	WORKSHOP ON THE CORONA PROBLEM: CONNECTIONS BETWEEN OPERATOR THEORY, FUNCTION THEORY AND GEOMETRY June 18-22, 2012 Fields Institute		supported in part by the National Science Foundation DMS1200994
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)

Registration on site June 18 Fee $50, Fees waived for students & PDF		audio and slides
Participants	Toronto	Accommodation in Toronto

Overview

In recent years, there has been a flurry 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 Workshop. 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.

Program : (speakers abstracts)

Monday
9:00-9:25	Onsite Registration and Coffee
9:25-9:30	Workshop Welcome
9:30-10:30	Ron G. Douglas The Corona Problem and Operator Theory
10:30-11:00	Coffee Break
11:00-12:00	Steven G. Krantz The Corona Problem In Several Complex Variables
12:00-2:00	Lunch
2:00-3:00	Eric T. Sawyer Corona theorems for the Drury-Arveson space and other Besov-Sobolev spaces of holomorphic functions on the ball
3:00-3:30	Tea Break
3:30-4:00	Mishko Mitkovski Compactness of operators on Bergman type spaces
4:00-5:30	Reception at Fields
Tuesday
9:00-9:30	Morning Coffee
9:30-10:30	Sergei Treil Corona, ideals, and the completion problem: a geometric approach
10:30-11:00	Coffee Break
11:00-12:00	Tavan Trent Remarks on Corona Problems
12:00-2:00	Lunch
2:00-3:00	Alexander Brudnyi Stein-like Theory for Banach-valued Holomorphic Functions on the Maximal Ideal space of H ∞ and the Operator Corona Problem of Sz.-Nagy
3:00-3:30	Tea Break
3:30-4:00	Kelly Bickel Inner Functions and associated Hilbert Spaces on the Bidisk
4pm-	Open
Wednesday
9:00-2:00	Free
2:00-3:00	Open Problem Session
3:00-3:30	Tea Break
3:30-4:30	Back2Fields Colloquium: Brett D. Wick
Thursday
9:00-9:30	Morning Coffee
9:30-10:30	Nikolai Nikolskii Numerically Effective Corona Problems
10:30-11:00	Coffee Break
11:00-12:00	Amol Sasane The corona and completion problem for an algebra of measures used in control theory
12:00-2:00	Lunch
2:00-3:00	Greg Knese Inner functions on the bidisk and associated Hilbert spaces
3:00-3:30	Tea Break
3:30-4:00	Ryan Hamilton The Toeplitz Corona Problem and a Distance Formula
4pm-	Open
Friday
9:00-9:30	Morning Coffee
9:30-10:30	Ken Davidson Classification of Universal Operator Algebras associated to Varieties
10:30-11:00	Coffee Break
11:00-12:00	Richard Rochberg Truncated Hankel forms, Hankel forms on Model Spaces
12:00-12:30	Debendra Banjade Wolff's Corona Problem in the Multiplier Algebra of the Dirichlet Space in the unit disk

Final Participant List

Full Name	University/Affiliation
Agler, James	University of California, San Diego
Banjade, Debendra	University of Alabama
Benge, Philip	Georgia Institute of Technology
Bernucci, Daniel	Georgia Institute of Technology
Bickel, Kelly	Washington University in St. Louis
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
Ferguson, Tim	Vanderbilt University
Gorai, Sushil	Indian Statistical Institute
Hamilton, Ryan	University of Waterloo
Jury, Michael	University of Florida
Kennedy, Matthew	Carleton University
Kinzebulatov, Damir	The Fields Institute
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
Li, Zhiqiang	Fields Institute
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
Patel, Sanjay	McMaster University
Pau, Jordi	Universitat de Barcelona
Petzka, Henning	University of Toronto
Rochberg, Richard	Washington University
Sarfatti, Giulia	University of Florence
Sasane, Amol	London School of Economics
Sawyer, Eric	McMaster University
Sunkes, James	University of Tennessee-Knoxville
Treil, Sergei	Brown University
Trent, Tavan	University of Alabama
Wick, Brett	Georgia Institute of Technology
Xiao, Jie	Memorial University of Newfoundland
Xu, Wen	Memorial University of Newfoundland
Yang, Dilian	University of Windsor
Zeytuncu, Yunus	Texas A&M University
Zhou, Cong	McMaster University
Zhu, Kehe	State University of New York at Albany
Zorboska, Nina	University of Manitoba