Leeds Statistical Mechanics Discussion Group

Previous meetings: Winter 08 session (including scans of participants' notes)

Spring 09 session

11th meeting: January 29th (Thursday) 2pm Mall 1
1. Robert Marsh: "Potts partition functions -- Concatenating graphs II."

12th meeting: Feb 5th (Thursday) 2pm Magic Room
1. Robert Marsh: "The Potts transfer matrix: rise of the Temperley-Lieb algebras."

13th meeting: Feb 12th (Thursday) 2pm Mall 1
1. Robert Marsh: "The Potts transfer matrix: Temperley-Lieb algebras II."

14th meeting: Feb 19th (Thursday) 2pm Mall 1
1. Robert Marsh: "The Potts transfer matrix: Temperley-Lieb algebras III."

15th meeting: Feb 26th (Thursday) 2pm Magic Room
1. Peter Crompton: "The Tutte polynomial I."
References: The Computational Complexity of some classical problems from Stat Phys (Welsh)
Inapproximability of the Tutte polynomial (Goldberg)
The Computational Complexity of Tutte Invariants for Planar Graphs (Vertigan)

16th meeting: Mar 5th (Thursday) 2pm Mall 1
1. Peter Crompton: "The Tutte polynomial II: #P Strikes Back - Return of the Matroid"

17th meeting: Mar 12th (Thursday) 2pm Leeds Art Gallery (Main Lecture Theatre) (*NOTE VENUE!*)
1. Jeanne Scott: "Laurent expansions for Plucker coordinates via perfect matchings." (slides)

18th meeting: Mar 19th (Thursday) 2pm Mall 1
1. Peter Crompton: "Non-perturbative Quantum effects"

• Some lecture notes (MIT)
• Critical phenomena (book by Zinn-Justin)
• Zuber
• Martin
• Mattis
• Integrable systems in Statistical Mechanics
• Paul's pages on Stat Mech and partition function zeros
• Peter's paper on Yang-Lee partition function zeroes (links to some classic papers)

(Peter to Robert, on quivers in SM)
I have attached some stuff on the connections between quivers and 
Statistical Mechanics for Thursday. I hope some of its helpful ...

0011192v3 - is a handwaving way to define a quiver in Physics

0503149v2 - is a way of defining Statistical Mechanics from quivers

jehp122005025 - is an explicit quiver for the Ising model

0302228v1 - is formally why duals aren't very well defined ideas in
             (space+time) models of Physics. The mapping is known as
             "Wick-rotation", and to further confuse the issue, Physicists
             also interchange Euclidean-time with the temperature "beta"
             in this context.

0610003v2 - is a bit more what I'm doing on "time", using a description of 
9911114v1   the singularities associated with covering maps (space+time
             -> space) called asymptotic freedom.  

(Matt to Sathish, on temperature)
... (omitted -- hopefully Sathish's notes will abstract this)

Organisers: Sathish, Jeanne and Paul