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Workshop Special values of Rankin L-series
Show Schedules
- 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 Armon: 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
- Shou-Wu Zhang: The kernel for Rankin-Selberg convolution
- Stephen Kudla: Special cycles and derivatives of Eisenstein series
- Douglas Ulmer: Gross-Zagier theorems and the conjecture of Birch and Swinerton-Dyer over function fields
- Shou-Wu 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
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Workshop Inverse problems and Applications
Show Schedules
- Leonid Ryzhik: Refocusing for classical waves in complicated media
- Andres Larraza: Tank-scale experiments on applications to time-reversal acoustics
- Mathias Fink: Shear modulus imaging of tissues with transient elastography
- Chrysoula Tsogka: Time reversal in solids
- Josselin Garnier: Long-range transmission of nonlinear waves in random media
- Mathias Fink: Time reversed acoustics
- Frank Natterer: Inversion and range of the attenuated Radon transform
- Ultrasound imaging using eigenfunctions of the scattering operator
- William Symes: Nonlinear problems in seismic inverse scattering
- Ricardo Weder: Aharonov-Bohm effect and time-dependent inverse scattering theory
- William Rundell: Local uniqueness theorems in inverse obstacle scattering and associated reconstruction methods
- David Colton: The linear sampling method for anisotropic media
- Plamen Stefanov: An inverse scattering problem for the 2D transport equation
- Heinz Engl: Identification of parameters in polymer crystallization, semiconductor models and elasticity via iterative regularization methods
- David Finch: Geometric singularities in tomography
- A direct regularized reconstruction method for EIT
- Maarten 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 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 analysis of the time reversal mirror
- Gregory Eskin: Global uniqueness in the inverse scattering problem for the Schrödinger with external Yang-Mills potentials
- Gang Bao: Recent studies of an inverse medium problem
- Roland Potthast: Reconstruction of a current distribution from its magnetic field
- Russell Brown: L2 estimates for a scattering transform in two dimensions
- Simon Arridge: Reconstruction methods in optical tomography
- John Schotland: Near-field optical tomography
- Vasan Venugopalan: Application of photon migration to sub-millimeter length scales and highly absorbing tissues
- alberto grunbaum: An 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 Candes: Curvelets and linear inverse problems
- Anders Melin: Intertwining operators, nonlinear Radon transforms and inverse backscattering
- Gabor Herman: Three dimensional reconstruction of two dimensional crystals
- 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
- 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.
- James Greenleaf: Ultrasound stimulated vibro-acoustography
- James Berryman: Time-reversal acoustics for multiple targets
- Hong-Kai Zhao: Can we hear the size of the target?
- Guillaume Bal: Time reversal for classical waves in random media and the abstract
- Jean-Pierre Fouque: Separation of scales asymptotics for waves in random media
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Workshop Pan-American Advanced Studies Institute (PASI) on Inverse Problems
Show Schedules
- 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 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
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Workshop Integral Geometry in Representation Theory
Show Schedules
- Peter Trapa: Applications of the discrete spectrum of semisimple symmetric spaces
- Toshio Oshima: Twisted Radon transforms on Grassmannians
- Michael Eastwood: Symmetry in Integral Geometry
- Joachim Hilgert: The dual horospherical Radon transform for polynomials
- Erik 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 Ørsted: The Maslor index and bounded cohomology
- Robert Stanton: Holomorphic aspects of representations: geometry and harmonic analysis
- Toshiyuki Kobayashi: Conformal geometry and analysis on minimal representations of O(p,q)
- 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
- Alexander Dvorsky: Jordan algebras and good models for unipotent representations
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Workshop Introductory Workshop in Inverse Problems and Integral Geometry
Show Schedules
- The Radon Transform and its Variations - Part V
- The Inverse Electromagnetic Scattering Problem
- The Inverse Acoustic Scattering Problem for an Inhomogeneous Medium
- The Inverse Acoustic Scattering Problem for an Obstacle
- Inverse Scattering and Ill-posed Problems
- Simon Gindikin: The Radon transform and its variations (part 1 - 4)
- Gunther Uhlmann: Microlocal analysis and inverse problems (part 1 - 4)
- Frank Natterer: X-ray tomography: Integral geometry
- Liliana Borcea: Electrical impedance tomography (part 1 - 4)
- Michael Eastwood: The Penrose transform (part 1 - 4)
- Frank Natterer: X-ray tomography: Inversion algorithms
- Frank Natterer: X-ray tomography: Non-standard problems
- Frank Natterer: X-ray tomography: Applications
- Carlos Berenstein: Localization of the 2-D Radon transform
- Giovanni Alessandrini: Cracks and other inverse problems with unknown boundaries: Geometric critical points
- Alexander Goncharov: Integral geometry and linear differential equations (part 1 - 5)
- Robert Bryant: The X-ray transform in Finsler geometry
- Giovanni Alessandrini: Cracks and other inverse problems with unknown boundaries: Some uniqueness results and open problems
- Joseph Bernstein: Analytic continuation of $$P^{\lambda}$$
- Rainer Kress: Uniqueness in inverse obstacle scattering