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July
26-29, 2011
Conference in Harmonic Analysis and Partial Differential Equations
in honour of Eric Sawyer
to be held at the Fields Institute
Organizer: Cristian Rios, University of Calgary
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The meeting will
concentrate on Analysis and Partial differential Equations, specifically
in relation to the diverse set of topics Dr. Eric T Sawyer has worked
on and influenced during his rich and prolific career:
- Weighted norm inequalities
- Several complex variables
- Unique continuation
- Singular integrals, fractional integrals
- Elliptic equations and systems
- Degenerate equations
- Monge-Ampère equations
- Number theory and Combinatorics
The objective of this event is to promote scientific exchange among
the participants by celebrating Eric Sawyer’s contributions
to mathematics. The participants would include Professor Sawyer's
current and former students, collaborators and friends, as well
as junior mathematicians working in the areas of interest. It will
be of great value to the future development of these fields to make
more widely known the mathematics touched on by this outstanding
Canadian mathematician.
Confirmed Speakers:
Nicola Arcozzi, University of Bologna
Baojun Bian, Tongji University
Sagun Chanillo, Rutgers University
Seng Kee Chua, National University of Singapore
David Cruz-Uribe, Trinity College
Xuan Duong, Macquarie University
Pengfei Guan, McGill University
Steve Hofmann, University of Missouri at Columbia
Alex Iosevich, University of Rochester
Ron Kerman, Brock University
Michael Lacey, Georgia Institute of Technology
Guozhen Lu, Wayne University
José María Martell, CSIC-Universidad Autónoma
de Madrid
Camil Muscalu, Cornell University
Carlos Perez, University of Seville
Malabika Pramanik, University of British Columbia
Richard Rochberg, Washington University at Saint Louis
Rodolfo Torres, University of Kansas
Ignacio Uriarte-Tuero, Michigan State University
Richard Wheeden, Rutgers University
Schedule:
| Tuesday,
July 26 Audio & Slides of the
Talks |
| 8:30-8:50 |
On-site Registration and Morning
Coffee |
| 8:50-9:00 |
Introduction |
| 9:00-9:50 |
Carlos Perez Moreno, University of Seville
The work of Eric Sawyer: Some high points |
| 10:00-10:30 |
Coffee Break |
| 10:30-11:20 |
Richard Wheeden, Rutgers University
Norm inequalities for rough Calderon-Zygmund operators; Regularity
of weak solutions of degenerate quasilinear equations with rough
coefficients |
| 11:30-12:20 |
David Cruz-Uribe, Trinity College
Norm inequalities for the maximal operator\\ on variable
Lebesgue spaces
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| 12:30-14:00 |
Lunch Break |
| 14:00-14:50 |
Camil Muscalu, Cornell University
Beyond Calderón's algebra |
| 15:00-15:50 |
Ron Kerman, Brock University
Rearrangement invariant Sobolev spaces on general domains |
| 16:00-16:30 |
Coffee Break |
| 16:30-17:20 |
Michael Lacey, Georgia Institute of Technology
Weighted Estimates for Singular Integrals |
| 17:30-18:30 |
Reception (Fields Atrium) |
| Wednesday,
July 27 Audio & Slides of the
Talks |
| 8:30-9:00 |
Morning Coffee |
| 9:00-9:50 |
Richard Rochberg, Washington University
at Saint Louis
Toeplitz Operators and Hankel Forms on Model Spaces |
| 10:00-10:30 |
Coffee Break |
| 10:30-11:20 |
José María Martell, Consejo
Superior de Investigaciones Cientificas (Spain)
Higher integrability of the Harmonic Measure and Uniform
Rectifiability |
| 11:30-12:20 |
Steve Hofmann, University of
Missouri at Columbia
Harmonic Measure and Uniform Rectifiability |
| 12:30-14:00 |
Lunch Break |
| 14:00-14:50 |
Xuan Duong, Macquarie University
Boundedness of singular integrals and their commutators with
BMO functions on Hardy spaces |
| 15:00-15:20 |
Treven Wall, Johns Hopkins University
The $L^p$ Dirichlet problem for second-order, non-divergence
form operators |
| 15:25-15:45 |
Xiangwen Zhang, McGill University
Schauder estimate for the complex Monge-Amp\'ere equation
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| 15:50-16:20 |
Coffee Break |
| 16:20-16:40 |
Lyudmila Korobenko, University of Calgary
Regularity of solutions of degenerate quasilinear equations |
| 16:45-17:05 |
Henri Martikainen, University of Helsinki
Tb Theorems on Upper Doubling Spaces |
| 17:10-17:30 |
Nguyen Cong Phuc, Louisiana State University
A nonlinear Calderón-Zygmund theory for quasilinear
operators and its applications |
| 17:35-17:55 |
Julio Delgado-Valencia, Universidad del
Valle
Degenerate Elliptic Operators on the Torus
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| Thursday,
July 28 Audio & Slides of the
Talks |
| 8:30-9:00 |
Morning Coffee |
| 9:00-9:50 |
Sagun Chanillo, Rutgers University
Embedding CR Three Manifolds |
| 10:00-10:30 |
Coffee Break |
| 10:30-11:20 |
Pengfei Guan, McGill University
Maximum rank property and partial Legendre tranform of homegenous
Monge-Amp\`ere type equations |
| 11:30-12:20 |
Seng Kee Chua, National University of Singapore
Average value problems in differential equations |
| 12:30-14:00 |
Lunch Break |
| 14:00-14:50 |
Baojun Bian, Tongji University
Convexity and partial convexity for solution of partial differential
equations |
| 15:00-15:50 |
Guozhen Lu, Wayne University
Multiparameter Hardy spaces associated to composition operators
and Littlewood-Paley theory |
| 16:00-16:30 |
Coffee Break |
| 16:30-16:50 |
Xiao Yuayuan, Wayne State University
Wolff potentials and integral systems on homogeneous spaces |
| 16:55-17:15 |
Xiaolong Han, Wayne State University
Hardy-Littlewood-Sobolev inequalities on $\R^N$ and the Heisenberg
group |
| 19:00- |
Banquet at L'Espresso Bar Mercurio
(321 Bloor St .W) MAP |
| Friday, July
29 Audio & Slides of the Talks |
| 8:30-9:00 |
Morning Coffee |
| 9:00-9:50 |
Rodolfo Torres, University of Kansas
A new geometric regularity condition for the end-point estimates
of bilinear Calder\'on-Zygmund operators |
| 10:00-10:30 |
Coffee Break |
| 10:30-11:20 |
Ignacio Uriarte-Tuero, Michigan State University
Two conjectures of Astala on distortion of sets under quasiconformal
maps and related removability problem |
| 11:30-12:20 |
Nicola Arcozzi, University of Bologna
Potential Theory on Trees and Metric Spaces |
| 12:30-1:20 |
Malabika Pramanik, University of British
Columbia
A multi-dimensional resolution of singularities with applications
to analysis |
List of Confirmed Participants
| Full Name |
University/Affiliation |
| Arcozzi, Nicola |
University of Bologna |
| Avelin, Benny |
Umea University |
| Bajunaid, Ibtesam |
King Saud University |
| Balsim, Igor |
KCC-CUNY |
| Bian, Baojun |
Tongji University |
| Chanillo, Sagun |
Rutgers University |
| Chua, Seng-Kee |
National University of Singapore |
| Cruz-Uribe, David |
Trinity College |
| Dafni, Galia |
Concordia University |
| Delgado, Julio |
Universidad del Valle |
| Denzler, Jochen |
Univerity of Tennessee |
| Duong, Xuan |
Macquarie University |
| Guan, Pengfei |
McGill University |
| Han, Xiaolong |
Wayne State University |
| Hofmann, Steven |
University of Missouri-Columbia |
| Kerman, Ron |
Brock University |
| Koh, Doowon |
Michigan State University |
| Korobenko, Lyudmila |
University of Calgary |
| Lacey, Michael |
Georgia Institute of Technology |
| Lu, Guozhen |
Wayne State University |
| Martell, José María |
Consejo Superior de Investigaciones Cientificas (Spain) |
| Martikainen, Henri |
University of Helsinki |
| Muscalu, Camil |
Cornell University |
| Nguyen, Phuc |
Louisiana State University |
| Palsson, Eyvindur |
Cornell University |
| Perez, Carlos |
Universidad de Sevilla and University of Kansas |
| Pramanik, Malabika |
University of British Columbia |
| Rios, Cristian |
University of Calgary |
| Rochberg, Richard |
Washington University |
| Rodney, Scott |
Cape Breton University |
| Sawyer, Eric |
McMaster University |
| Shen, Chun-Yen |
McMaster University |
| Torres, Rodolfo |
University of Kansas |
| Uriarte-Tuero, Ignacio |
Michigan State University |
| Wall, Treven |
Johns Hopkins University |
| Weit, Yitzhak |
University of Haifa |
| Wheeden, Richard |
Rutgers University |
| Xiao, Yayuan |
Wayne State University |
| Zhang, Xiangwen |
McGill University |
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