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NATO Advanced Study Institute

Conformal Invariance and
Random Spatial Processes

Edinburgh, 8 to 19 July 2003

Scientific Programme | ASI Arrangements | Application Forms | ASI Home Page

Scientific Programme

Timetable

First four days = courses at an introductory level.
Final part = series of talks introducing current, cutting-edge research.

Wednesday 9 July
0900-1030 Lawler - An introduction to the Schramm-Loewner evolution - 1
1100-1230 Johansson - Random matrix theory and related problems in combinatorics - 1
1230-1430 Lunch
1430-1600 Cardy - Random loop models and Coulomb gas methods - 1
1630-1800 Kenyon - Methods used to establish conformal invariance for lattice models - 1

Thursday 10 July
0900-1030 Lawler - An introduction to the Schramm-Loewner evolution - 2
1100-1230 Johansson - Random matrix theory and related problems in combinatorics - 2
1230-1430 Lunch
1430-1600 Werner - Conformal restriction and related questions - 1
1630-1800 Cardy - Random loop models and Coulomb gas methods - 2

Friday 11 July
0900-1030 Lawler - An introduction to the Schramm-Loewner evolution - 3
1100-1230 Johansson - Random matrix theory and related problems in combinatorics - 3
1230-1430 Lunch
1430-1600 Werner - Conformal restriction and related questions - 2
1630-1800 Kenyon - Methods used to establish conformal invariance for lattice models - 2

Saturday 12 July
0900-1030 Werner - Conformal restriction and related questions - 3
1100-1230 Cardy - Random loop models and Coulomb gas methods - 3
1230-1430 Lunch
1430-1600 Kenyon - Methods used to establish conformal invariance for lattice models - 3

Monday 14 July
0900-1000 Werner
1030-1130 Bernard - Conformal field theories of stochastic Loewner evolutions - 1
1200-1345 Lunch
1345-1445 Cardy - Multiple SLEs
1500-1600 Duplantier - 1
1630-1730 Dubèdat - Around SLE duality

Tuesday 15 July
0900-1000 Sheffield - Level sets and flow lines of the Gaussian free field
1030-1130 Aizenmann - 1
1200-1345 Lunch
1345-1445 Bernard - Conformal field theories of stochastic Loewner evolutions - 2
1500-1600 Khanin
1630-1730 Friedrich - Analytic geometry aspects of SLE

Wednesday 16 July
0900-1000 Aizenmann - 2
1030-1130 Duplantier - 2
1145-1245 Kennedy - Monte Carlo tests of conformal invariance and SLE predictions for the self-avoiding walk
Thursday 17 July
0900-1000 Wilson - Conformal Radii of Loop Models - 1
1030-1130 Bauer, R - Chordal Loewner evolution, its approximation, and connections with noncommutative probability
1200-1345 Lunch
1345-1445 Kennedy - An introduction to simulating the self-avoiding walk
1500-1600 Sheffield - 2
1630-1730 Beffara - SLE dimensions

Friday 18 July
0900-1000 Wilson - Conformal Radii of Loop Models - 2
1030-1130 Beffara - 2
1200-1345 Lunch
1345-1445 Lawler - Self-avoiding and Laplacian walks: a few results and a lot of conjectures
1500-1600 Contributed papers
1630-1730 Open Problems session

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