Workshop on Harmonic Analysis

February 19 - 23, 2008, The Fields Institute

Location: Fields Institute, Room 230

Description

SPEAKERS:

Michael Bateman (Indiana-Bloomington)
Vitaly Bergelson (Ohio State University)
Jim Colliander (University of Toronto)
Cirprian Demeter (IAS & Indiana)
Burak Erdogan (University of Illinois at Urbana-Champaign)
Sushrut Gautam (University of California, Los Angeles)
Michael Goldberg (Johns Hopkins University)
Loukas Grafakos ( University of Missouri at Columbia)
Allan Greenleaf (University of Rochester)
Derrick Hart (University of Missouri-Columbia)
Steve Hofmann (University of Missouri-Columbia)
Alexandru Ionescu (University of Wisconsin, Madison)
Nets Katz (Indiana, Bloomington)
Doowon Koh (University of Missouri-Columbia)
Izabella Laba (University of British Columbia)
Michael Lacey (Georgia Tech)
Xiaochun Li (University of Illinois, Urbana-Champaign)
Victor Lie (University of California, Los Angeles)
Neil Lyall (University of Georgia, Athens)
Akos Magyar (University of Georgia, Athens)

Vladimir Mazya (Ohio State University)
Detlef Muller (Christian-Albrechts-Universitt zu Kiel)
Camil Muscalu (Cornell University)
Alexander Nagel (University of Wisconsin, Madison)
Richard Oberlin (University of California, Los Angeles)
Carlos Perez (University of Seville)
Lillian Pierce (Princeton University)
Jill Pipher (Brown University)
Keith Rogers (Universidad Autonoma de Madrid)
Eric Sawyer (McMaster University)
Raanan Schul (University of California, Los Angeles)
Andreas Seeger (University of Wisconsin, Madison)
Hart Smith (Washington, Seattle)
Alexander Stokolos (DePaul University)
Christoph Thiele (University of California, Los Angeles)
Rodolfo Torres (University of Kansas)
Ana Vargas (Universidad Autónoma de Madrid)
Alexander Volberg (Michigan State University, East Lansing)
Xiangjin Xu (Binghamton University)

Schedule

Tuesday, February 19th, 2008
08:30 to 09:00	Morning Coffee
09:00 to 09:45	A modulation invariant bilinear variant of the T(1) theorem Christoph Thiele, University of California, Los Angeles
09:45 to 10:00	Coffee Break
10:00 to 10:45	Bounds for the two dimensional bilinear Hilbert transform Ciprian Demeter, Indiana University
11:00 to 11:45	Some problems on bilinear oscillatory integrals along curves Xiaochun Li
11:45 to 13:00	Lunch Break
13:00 to 13:20	On the Tauberian condition for geometric maximal operators Alexander Stokolos, DePaul University
13:30 to 13:50	A critical-exponent Balian-Low theorem Sushrut Gautam, University of California, Los Angeles
14:00 to 14:45	New maximal functions and commutator and weighted estimates for the multlinear Calderón-Zygmund theory Rodolfo Torres, University of Kansas
14:45 to 15:00	Coffee Break
15:00 to 15:45	Rough and rougher singular integrals Loukas Grafakos, University of Missouri
16:00 to 16:45	Some estimates for the X-ray transform Richard Oberlin
17:15 to 18:15	Reception with cash bar

Wednesday, February 20th, 2008
08:30 to 09:00	Morning Coffee
09:00 to 09:45	10 open problems on positive definite functions Vitaly Bergelson, The Ohio State University
09:45 to 10:00	Coffee Break
10:00 to 10:45	Polynomial configurations in difference sets Neil Lyall, University of Georgia
11:00 to 11:45	A coloring problem for squares Akos Magyar, University of Georgia
11:45 to 13:00	Lunch Break
13:00 to 13:20	Discrete fractional integral operators Lillian Pierce, Princeton University
13:30 to 13:50	Sum-Product Theory in Finite Fields Derrick Hart, University of Missouri-Columbia
14:00 to 14:20	Extension theorems for paraboloids in the finite field setting Doowon Koh
14:30 to 15:15	A covering lemma for certain monomial polyhedra Alexander Nagel, University of Wisconsin–Madison
15:15 to 15:30	Coffee Break
15:30 to 16:15	The Small Ball Inequality in all Dimensions Michael Lacey, Georgia Tech
16:30 to 17:15	Towards uniform rectifiability in a general metric space Raanan Schul, Stony Brook University

Thursday, February 21st, 2008
08:30 to 09:00	Morning Coffee
09:00 to 09:45	Semilinear Schrodinger flows on hyperbolic spaces: scattering in H^1 Alexandru Ionescu, Princeton University
09:45 to 10:00	Coffee Break
10:00 to 10:45	Mixed-norm estimates for the free Schrodinger equation Keith Rogers, Universidad Autónoma de Madrid
11:00 to 11:45	Near-linear evolution for 1D periodic NLS Burak Erdogan, Univeristy of Illinois of Urbana-Champaign
11:45 to 13:00	Lunch Break
13:00 to 13:45	Strichartz estimates in the presence of an oscillating electromagnetic field Michael Goldberg
14:00 to 14:45	Electrostatic field with finitely many charges: the sharp estimates of the size of the level sets Alexander Volberg, MSU and Michigan State University
14:45 to 15:00	Coffee Break
15:00 to 15:45	L^p bounds for eigenfunctions for Lipschitz metrics Hart Smith, University of Washington
16:00 to 16:45	Estimates for Fourier integral operators with both singular symbols and folds Allan Greenleaf, University of Rochester
17:00 to 17:45	Sharp weighted end-point estimates for Calderon-Zygmund Singu-lar Integral Operators Juan Carlos Perez Pedraza, Universidad de Sevilla

Friday, February 22nd, 2008
08:30 to 09:00	Morning Coffee
09:00 to 09:45	Layer potentials for complex divergence form equations Steve Hofmann, University of Missouri
09:45 to 10:00	Coffee Break
10:00 to 10:45	Some remarks on absolute continuity of elliptic measure Jill Pipher, Brown University
11:00 to 11:45	Higher order elliptic equations in general domains Vladimir Mazya, The Ohio State University
11:45 to 13:00	Lunch Break
13:00 to 13:30	No Title Specified
13:30 to 13:50	Upper and lower bounds for normal derivatives of spectral clusters of Dirichlet Laplacian Xiangjin Xu, Binghamton University
14:00 to 14:45	Radial Fourier multipliers and a local smoothing inequality Andreas Seeger, University of Wisconsin–Madison
14:45 to 15:00	Coffee Break
15:00 to 15:45	On an interesting multi-parameter structure in harmonic analysis and its connection to the theory of differential equations Camil Muscalu, Cornell University
16:00 to 16:45	Null form estimates for the wave equation Ana Maria Vargas Rey, Universidad Autónoma de Madrid
17:00 to 17:45	Maximal averages along one-variable vector fields Michael Bateman

Saturday, February 23rd, 2008
08:30 to 09:00	Morning Coffee
09:00 to 09:45	Sharp Lp-estimates for maximal operators for p > 2 , oscillation indices and a Fourier restriction theorem associated to hypersurfaces in R3 Detlef Müller, Christian-Albrechts-Universität Kiel
09:45 to 10:00	Coffee Break
10:00 to 10:45	Arithmetic progressions in sets of fractional dimension Izabella Laba, University of British Columbia
11:00 to 11:45	Weak turbulence for cubic NLS on the two dimensional torus James Colliander, Pacific Institute for the Mathematical Sciences
11:45 to 13:00	Lunch Break
13:00 to 13:20	Sums, Products, and other things Nets Katz
14:00 to 14:45	Nehari theorems for the Dirichlet space Eric Sawyer, McMaster University

The Fields Institute for
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Workshop on Harmonic Analysis

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