Calvetti & Somersalo II
Daniela Calvetti, Erkki Somersalo
10:45 AM - 11:45 AM
  Inverse Problems - Uhlman II
Gunther Uhlmann (University of Washington)
01:15 PM - 02:15 PM
  Inverse Problems - Borcea II
Liliana Borcea (Rice University)
02:30 PM - 03:30 PM
  Inverse Problems - Kunyansky
Leonid Kunyansky
04:00 PM - 05:00 PM
  Inverse Problems - Vazquez
Guevara Vazquez
Jul 22, 2009
Wednesday
09:30 AM - 10:30 AM
  Inverse Problems - Borcea III
Liliana Borcea (Rice University)
10:45 AM - 11:45 AM
  Inverse Problems - Calvetti & Somersalo III
Daniela Calvetti, Erkki Somersalo
01:15 PM - 02:15 PM
  Inverse Problems - Uhlman III
Gunther Uhlmann (University of Washington)
02:30 PM - 03:30 PM
  Inverse Problems - Vazquez II
Guevara Vazquez
04:00 PM - 05:00 PM
  Inverse Problems - Calvetti & Somersalo IV
Daniela Calvetti, Erkki Somersalo
Jul 23, 2009
Thursday
09:30 AM - 10:30 AM
  Inverse Problems - Kuchment III
Peter Kuchment (Texas A & M University)
10:45 AM - 11:45 AM
  Inverse Problems - Uhlman IV
Gunther Uhlmann (University of Washington)
01:15 PM - 02:15 PM
  Inverse Problems - Calvetti & Somersalo V
Daniela Calvetti, Erkki Somersalo
02:30 PM - 03:30 PM
  Inverse Problems - Calvetti & Somersalo VI
Daniela Calvetti, Erkki Somersalo
04:00 PM - 05:00 PM
  Inverse Problems - Kunyansky II
Leonid Kunyansky
Jul 24, 2009
Friday
09:30 AM - 10:30 AM
  Inverse Problems - Borcea IV
Liliana Borcea (Rice University)
10:45 AM - 11:45 AM
  Inverse Problems - Kuchment IV
Peter Kuchment (Texas A & M University)
12:00 PM - 01:00 PM
  Inverse Problems - Uhlman V
Gunther Uhlmann (University of Washington)
Jul 27, 2009
Monday
09:30 AM - 10:30 AM
  Inverse Problems- Zworski I
Maciej Zworski (University of California, Berkeley)
10:45 AM - 11:45 AM
  Inverse Problems- Päivärinta I
Lassi Päivärinta (University of Helsinki)
01:15 PM - 02:15 PM
  Inverse Problems- Stefanov I
Plamen Stefanov
02:30 PM - 03:30 PM
  Inverse Problems- Salo I
Mikko Salo (University of Jyväskylä)
04:00 PM - 05:00 PM
  Inverse Problems- Holman I
Sean Holman (Purdue University)
Jul 28, 2009
Tuesday
09:30 AM - 10:30 AM
  Inverse Problems- Päivärinta II
Lassi Päivärinta (University of Helsinki)
10:45 AM - 11:45 AM
  Inverse Problems- Imanuvilov I
Oleg Emanouilov (Imanuvilov)
01:15 PM - 02:15 PM
  Inverse Problems- Lassas I
Matti Lassas (University of Helsinki)
02:30 PM - 03:30 PM
  Inverse Problems- Zworski II
Maciej Zworski (University of California, Berkeley)
04:00 PM - 05:00 PM
  Inverse Problems- Imanuvilov II
Oleg Emanouilov (Imanuvilov)
Jul 29, 2009
Wednesday
09:30 AM - 10:30 AM
  Inverse Problems- Lassas II
Matti Lassas (University of Helsinki)
10:45 AM - 11:45 AM
  Inverse Problems- Imanuvilov III
Oleg Emanouilov (Imanuvilov)
01:15 PM - 02:15 PM
  Inverse Problems- Stefanov II
Plamen Stefanov
02:30 PM - 03:30 PM
  Inverse Problems- Stefanov III
Plamen Stefanov
04:00 PM - 05:00 PM
  Inverse Problems- Päivärinta III
Lassi Päivärinta (University of Helsinki)
Jul 30, 2009
Thursday
09:30 AM - 10:30 AM
  Inverse Problems- Päivärinta I V
Lassi Päivärinta (University of Helsinki)
10:45 AM - 11:45 AM
  Inverse Problems- Zworski III
Maciej Zworski (University of California, Berkeley)
01:15 PM - 02:15 PM
  Inverse Problems- Zworski IV
Maciej Zworski (University of California, Berkeley)
02:30 PM - 03:30 PM
  Inverse Problems- Salo II
Mikko Salo (University of Jyväskylä)
04:00 PM - 05:00 PM
  Inverse Problems- Holman II
Sean Holman (Purdue University)
Jul 31, 2009
Friday
09:30 AM - 10:30 AM
  Inverse Problems- Stefanov IV
Plamen Stefanov
10:45 AM - 11:45 AM
  Inverse Problems- Lassas III
Matti Lassas (University of Helsinki)
01:15 PM - 02:15 PM
  Inverse Problems- Zworski V
Maciej Zworski (University of California, Berkeley)