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Annual Report 2005 - Fields Institute - University of Toronto

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Canada, postdoctoral fellows from Canada, Switzerland<br />

and Sweden, PhD and MSc students from Quebec, Nova<br />

Scotia and Ontario, and some undergraduate students from<br />

Ottawa and Nova Scotia. Participants were drawn from<br />

mathematics, statistics, management, and government. The<br />

workshop provided ample time for interaction, and each<br />

session was accompanied by numerous – sometimes heated<br />

– discussions on approaches and methods for particular<br />

problems. In particular, the entire group participated in<br />

contributing ideas towards a potential research program<br />

in this area. The organizers will be pursuing this line<br />

<strong>of</strong> research and will collect the comments <strong>of</strong> workshop<br />

participants and present progress a webpage. Researchers<br />

interested in joining this group are asked to contact the<br />

organizers.<br />

Speakers:<br />

Peter Bubenik (Lausanne) for Gunnar Carlsson (Stanford)<br />

Persistent homology and directional statistics<br />

André Dabrowski (Ottawa)<br />

Aspects <strong>of</strong> statistics<br />

Ulrich Fahrenberg (Aalborg)<br />

Parallel composition <strong>of</strong> automata<br />

Alexander Gorban (Leicester)<br />

How to discover a geometry and topology in a finite dataset by<br />

means <strong>of</strong> elastic nets<br />

Peter Kim (Guelph)<br />

Nonparametrics in high dimensions<br />

Maia Lesosky (Guelph)<br />

Introduction to quantum computing<br />

Paul-Eugène Parent and Barry Jessup (Ottawa)<br />

Elements <strong>of</strong> topology<br />

Workshop on Computational Biology in the Post Genomics<br />

Era – a collaborative workshop between universities,<br />

NRC and industry<br />

March 19–20, <strong>2005</strong><br />

Held at CRM in Montreal<br />

- see the Joint <strong>Institute</strong>s Initiatives section for a description<br />

<strong>of</strong> this event<br />

G e n e r a l S c i e n t i f i c A c t i v i t i e s<br />

Carleton Functional Analysis Day <strong>2005</strong><br />

April 12, <strong>2005</strong><br />

Held at Carleton <strong>University</strong><br />

Organizers: C.K. Fong, Wojciech Jaworski and Matthias<br />

Neufang (Carleton)<br />

This successful meeting, sponsored by the <strong>Fields</strong> <strong>Institute</strong><br />

brought together world-class specialists in various areas <strong>of</strong><br />

modern analysis where quantum methods play a crucial<br />

role. It consisted <strong>of</strong> four hour-long lectures that surveyed<br />

and described recent developments in non-commutative<br />

geometry, operator spaces and quantum field theory.<br />

The event attracted many young Canadian researchers<br />

representing diverse areas <strong>of</strong> mathematics, including graduate<br />

students and postdoctoral fellows. The talks produced<br />

lively discussions and research collaboration among the<br />

participants.<br />

Speakers:<br />

David Blecher (Houston)<br />

On the necessity <strong>of</strong> operator space methods<br />

Masoud Khalkhali (UWO)<br />

Locally compact quantum groups, non-commutative geometry,<br />

and cyclic cohomology<br />

Zhong-Jin Ruan (Urbana-Champaign)<br />

Operator spaces and their applications to harmonic analysis<br />

Israel Michael Sigal (<strong>Toronto</strong>)<br />

Spectral and dynamical problems arising in quantum field<br />

theory<br />

Ontario Combinatorics Workshop<br />

April 15–16, <strong>2005</strong><br />

Held at the <strong>Fields</strong> Insstitute<br />

Organizers: Chris Godsil and Bruce Richter (Waterloo)<br />

This workshop brought together graduate students studying<br />

Combinatorics from (southern) Ontario so that they<br />

could get an idea <strong>of</strong> the scope and depth <strong>of</strong> their subject. In<br />

addition, it provided students with an opportunity to meet<br />

faculty from other institutions at which they might wish to<br />

pursue their studies or careers. It was also a useful opportunity<br />

for the faculty to maintain contact with each other.<br />

The conference included twelve 25-minute student pre-<br />

<strong>Fields</strong> <strong>Institute</strong> <strong>2005</strong> ANNUAL REPORT 72

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