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To get the ball rolling, Jeanne Scott chaired initial meetings nominally explaining Potts models, partition functions, Tutte polynomials, matching polynomials and so on (and hoping to provoke participants into helping with any basic questions that arise). Paul has contributed this (draft) basic summary (very draft update here) ; and slides of several past review talks are linked below. Participants will be encouraged to contribute their own themes and connections for discussion.
All welcome.
Weekly (Tuesday 3-5 approx, PRD 9.305): When is a fusion category not
a UMTC (or, why are 3d TQFTs so different; and where are the anyons)?
Wed 12th November, 2014
12:00 PM
Richard A. Blythe (University of Edinburgh )
The evolution of combinatorial communication by natural selection
Friday 14th November, 2014
Roger Stevens 19, 4:00 PM
Sid Redner (Santa Fe Institute and Department of Physics, Boston University)
Fate of the Kinetic Ising and Potts Model
Wed 26th November, 2014
12:00 PM
Samir Suweis (University of Padova (IT))
From Patterns to Principles: Statistical Physics of Ecological Networks
Nov 8th (Friday), 2pm, MALL2
1. PBR category I: Definitions (Chwas)
Nov 14th (Thursday), 2pm, MAGIC room
1. PBR category II: Algebras in low rank (Chwas)
Nov 15th (Friday), 1pm, MALL2
1. Welcome meeting , Open discussion and Intro to quasifree fermions (Chair: Zoltan)
Nov 21st (Thursday), 2pm, venue TBA
1. PBR category III (Chwas)
Dec 11th (Wednesday), 4pm, venue TBA
1. Fun with partition categories (Paul) (joint with
ALA)
Feb 13th (Wednesday), 3-4pm, Maths Boardroom
1. Welcome meeting and Open discussion (Chair: Rob)
Alison's pic of the meeting: in
Venn form!
Feb 20th (Wednesday), 4-5pm (NOTE CHANGE), venue Maths 8.22d
1. Open forum discussion (Chair: Rob)
2. TQFT I: Overview, Axioms and Applications (Zoltan and Paul)
abstract
Feb 27th (Wednesday), 3-4pm (NOTE CHANGE), venue Maths RVC meeting room
1. Open forum discussion (Chair: Rob)
2. TQFT II: Axioms and Applications (Zoltan and Paul)
abstract
March - May / Next few weeks: 1. Paul and Zoltan will be kicking around the subject "What the heck is a topological quantum field theory anyway?". Anyone who wants to join in should let Paul know. (Our nominal aim is to eventually say something about quantum computation; but Atiyah's and Feynman's original aims probably included things with stat mech connections, and we plan to start very broad, so this is fair game for SMDG.) Some reading: Kock's notes. Collateral reading: Karowski et al ; and see here ; ...
July 1-2, Zoltan's International Workshop, MALL1. Details here .
Further Topic Ideas for this session, and reading links:
2. Entropy and (classical) information...!
3. ...something like this ...!
1.+3. convergence maybe! Or...
Yet more collateral reading: Coecke ; and here ; and more on this line also here .
4. Jarzynski's theorem (Mike)
5. Topological aspects of mixing (Rob)
6. ...
July 18th (Wednesday),
3-4 pm, E C Stoner SR 8.62
1. Peter Finch (Hannover, Germany)
: "Spin and anyonic formulations for one-dimensional D3 and D(D3) models"
July 20th (Friday),
3-4 pm, EC Stoner Lab (10.72)
1. Benjamin Brown (Imperial College, London)
: "Topological entanglement entropy with a Twist"
July 23rd (Monday) 14:00 MALL 1
1. Gavin Brennen (Sydney):
"Low depth quantum circuits for Ising models"
July 25th (Wednesday) 12:15 QI Area (Physics)
1. Vaclav Zatloukal:
"Transport properties of anyons in random topological environments"
See email circulation for abstracts.
43rd meeting: 1. Discussion (Chair: Rob) Nov. 12th (Friday) 3pm MALL 2
44th meeting: 1. Quantum Computing (Chair: Rob) Nov. 19th (Friday) 3pm MALL 2
45th meeting: 1. Quantum Computing II (Chair: Rob) Nov. 26th (Friday) 3pm MALL 2
46th meeting: 1. Quantum Computing III: Preskill, Chapter 2 (Chair: Rob) Dec. 3rd (Friday) 3pm MALL 2
LINKS:
from Rob (Landsman's notes on Hilbert spaces)
from Matt (Preskill's more recent pages)
47th meeting: 1. Quantum Computing IV: Preskill, Chapter 2/3 (Chair: Abbas) Dec. 10th (Friday) 3pm MALL 2
39th meeting: May 13th (Thursday) 2pm Mall 2
1. Paul Martin: "(Yang-Baxter equation and) The Solution of the 2D Ising model"
40th meeting: May 20th (Thursday) 2pm Mall 2
1. Paul Martin: "Solution of the 2D Ising model"
For those wishing to join at this point (!),
page numbers 48-51 of this
roughly cover what I did last time.
41st meeting: 1. Paul Martin: "Solution of the 2D Ising model (conclusion, at last)"
38th meeting: March 11th (Thursday) 2pm Magic room
1. Paul Martin: "Toward the Solution of the 2D Ising model"
(39th meeting: postponed, twice!)
27th meeting: October 8th (Thursday) 3pm Mall 1
1. Introduction/Welcome/Discussion
28th meeting: October 9th (Friday) 3pm Mall 2
1. Andrew Reeves: "Statistical mechanics and the Temperley-Lieb algebras"
(Notes to follow.)
29th meeting: October 16th (Friday) 3pm Mall 2
1. Andrew Reeves: "Statistical mechanics and
Temperley-Lieb algebras II: 6-vertex model partition function (and possibly quantum groups)"
30th meeting: October 23th (Friday) 3pm Mall 2
1. Matt Daws: "Statistical mechanics and
von Neumann algebras I"
31st meeting: October 30th (Friday) 3pm Roger Stevens Lecture Theatre 12
1. Matt Daws: "Statistical mechanics and
von Neumann algebras II"
32nd meeting: November 6th (Friday) 3pm MALL 2
1. Rob Sturman: "Statistical mechanics, ergodic theory and
Physics"
33rd meeting: November 13th (Friday) 3pm MALL 2
1. Rob Sturman: "Statistical mechanics, ergodic theory and
Physics II"
34th meeting: November 20th (Friday) 3pm MALL 2
1. Rob Sturman: "Statistical mechanics, ergodic theory and
Physics III"
35th meeting: December 4th (Friday) 3pm MALL 2
1. Matt Daws: "Statistical mechanics, von Neumann
algebras and the Temperley-Lieb algebra"
36th meeting: December 11th (Friday) 3pm MALL 2
1. Matt Daws: "Statistical mechanics, von Neumann
algebras and the Temperley-Lieb algebra II"
Subsequently: hopefully same coordinates weekly, but if need be the time can be changed. If you would like to be in the loop, drop us an email.
Previous meetings: Winter 08 session
(including scans of participants' notes)
Previous meetings: Spring 09 session
(including scans of participants' notes)
Previous meetings: Summer 09 session
(including links for participants' notes)
(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/Scientific Committee: Paul , Matt, Rob, Robert, Sathish, Jeanne