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International Workshops on
STATISTICAL MECHANICS AND INTEGRABLE SYSTEMS

20-26 July 1997, Coolangatta, Queensland.
28 July - 8 Aug 1997, Australian National University, Canberra.

These workshops were held immediately after the XIIth International Congress of Mathematical Physics to be held in Brisbane from 13-19 July 1997. Participants were encouraged to attend the Congress. Details of which can be obtained from icmp97@maths.uq.oz.au or via the WWW homepage http://www.maths.uq.oz.au/~icmp97 .

ORGANISERS

The workshops were organised by Murray T Batchelor, Rodney J Baxter and Vladimir V Bazhanov of the School of Mathematical Sciences and the National Centre for Theoretical Physics in the Australian National University.

SITES

The first workshop was held at the Greenmount Beach Resort in Coolangatta, Queensland, 20-26 July 1997. The second workshop was held at the Australian National University in Canberra, 28 July - 8 August 1997.

PROGRAM

The emphasis of the workshops was on various aspects of statistical mechanics and integrable systems, including;

exactly solved lattice models, phase transitions and critical phenomena, integrability, algebraic techniques, Rogers-Ramanujan- type identities, systems of strongly correlated electrons, self-avoiding walks.

COOLANGATTA PROGRAM

The Coolangatta workshop was supported by the US/Australia Bilateral Science & Technology Collaboration Program. Talks at Coolangatta was limited to the invited participants. There was an opportunity to present contributed posters.

Sunday 20 July

6pm Reception

Monday 21 July

9.00 - 10.00: O. Foda, University of Melbourne: Combinatoric aspects of exactly-solvable lattice models

10.30 - 11.30: J-M Maillard, Universite Pierre et Marie Curie, Paris: Free-fermion conditions in two- and three- dimensional lattices

11.30-12.30: F.Y. Wu, Northeastern University: The exact solution of a 3D dimer model

5.00 - 6.00: A. Owczarek, University of Melbourne: Transfer matrices and recurrence relations: a unified approach

6.00 - 7.00: P.J. Forrester, University of Melbourne: Random matrices and the statistics of the zeros of the Riemann zeta function

Tuesday 22 July

9.00 - 10.00: B.M. McCoy, State University of New York at Stony Brook: Bose-Fermi identities in solvable models

10.00 - 10.30: Poster session:

H. Awata, University of Chicago: Deformed Virasoro algebra, free field realization for elliptic affine Lie algebra and their application for non-critical phenomena

M. Baake, J. Hermisson, M. Hoffe and C.Richard, Tuebingen: Random tilings and dimer models

E.J.Beggs, University of Wales, Swansea: Meromorphic loops and affine Toda solitons

A. Foerster, J. Links and I. Roditi, : Integrable multiparametric quantum spin chains

K. Hibberd, University of Queensland: The Anisotropic Supersymmetric U Model and Bethe Ansatz Equations

A. Kluemper, Koeln: Quantum phase transitions from `Haldane' to `Neel' phases in two-dimensional quantum spin systems

J. Suzuki, University of Tokyo: 1D quantum systems at finite temperatures

O. Tirkkonen, Nordita, Copenhagen: Minimal Models and the Imaginary Coupling Quantum Liouville Model

10.30 - 11.30: V.V. Bazhanov, Australian National University: Chiral Potts model and the quantum discrete Sine-Gordon model

11.30-12.30: A. L. Carey, University of Adelaide: The Hall effect in a hyperbolic geometry

4.00 - 5.00 Continuation of poster session

5.00 - 6.00: A.B. Zamolodchikov, Rutgers University: Commuting transfer matrices in Integrable Quantum Field Theory

6.00 - 7.00: S. L. Lukyanov, Cornell University: Expectations values of local fields in 2D QFT

Wednesday 23 July

9.00 - 10.00: R.J. Baxter, Australian National University: The chiral Potts spontaneous magnetization: an unsolved problem

10.30 - 11.30: J.H.H. Perk and H. Au-Yang, Oklahoma State University: Z_N and chiral models: numerical and analytic approaches

11.30-12.30: M.T. Batchelor and K. Seaton, Australian National University: Correlation lengths and E₈ masses in the dilute A₃ model

afternoon/evening: cruise and dinner

Thursday 24 July

9.00 - 10.00: G. Mussardo, SISSA, Italy: Reflection Scattering Matrix of the Ising Model in a Random Boundary Magnetic Field

10.30 - 11.30: P.A. Pearce, University of Melbourne: Calculation of conformal partition functions

11.30-12.30: M. Gould, University of Queensland: Supersymmetry and Solvable Models of Strongly-Correlated Electrons

5.00 - 6.00: A. Schilling, Instituut voor Theoretische Fysica, Amsterdam: Bailey flows between conformal field theory characters

6.00 - 7.00: R. Kedem, Univ. of California at Berkeley: Decomposition of affine sl_2 modules

Friday 25 July

9.00 - 10.00: V. Korepin, State University of New York at Stony Brook: Painleve differential equation describes quantum correlation functions of the xxz antiferromagnet outside the free fermionic point

10.30 - 11.30: P. Fendley, Los Alamos National Laboratory: Integrability, Supersymmetry, and 2d Polymers

11.30-12.30: A Berkovich, Pennsylvania State University: Trinomial analogue of Bailey's lemma and its applications in conformal field theory and integrable models

5.00 - 6.00: A.J. Guttmann, University of Melbourne: Vicious walkers with and without walls

6.00 - 7.00: F. Lesage, Univ. of Southern Calif.: Soluble model of 1d quantum wires with an impurity

Saturday 26 July

9.30 - 10.00: P. Bouwknegt, University of Adelaide: Quasi-particles in 2D Conformal Field Theories

10.00 - 10.30: A. Kuniba, University of Tokyo: Characters of Demazure modules and solvable lattice models

List of Participants at Coolangatta
Dr. D. Abraham, Oxford University
Dr H. Au-Yang, Oklahoma State University
Dr Michael Baake, University of Tuebingen
M.T. Batchelor, Australian National University
Professor R.J. Baxter, Australian National University
Dr. V.V. Bazhanov, Australian National University
Dr Edwin Beggs, University of Wales
Prof A Berkovich, Pennsylvania State University
Dr P Bouwknegt, University of Adelaide
Professor A. L. Carey, University of Adelaide
Dr Paul Fendley, Los Alamos National Laboratory
Dr. O. Foda, University of Melbourne
Dr. P.J. Forrester, University of Melbourne
Dr. M. Gould, University of Queensland
Professor A.J. Guttmann, University of Melbourne
Katrina Hibberd, University of Queensland
Prof. B.Y. Hou, China
Iwan Jensen,, University of Melbourne
Dr A. Kluemper, Koeln University
Professor V Korepin, State University of New York at Stony Brook
A/Prof. A. Kuniba, University of Tokyo at Komaba
Jon Links, University of Queensland
Professor Sergei L. Lukyanov, Cornell University
Dr J-M Maillard, Universite Pierre et Marie Curie, Paris
Professor B.M. McCoy, State University of New York at Stony Brook
Guiseppe Mussardo, SISSA, Italy
Dr. A. Owczarek, University of Melbourne
Dr. P.A. Pearce, University of Melbourne
Professor J.H.H. Perk, Oklahoma State University
Dr A. Schilling, Instituut voor Theoretische Fysica, Amsterdam
Dr. Katherine Seaton. LaTrobe University
Dr J. Suzuki, University of Tokyo at Komaba
Dr Taichiro TAKAGI, The National Defense Academy, Japan
Olav Tirkkonen, Nordita, Denmark
Professor F.Y. Wu, Northeastern University, Boston
Professor A.B. Zamolodchikov, Rutgers University, New Jersey
Dr Y.K. Zhou, Australian National University

CANBERRA PROGRAM

Monday 28 July

9 - 10 am: B.M. McCoy, State University of New York at Stony Brook: The E₈ Ising model and the theory of Bailey flows

10.30 - 11.30: A. Schilling, Instituut voor Theoretische Fysica, Amsterdam: Multi- and Supernomial coefficients

11.30 - 12.30: A.B. Zamolodchikov, Rutgers University: Finite size spectrum in Integrable Quantum Field Theory

Tuesday 29 July

9 - 10 am: Hitoshi Konno, Hiroshima University: Deformation of Coset Conformal Field Theory and Fusion RSOS Model

10.30 - 11.30: J. Suzuki, University of Tokyo, Komaba: 1D quantum systems at finite temperatures

11.30 - 12.30: A. Bobenko, FB Mathematik, Berlin: Hyperelliptic functions in geometry and their computation

Wednesday 30 July

9 - 10 am: V Korepin, State University of New York at Stony Brook: Time and temperature dependent correlation functions of the isotropic XY model in an external magnetic field

10.30 - 11.30: K. Hibberd, University of Queensland: The Anisotropic Supersymmetric U Model and Bethe Ansatz Equations

11.30 - 12.30: M.T. Batchelor, Australian National University: The latest on boundary integrability: from polymer networks to the E₈ Ising model

4pm: School of Mathematical Sciences Colloquium: Alexander Bobenko, FB Mathematik, Berlin: Discrete conformal maps and surfaces.

Thursday 31 July

9 - 10 am: A. Kuniba, University of Tokyo, Komaba: Continued Fraction TBA and Functional Relations in XXZ Model at Root of Unity

10.30 - 11.30: P.A. Pearce, Melbourne University: Scaling limit of integrable lattice models and TBA equations

11.30 - 12.30: V.V. Bazhanov, Australian National University: The Yang-Baxter Relations in Quantum Field Theory

Friday 1 August

9 - 10 am: T. Inami, Chuo University: Higher-dimensional extension of the WZW model and n-toroidal Lie algebra

10.30 - 11.30: O. Tirkkonen, Nordita: Minimal Models and the Imaginary Coupling Quantum Liouville Model

11.30 - 12.30: H-P. Eckle, University of Jyvaeskylae, Finland: Integrable quantum impurity models in many-body physics

Sunday 3 August, 10am to 6pm

Bus trip to Tidbinbilla nature reserve

Monday 4 August

9 - 10 am: B.Y. Hou, China: On classical and quantum W-algebra

10.30 - 11.30: J-M Maillard, Universite Paris VI: Birational integrable mappings

11.30 - 12.30: H. Au-Yang and J.H.H. Perk, Oklahoma State University: Phase diagram of the Z5 model

Tuesday 5 August

9 - 10 am: G. Albertini, Universita di Milano: Some new results on the asymmetric six-vertex model

10.30 - 11.30: A Berkovich, Pennsylvania State University: Generalizations of the Rogers-Ramanujan identities

11.30 - 12.30: F.Y. Wu, Northeastern University: The exact solution of interacting dimers on the honeycomb lattice

Wednesday 6 August

9 - 10 am: A. Klumper, Koln University: The quantum transfer matrix approach to the thermodynamics of the Hubbard model

10.30 - 11.30: A. Foerster, Instituto de Fysica da UFRGS, Brazil: The susy t-J model and its quantum group invariant versions

11.30 - 12.30: F. Lesage, Univ. of Southern Calif.: Correlators in integrable impurity problems: form factor approach and progress towards finite temperature

Thursday 7 August

9 - 10 am: T. Takagi, The National Defense Academy, Japan: Integral Representation of the Correlations around a Vertex of the Six-Vertex Model

10.30 - 11.30: S. L. Lukyanov, Cornell University: Off-critical symmetry in the integrable Restricted Solid-on-Solid model

11.30 - 12.30: D. Abraham, University of Oxford: Exact path-summation representations for correlation functions and for wetting problems

4pm School of Mathematical Sciences Colloquium (preceded by tea at 3.30): Barry McCoy: History and current status of Rogers-Ramanujan identities

Friday 8 August

9 - 10 am: R.J. Baxter, Australian National University: Three-dimensional free-fermion and Zamolodchikov models

10.30 - 11.30: C. Richard, University of Tubingen: Solvable models and random tilings

11.30 - 12.30: Y.K. Zhou, Australian National University: TBA

List of Participants at Canberra
* denotes a participant who also attended the XIIth International Congress of Mathematical Physics, Brisbane 13 - 19 July 1997

1. Dr. D. Abraham, Oxford University *
2. Dr G Albertini, Universita di Milano
3. Dr. Helen Au-Yang, Oklahoma State University *
4. Dr. M.T. Batchelor, SMS, ANU *
5. Professor R.J. Baxter, R.S.Phys.SE and SMS, ANU *
6. Dr. V.V. Bazhanov, R.S.Phys.SE and SMS, ANU *
7. Prof A Berkovich, Pennsylvania State University
8. Professor Alexander Bobenko, FB Mathematik, Berlin *
9. Dr. B. Davies, SMS, ANU *
10. Dr H-P Eckle, University of Jyvaeskylae, Finland *
11. Mr. R. Ellem, R.S.Phys.SE, ANU *
12. Dr. O. Foda, Maths, Melbourne
13. Dr. A. Foerster, Instituto da UFRGS, Brazil *
14. Mr. A. Hibberd, R.S.Phys.SE, ANU *
15. Katrina Hibberd, maths, University of Queensland *
16. Prof. B.Y. Hou, Northwest University, China *
17. Prof Takeo Inami, Chuo University, Japan
18. Mr. B-Q Jin, Olkahoma State University *
19. Dr. R. Kedem, University of California at Berkeley
20. Dr A. Kluemper, Koeln University *
21. Dr Hitoshi Konno, Hiroshima University, Japan *
22. Professor V Korepin, State University of New York at Stony Brook *
23. A/Prof. A. Kuniba, University of Tokyo, Komaba
24. F. Lesage, Univ. of Southern Calif.
25. Dr J-M Maillard, Universite Paris VI *
26. Professor B.M. McCoy, State University of New York at Stony Brook *
27. Professor G. Mussardo, SISSA, Italy *
28. Dr. P.A. Pearce, Maths, Melbourne *
29. Professor J.H.H. Perk, Oklahoma State University *
30. Mr C. Richard, Universitat Tubingen *
31. Dr A. Schilling, Instituut voor Theoretische Fysica,Amsterdam *
32. Dr J. Suzuki, University of Tokyo, Komaba
33. Dr Taichiro Takagi, The National Defense Academy, Japan
34. Dr. H. Tsukahara, Chuo University, Japan
35. Professor F.Y. Wu, Northeastern University, Boston
36. Professor A.B. Zamolodchikov, Rutgers University, New Jersey *
37. Dr Y.K. Zhou, SMS, ANU *

ELECTRONIC ADDRESSES

A link to the Workshops WWW homepage will be via http://wwwmaths.anu.edu.au/research.groups/mathphys .

The workshop email address is murrayb@maths.anu.edu.au .

This page was last modified 9th March, 1998.
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