Organizing Committee
Benoit Collins - University of Ottawa
Thierry Giordano – University of Ottawa
Sutanu Roy - University of Ottawa and Carleton University

Scientific Advisory Committee
George A. Elliott - University of Toronto
Kenneth R. Davidson - University of Waterloo
Stanislaw L. Woronowicz - University of Warsaw

Registration on site Fee: \$50 for faculty, \$30 for postdocs, \$20 for students. Fee waived for invited speakers	Schedule	Abstracts
	Participant List	Getting to UOttawa

The registration and the talks will take place in the Department of Mathematics and Statistics, uOttawa.
Map of Campus.

OVERVIEW

From the late 1980's, S. L. Woronowicz defined and studied C*-algebra approach to quantum groups. In particular in the compact case, he proved a generalization of the Tannaka-Krein duality theory using C*-tensor categories. This approach provides close connections between quantum groups and other important research topics as quantum field theory, knots, and von Neumann subfactors.

It is only in 2000, that J. Kustermans and S. Vaes gave a satisfactory definition of a general locally compact quantum group. Presence of Haar weights allows to peform harmonic analysis on locally compact quantum groups, including generalization of several results for locally compact groups.

The first non-trivial examples of quantum groups were given by Woronowicz himself (who participates to the meeting). One next big family of quantum groups was given by Wang around 1995 -- the so called free quantum groups. Their representation theory and their first operator algebraic theory were unveiled by Banica. Later on, together with Bichon, Collins and others, important relations with free probability were discovered.

However, the operator algebraic structures remained difficult to understand until Vergnioux -- who participates to the meeting (and then Vergnioux and Vaes) introduced the notion of rapid decay in the context of quantum groups. Their results have subsequently inspired dozens of results about the structure of the von Neumann algebras of quantum groups (solidity, factoriality, primeness, etc)

On the other hand, the notion of amenability is a very important one in the context of quantum groups, and many progress have been made in this direction in the context of locally compact quantum groups (Crann, Kalantar).

Finally, lately there has been new promising relations between quantum groups and quantum information theory (initiated in particular by Junge, Ruan, Neufang and Crann), and also between quantum groups and logic (that is represented by many experts at uOttawa).

Many important actors of quantum groups theory will attend and their presence will be a great benefit to the mathematical community of Ontario. We expect that graduate students from Ontario and nearby universities will also benefit from this aggregation of experts.

Finally, experts from different backgrounds expect to learn from each others' expertises in order to develop new directions of research on the occasion of this workshop.

Schedule

Thursday February 5
9:30-10:00:	Registration & coffee
10:00-10:50:	Jhong-Zin Ruan, University of Illinois at Urbana-Champaign Exotic Quantum Group C-algebras.*
11:00-11:50:	Douglas Farenick, University of Regina Operator systems from discrete groups.
12:00-12:50:	Matthew Kennedy, Carleton University C-simplicity and the unique trace property for discrete groups.*
12:50-14:10:	Lunch break
14:10-15:00:	David Handelman, University of Ottawa Good and not-so-good traces on (AF) C-algebras*
15:00-15:30:	Coffee break
15:30-16:20:	Charles Starling, University of Ottawa Boundary Quotients of Semigroup C-algebras* -- Slides
16:30-17:20:	Nico Spronk, University of Waterloo Weak amenability of Fourier algebras -- Slides
Friday February 6
9:10-10:00:	Roland Vergnioux, Université de Caen Basse-Normandie Stabilizer subgroups of universal compact quantum groups and the Connes embedding property
10:00-10:20:	Coffee break
10:20-11:10:	James A. Mingo, Queen's University Freeness and the Transpose -- Slides
11:20-12:10:	Richard Blute, University of Ottawa Hopf Algebras and The Logic of Tensor Categories -- Slides
12:10-14:10:	Lunch break
14:10-15:00:	Sutanu Roy, University of Ottawa & Carleton University Quasitriangular quantum group twisted tensor product of C-algebras*
15:00-15:30:	Coffee break
15:30-16:30:	CRM distinguished lecture: Stanislaw Lech Woronowicz, IMPAN-Warsaw Categories of C-algebras subject to an action of a quantum group*
16:30-18:00:	Discussion
Saturday February 7
9:10-10:00:	Matthias Neufang, Carleton University Amenability and injectivity of locally compact quantum groups
10:00-10:20:	Coffee break
10:20-11:10	Jason Crann, Carleton University A unified framework for complementarity in quantum information -- Slides
11:20-12:10	Grazia Viola, Lakehead University Classification of spatial $L^p$ AF algebra -- Slides

Participant List

Full Name	University/Affiliation
Al Nuwairan, Muneerah	University of Ottawa
Bagnol, Marc	University of Ottawa
Beauvais-Feisthauer, Joey	University of Ottawa
Blute, Richard	University of Ottawa
Buteau, Samuel	University of Ottawa
Cioppa, Timothy	University of Ottawa
Collins, Benoît	University of Ottawa
Cordeiro, Luiz Gustavo	University of Ottawa
Crann, Jason	Carleton University
Farenick, Douglas	University of Regina
Forrest, Brian	University of Waterloo
Furber, Robert	Radboud University, Nijmegen
Gaudreau-Lamarre, Pierre	University of Ottawa
Georgescu, Magdalena	University of Toronto
Giordano, Thierry	University of Ottawa
González-Guillén, Carlos	University of Ottawa
Hamzo, Chadi	University of Ottawa
Handelman, David	University of Ottawa
Hosseini, Maryam	University of Ottawa
Kennedy, Matthew	Carleton University
Khan, Sakif Hossain	University of Ottawa
Mehta, Arthur	Carleton University
McDonald, Alexander	University of Ottawa
Mingo, James A.	Queen's University
Neufang, Matthias	Carleton University
Rakotoarisoa, Tantely	University of Ottawa
Roumen, Frank	Radboud University, Nijmegen
Roy, Sutanu	University of Ottawa & Carleton University
Ruan, Zhong-Jin	University of Illinois at Urbana-Champaign
Saber, Hicham	University of Ottawa
Scott, Philip	University of Ottawa
Spronk, Nico	University of Waterloo
St-Jules, Michael	University of Ottawa
Starling, Charles	University of Ottawa
Vergnioux, Roland	Université de Caen Basse-Normandie
Viola, Grazia	Lakehead University
Woronowicz, Stanisław Lech	IMPAN-Warsaw