MSRI: Spring 2004
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Introductory Workshop in Inverse Problems and Integral Geometry
August 13 - 24, 2001
- Giovanni Alessandrini: Cracks and Other Inverse Problems with Unknown Boundaries: Geometric Critical Points
- Giovanni Alessandrini: Cracks and Other Inverse Problems with Unknown Boundaries: Some Uniqueness Results and Open Problems
- Carlos A. Berenstein: Localization of the 2-D Radon Transform
- Joseph Bernstein: Analytic Continuation of $P^{\lambda}$
- Liliana Borcea: Electrical Impedance Tomography - Part I
- Liliana Borcea: Electrical Impedance Tomography - Part II
- Liliana Borcea: Electrical Impedance Tomography - Part III
- Liliana Borcea: Electrical Impedance Tomography - Part IV
- Robert Bryant: The X-ray Transform in Finsler Geometry
- David Colton: Inverse Scattering and Ill-posed Problems
- David Colton: The Inverse Acoustic Scattering Problem for an Obstacle
- David Colton: The Inverse Acoustic Scattering Problem for an Inhomogeneous Medium
- David Colton: The Inverse Electromagnetic Scattering Problem
- Michael Eastwood: The Penrose Transform - Part I
- Michael Eastwood: The Penrose Transform - Part II
- Michael Eastwood: The Penrose Transform - Part III
- Michael Eastwood: The Penrose Transform - Part IV
- Simon Gindikin: The Radon Transform and its Variations - Part I
- Simon Gindikin: The Radon Transform and its Variations - Part II
- Simon Gindikin: The Radon Transform and its Variations - Part III
- Simon Gindikin: The Radon Transform and its Variations - Part II
- Simon Gindikin: The Radon Transform and its Variations - Part V
- Alexander Goncharov: Integral Geometry and Linear Differential Equations - Part I
- Alexander Goncharov: Integral Geometry and Linear Differential Equations - Part II
- Alexander Goncharov: Integral Geometry and Linear Differential Equations - Part III
- Alexander Goncharov: Integral Geometry and Linear Differential Equations - Part IV
- Alexander Goncharov: Integral Geometry and Linear Differential Equations - Part V
- Rainer Kress: Uniqueness in Inverse Obstacle Scattering
- Frank Natterer: X-ray Tomography: Integral Geometry
- Frank Natterer: X-ray Tomography: Inversion Algorithms
- Frank Natterer: X-ray Tomography: Non-standard Problems
- Frank Natterer: X-ray Tomography: Applications
- Gunther Uhlmann: Microlocal Analysis and Inverse Problems - Part I
- Gunther Uhlmann: Microlocal Analysis and Inverse Problems - Part II
- Gunther Uhlmann: Microlocal Analysis and Inverse Problems - Part III
- Gunther Uhlmann: Microlocal Analysis and Inverse Problems - Part IV
Integral Geometry in Representation Theory
October 8 - 12, 2001
- Toshio Oshima: Twisted Radon transforms on Grassmannians
- Mike Eastwood: Symmetry in Integral Geometry
- Joachim Hilgert: The dual horospherical Radon transform for polynomials'
- Eric van den Ban: Residues in the Plancherel formula for a semisimple symmetric space
- Takaaki Nomura: Geometric connection of the Poisson kernel with a Cayley transform for homogeneous Siegel domains
- Richard Penney: The Helgason (KKMOOT) Theorem for non-symmetric Kähler manifolds
- Sigurdur Helgason: Totally geodesic Radon transform on symmetric spaces
- Patrick Delorme: D(G/H) and K-finite functions on a reductive symmetric space G/H
- Simon Gindikin: Horospherical transform and Plancherel formula on symmetric spaces
- Yurii Neretin: Analysis of Berezin kernels on symmetric spaces
- Bent Orsted: The Maslor index and bounded cohomology
- Peter Trapa: Applications of the discrete spectrum of semisimple symmetric spaces
- Robert Stanton: Holomorphic aspects of representations: geometry and harmonic analysis
- Toshiyuki Kobayashi: Conformal geometry and analysis on minimal representations of O(p,q)
- Alexander Dvorsky: Jordan algebras and good models for unipotent representations
- Jing-Song Huang: Helgason's conjecture and its generalization to affine symmetric spaces
- Bertram Kostant: The generalized Cayley map from an algebraic group to its Lie algebra
Pan-American Advanced Studies Institute (PASI) on Inverse Problems
October 29 - November 2, 2001
- Gunther Uhlmann: Electrical impedance tomography, part 1
- Ricardo Weder: The time-dependent approach to inverse scattering, part 1
- Jorge Zubelli: Tomography in the presence of diffusion and scattering, part 1
- Jorge Zubelli: Tomography in the presence of diffusion and scattering, part 2
- Adel Faridani: Mathematical problems in computed tomography, part 1
- Gunther Uhlmann: Electrical impedance tomography, part 2
- Maarten V. de Hoop: The impact of microlocal analysis on exploration seismology
- Clifford Nolan: Acoustical inverse scattering, part 1
- Jorge Zubelli: Tomography in the presence of diffusion and scattering, part 3
- Adel Faridani: Mathematical problems in computed tomography, part 2
- Adel Faridani: Mathematical problems in computed tomography, part 3
- Clifford Nolan: Acoustical inverse scattering, part 2
- Ricardo Weder: The time-dependent approach to inverse scattering, part 2
- Ricardo Weder: The time-dependent approach to inverse scattering, part 3
- Gunther Uhlmann: Electrical impedance tomography, part 3
- Clifford Nolan: Acoustical inverse scattering, part 3
Inverse Problems and Applications
November 5 - 16, 2001
- William Symes: Nonlinear problems in seismic inverse scattering
- Ricardo Weder: Aharonov-Bohm effect and time-dependent inverse scattering theory
- Heinz W. Engl: Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods
- David Colton: The linear sampling method for anistropic media
- Plamen Stefanov: An inverse scattering problem for the 2D transport equation
- William Rundell: Local uniqueness theorems in inverse obstacle scattering and associated reconstruction methods
- David Finch: Geometric singularities in tomography
- Samuli Siltanen: A direct regularized reconstruction method for EIT
- Maarten V. de Hoop: Microlocal analysis of seismic inversion: Characteristic strips, generalized Radon transform and differential semblance optimization
- Maciej Zworski: Birkhoff normal forms in semi-classical inverse problems
- Clifford Nolan: Microlocal aspects of synthetic aperture imagery
- Victor P. Palamodov: Phase space analysis of stability of inverse problems
- Fadil Santosa: Inverse and optimization problems involving eigenvalues and eigenfunctions
- Andras Vasy: Inverse problems in many-body scattering
- Matti Lassas: Inverse problem for Maxwell equation in time-domain
- David Dobson: Ultrasound-modulated optical imaging of biological tissue
- David Isaacson: Electrical impedance imaging
- Daniel Tataru: Unique continuation problems for parabolic equations
- Claude Bardos: Deterministic mathematical anlysis of the time reversal mirror
- Gregory Eskin: Global uniqueness in the inverse scattering problem for the Schrodinger operator with external Yang-Mills potentials
- Adrian I. Nachman: Ultrasound imaging using eigenfunctions of the scattering operator
- Gang Bao: Recent studies of an inverse medium problem
- Frank Natterer: Inversion and range of the attenuated Radon transform
- Roland Potthast: Reconstruction of a current distribution from its magnetic field
- Russell Brown: $L^2$ estimates for a scattering transform in two dimensions
- Simon R. Arridge: Reconstruction methods in optical tomography
- John C. Schotland: Near-field optical tomography
- Vasan Venugopalan: Application of photon migration to sub-millimeter length scales and highly absorbing tissues
- F. Alberto Grunbaum: A nonlinear inverse problem for a Markov chain: Recovering the one-step transition probability matrix from boundary measurements
- Sarah Patch: F. John's ultrahyperbolic equation and 3D computed tomography
- Emmanuel J. Candes: Curvelets and linear inverse problems
- Anders Melin: Intertwining operators, nonlinear Radon transforms and inverse backscattering
- Gabor T. Herman: Three-dimensional reconstruction of two-dimensional crystals
- Mathias Fink: Time reversed acoustics
- George Papanicolaou: Imaging and time reversal in random media
- Knut Solna: Scaling relations with time reversed refocusing
- Lawrence Carin: Inverse scattering for elastic targets in a shallow water channel
- Josselin Garnier: Long-range transmission of nonlinear waves in random media
- Chrysoula Tsogka: Time reversal in solids
- Liliana Borcea: Imaging in random media
- Oliver Dorn: Time reversal and the adjoint method
- David Chambers: Spectrum of the time reversal operator
- Peter Blomgren: Some recent results in time reversal and imaging in random media
- Mathias Fink: Shear modulus imaging of tissues with transient elastography
- James F. Greenleaf: Ultrasound stimulated vibro-acoustography
- William A. Kuperman: Application of time-reversal methods to ocean acoustics
- James G. Berryman: Time-reversal acoustics for multiple targets
- Hong-Kai Zhao: Can we hear the size of the target?
- Andres Larraza: Tank-scale experiments on applications to time-reversal acoustics
- Guillaume Bal: Time reversal for classical waves in random media
- Leonid Ryzhik: Refocusing for classical waves in complicated media
- Jean-Pierre Fouque: Separation of scales asymptotics for waves in random media
Special values of Rankin L-series
December 10 - 14, 2001
- Bryan Birch: Heegner points: The beginnings
- Benedict Gross: Heegner points and Rankin L-series, 1980-1987
- Harold Stark: The origins of conjectures on derivatives of L-functions at s=0
- Noam Elkies: CM points and arithmetic of modular elliptic curves: Variants, computations and conjectures
- Dorian Goldfeld: The Gauss class number problem
- Henri Darmon: Stark-Heegner points
- Vinayak Vatsal: Uniform distribution of Heegner points
- Massimo Bertolini: Arithmetic of elliptic curves over anticyclotomic towers
- Henri Darmon: Euler systems and Stark-Heegner points
- Richard Borcherds: The Gross-Kohnen-Zagier theorem in higher dimensions
- Christophe Cornut: Mazur's conjecture through the Andre-Oort conjecture
- Benedict Gross: Heegner points in the context of representation theory
- Shouwu Zhang: The kernel for Rankin-Selberg convolution
- Stephen Kudla: Special cycles and derivatives of Eisenstein series
- Doug Ulmer: Gross-Zagier theorems and the conjecture of Birch and Swinerton-Dyer over function fields
- Shouwu Zhang: The geometric pairing for CM-points
- Adrian Iovita: Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms
- Tonghai Yang: On derivatives of Eisenstein series and Faltings' height
Non-Workshop Lectures
Special lectures on p-adic symmetric domains
- P. Schneider: Introduction to Rigid Analysis
- E. de Shalit: An Introduction to Drinfeld's p-adic Symmetric Space Domain
- E. de Shalit: The Cohomology of Drinfeld's Space
- J. Teitelbaum: Differential Forms on the Drinfeld Space, I
- P. Schneider: Differential Forms on the Drinfeld Space, II
MSRI: Spring 2001
Lectures from Other Organizations: 2002 - 2003
Lectures from Other Organizations: 2000 - 2001
Lectures from Other Organizations: 1998 - 1999
Lectures from Other Organizations: 1996 - 97
Lectures for the General Public
MSRI: Fall 2001