Scientific Organisers
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Carlos Kenig, University of Chicago
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Alexander Nagel, University of Wisconsin
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Andreas Seeger, University of Wisconsin
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Jim Wright, University of Edinburgh
About:
This workshop focused on:
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Oscillatory integrals of Calreson-Sjolin type and related topics
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Oscillatory and Fourier integral operators with degenerate canonical relations
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The role of affine invariant measures
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Uniformity and stability issues for oscillatory integrals, and related problems
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Fostering interaction and collaboration amongst participants
Speakers and their talk titles
Bill Beckner, University of Texas - Multilinear Fractional Sobolev Embedding
Jonathan Bennett, University of Birmingham - Weighted Norm Inequalities for a Class of Oscillatory Integrals
Neal Bez, University of Birmingham - Multilinear Radon-Like Transforms
Anthony Carbery, University of Edinburgh - The Multilinear Kakeya Theorem, Factorisation and Algebraic Topology
Michael Christ, University of California - Extremizers and Near-Extremizers for the Radon Transform
Antonio Cordoba, Universidad Autonoma de Madrid - Singular Integrals in Fluid Mechanics
Spyros Dendrinos, University of Jyväskylä - Sharp Uniform $L^p$ Estimates for Local Fourier Restriction to Curves
Michael Greenblatt, University of Illinois - A Resolution of Singularities Algorithm for Local Fields of Characteristic Zero and Some Applications
Allan Greenleaf, University of Rochester - Mathematical Foundations of Invisibility Cloaks and Transformation Optics
Allan Greenleaf, University of Rochester - A Multi-Dimensional Resolution of Singularities with Applications
Philip Gressman, University of Pennsylvania - Uniform Sublevel Set Estimates and Applications
A.D. Ionescu, Princeton University - On the Local Extension of Killing Vector-Fields in Ricci Flat Manifolds
Alexander Iosevich, University of Rochester - Sobolev Bounds for Generalized Radon Transforms and Application to Geometric Measure Theory
Sanghyuk Lee, Seoul National University - On Pointwise Convergence of Solutions to the Schrödinger Equations
Neill Lyall, University of Georgia - Polynomial Patterns in Subsets of the Integers
Akos Magyar, University of British Columbia - Discrete Singular Radon Transforms on Step-2 Nilpotent Groups
Detlef Mueller, University of Kiel - Uniqueness for Schroedinger Equations on Two-Step Nilpotent Groups
Dan Oberlin, Florida State University - Uniform Convolution and Fourier Restriction Estimates with Affine Measures - a Survey
Richard Oberlin, Louisiana State University - Variations on the Carleson-Hunt Theorem
Lillian Pierce, University of Oxford - Discrete Fractional Radon Transforms
Malabika Pramanik, University of British Columbia - An Uncertainty-Type Principle for Salem Measures of Fractional Dimension
Keith Rogers, Instituto de Ciencias Matemáticas - Improved Bounds for Stein's Square Function
Eli Stein, Princeton University - Cauchy Integrals in for Domains in C^n with Minimal Smoothness
Brian Street, University of Wisconsin - Multiparameter Singular and Fractional Radon Transforms
Christoph Thiele, University of California - The Twisted Paraproduct and the Triangular Hilbert Transform
Ana Vargas, Universidad Autonoma de Madrid - About the Born Approximation in Potential Inverse Scattering