Reading seminar in probability - Fall 2010
Thursday 4.15 - 5.45 pm
Our aim is to review the recent progress in 2D statistical physics models and other topics in probability. Our upcoming agenda is:
- Percolation: Smirnov's celebrated paper proving the conformal invariance of crossing probabilities.
- Self-avoiding walk: Smirnov's and Duminil-Copin recent paper, enumerating the number of self-avoiding paths in the hexagonal lattice.
- Ising model: Smirnov's and Smirnov and Chelkak's papers proving conformal invariance of the interface of 2D critical Ising model.
Only basic background in probability and complex analysis will be needed.
September 23: Asaf Nachmias
Conformal invariance of crossing probabilities, part I.
September 30: Asaf Nachmias
Conformal invariance of crossing probabilities, part II.
- October 7th:
- October 14th: Scott Sheffield
Schramm's proof of Watts' formula.
- October 21th: Postponed to October 26!
- October 26th (note special date!): Sam Watson
The self-avoiding walk on the hexagonal lattice, part I.
- October 28th: Dana Mendelson
The self-avoiding walk on the hexagonal lattice, part II.
- November 4th: Asaf Nachmias
Conformal invariance of the 2D Ising model, part I.
- November 11th, Veteran's day.
- November 18th: Olivier Bernardi
Conformal invariance of the 2D Ising model, part II.
- November 24th, 2-103, 3-4:30pm (note special date and time!): Dana Mendelson
Connection probabilities and RSW-type bounds for the FK Ising model
For organizational matters and participation please contact Asaf Nachmias.
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