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WORKSHOP
ON THE CORONA PROBLEM:
CONNECTIONS BETWEEN OPERATOR
THEORY, FUNCTION THEORY AND GEOMETRY
June 18-22, 2012
Fields Institute
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supported
in part
by the
National Science
Foundation
DMS1200994 |
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Organizers:
Ron
Douglas (Texas A&M)
Steven G. Krantz (Washington - St. Louis), Eric T. Sawyer
(McMaster)
Sergei Treil (Brown), Brett D. Wick (Georgia Institute of
Technology)
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Overview
In recent years, there has been a furry of research activity on
the Corona problem. It should be noted that there has never before
been a workshop that focuses on the Corona problem in one and several
variables and in particular, one that focuses on the interactions
between this problem and other areas of analysis. This workshop
would bring together researchers from three different areas: harmonic
analysis, operator theory, and several complex variables which will
lead to further collaborations and interactions among these areas.
Workshop Themes
The Corona Problem, Function Theory and Harmonic Analysis.
Corona in Several Variables.
Corona for Planar Domains.
Completion Problem.
Expository Introductory Talks
A series of talks setting out the major relevant themes in the different
subject areas will be a significant aid to the discussion periods
the Workshop will have. In the first two days, there will be general
surveys on the related themes of the Wrokshop. These expository talks
will be delivered by experts on the subject and will serve to bring
the participants unfamiliar with the topics "up to speed".
It is anticipated that these morning talks will be exible and open-ended,
with interruptions and questions from the participants.
Additionally, if necessary, there may be another expository talk during
the first two days.
Ron Douglas Operator Theory and Complex Geometry
Sergei Treil Corona and Ideal Problems on the Disc
Steven Krantz Several Complex Variables and the Corona Theorem
Eric Sawyer Corona Theorems for Besov-Sobolev Spaces
Subsequent morning talks will be selected and guided based on participant
feedback. As the workshop progresses, there will be topics that
will become more useful and interesting for the participants and
relevant experts from the participants will be selected to provide
an expository talk on the subject. The workshop will have an afternoon
problem session to discuss potential points of entry into this area
of research.
Confirmed Participants as of May 24,
2012
| Full Name |
University Name |
| Agler, James |
University of California, San Diego |
| Banjade, Debendra |
University of Alabama |
| Bickel, Kelly |
Washington University in St. Louis |
| Biswas, Shibananda |
Ben Gurion University of the Negev |
| Brudnyi, Alexander |
University of Calgary |
| Castillo, Miriam |
University of Florida |
| Chen, Liwei |
Washington University in St. Louis |
| Condori, Alberto |
Florida Gulf Coast University |
| Davidson, Kenneth |
University of Waterloo |
| Di Biase, Fausto |
Universita' "G. D'Annunzio" |
| Douglas, Ronald G. |
Texas A&M University |
| Eschmeier, Jörg |
Universitaet des Saarlandes |
| Ferguson, Tim |
Vanderbilt University |
| Gorai, Sushil |
Indian Statistical Institute |
| Hamilton, Ryan |
University of Waterloo |
| Helton, J. William |
University of California, San Diego |
| Kennedy, Matthew |
Carleton University |
| Kinzebulatov, Damir |
University of Calgary |
| Knese, Gregory |
University of Alabama |
| Krantz, Steven |
Washington University in St. Louis |
| Lee, Lina |
University of California, Riverside |
| Li, Song-Ying |
University of California, Irvine |
| Liu, Bingyuan |
Washington University in St. Louis |
| Mitkovski, Mishko |
Georgia Institute of Technology |
| Nikolski, Nikolai K. |
Université Bordeaux 1 |
| Oh, Byung-Geun |
Hanyang University |
| Pal, Sourav |
Indian Statistical Institute |
| Pau, Jordi |
Universitat de Barcelona |
| Putinar, Mihai |
University of California |
| Rochberg, Richard |
Washington University |
| Sarfatti, Giulia |
University of Florence |
| Sasane, Amol |
London School of Economics |
| Sunkes, James |
University of Tennessee-Knoxville |
| Trent, Tavan |
University of Alabama |
| Wick, Brett |
Georgia Institute of Technology |
| Xiao, Jie |
Memorial University of Newfoundland |
| Xu, Wen |
Memorial University of Newfoundland |
| Zeytuncu, Yunus |
Texas A&M University |
| Zhou, Cong |
McMaster University |
| Zhu, Kehe |
State University of New York at Albany |
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