Annual Report 2005 - Fields Institute - University of Toronto
Annual Report 2005 - Fields Institute - University of Toronto
Annual Report 2005 - Fields Institute - University of Toronto
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Jeremy Quastel and Tom Salisbury<br />
New Directions in Probability Theory<br />
August 6–7, 2004<br />
Held at the <strong>Fields</strong> <strong>Institute</strong><br />
Organizers: Maury Bramson (Minnesota), Jeremy Quastel<br />
and Jeffrey Rosenthal (<strong>Toronto</strong>); and Tom Salisbury<br />
(<strong>Fields</strong>)<br />
The meeting was held at the <strong>Fields</strong> <strong>Institute</strong> in cooperation<br />
with the <strong>Institute</strong> for Mathematical Statistics. Recent<br />
advances in a number <strong>of</strong> areas <strong>of</strong> probability were presented.<br />
Random matrices and self-avoiding walks are two<br />
very hot areas <strong>of</strong> research and were both well represented<br />
by sessions and by special lectures by Kurt Johansson<br />
and Craig Tracy (random matrices) and Greg Lawler<br />
(self-avoiding walk). Horng-Tzer Yau also lectured on his<br />
recent important work on Brownian motion in quantum<br />
dynamics. The talks by Johansson and Yau were designated<br />
Medallion Lectures by the IMS. Other sessions were on<br />
random media, superprocesses, and Markov chains and<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 />
algorithms. The five session organizers were Craig Tracy,<br />
Greg Lawler, Michael Cranston, Tom Salisbury and Robin<br />
Pemantle.<br />
There were approximately 60 participants at the meeting.<br />
The general atmosphere was friendly and informal. A<br />
considerable amount <strong>of</strong> material was covered, but there was<br />
still sufficient time for discussion.<br />
Special Lectures:<br />
Kurt Johansson (Royal Inst. <strong>of</strong> Technology)<br />
Measures from non-intersecting paths<br />
Greg Lawler (Cornell)<br />
Self-avoiding walk in two dimensions: detailed conjectures<br />
and few results<br />
Craig Tracy (UC Davis)<br />
Differential equations for Dyson processes<br />
Horng-Tzer Yau (Stanford & Courant)<br />
Brownian motion in quantum dynamics<br />
Sixteenth Canadian Conference on Computational<br />
Geometry<br />
August 9-11, 2004<br />
Held at Concordia <strong>University</strong><br />
Organizers: Prosenjit Bose (Carleton) and Thomas Fevens<br />
(Concordia)<br />
This conference attracted 113 attendees (58 from Canada,<br />
36 from the United States, and 19 from outside <strong>of</strong> North<br />
America), and there were fifty papers presented, a selection<br />
<strong>of</strong> which will be published in special issues <strong>of</strong> the Interna-<br />
Probability Theory<br />
participants<br />
<strong>Fields</strong> <strong>Institute</strong> <strong>2005</strong> ANNUAL REPORT 61
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