The Baxter Revolution in Mathematical Physics

The Australian National University

13-19 February 2000

Workshop Program

Sunday, February 13
4.30pm Informal Reception at Liversidge Court
Monday, February 14
Huxley Lecture Theatre
Time Speaker Title
8.30 Registration and Coffee
9.00 Frank Jackson (Director IAS) Workshop opening
9.15 Barry McCoy (Stony Brook) The Baxter Revolution
10.00 Coffee Break and Registration (continued)
10.30 Bernard Nienhuis (Amsterdam) Packing order: tiles and colors
11.15 Chris Hamer (UNSW, Sydney) Finite-size scaling and effective Lagrangians at quantum phase transitions
11.45 Andreas Klumper (Dortmund) Thermodynamics of integrable quantum chains
12.15 Lunch
2pm Jaan Oitmaa (UNSW, Sydney) Ladders, combs, bilayers and brushes
2.30pm Yuri Stroganov (RIMS, Kyoto) Ground state of the quantum symmetric finite size XXZ spin chain with anisotropy parameter Delta = 1/2
3pm Coffee Break
3.30pm Reinout Quispel (La Trobe, Melbourne) Piecewise-linear integrable systems
4pm Chaiho Rim (Chonju, Korea) Reflection amplitudes and one point function of (affine) Toda field theories
4.30pm Reception -- Tea Room Oliphant Building
Tuesday, February 15
Huxley Lecture Theatre
Time Speaker Title
9.00 R J Baxter (ANU) Models I have known
9.45 Paul Wiegmann (Chicago) Arithmetics and Cantor spectra of integrable models: Hofstadter problem
10.30 Coffee Break
11.00 Miki Wadati (Tokyo) Symmetric and non-symmetric bases of quantum integrable particle systems with long-range interactions
11.45 Vladimir Bazhanov (ANU) The mysterious Q
12.15 Lunch
2pm Jean-Marie Maillard (Paris) Let's Baxterise
2.30pm Aleks Owczarek (Melbourne) The combinatorics of the free fermion condition in vertex models
3pm Ian Enting (CSIRO, Melbourne) The computational complexity of series expansions for the Potts model using the finite lattice method
3.30pm Coffee Break
4-4.10pm Group Photo
6pm PUBLIC LECTURE - Vaughan Jones
Manning Clark Centre, Theatre 3
Knots
Wednesday, February 16
Haydon-Allen Lecture Theatre (The Tank)
Time Speaker Title
9.00 Tetsuji Miwa (RIMS, Kyoto) Combinatorics of coinvariants
9.45 Feodor Smirnov (Paris) Dual Baxter's equations and quantum algebraic geometry
10.30 Coffee Break -- room 1175 John Dedman Building, MSI
11.00 Omar Foda (Melbourne) Combinatorial aspects of Baxter-type models
11.30 Mark Gould (Brisbane) Type II quantum superalgebras and integrable models
12.00 Alan Carey (Adelaide) Calogero-Sutherland systems
12.30 Lunch
2pm Peter Bouwknegt (Adelaide) The universal chiral partition function in a fractional quantum Hall basis
2.30pm Atsuo Kuniba (Tokyo) Soliton cellular automata from vertex models
3pm S. Ole Warnaar (Amsterdam) Bailey's lemma and Kostka polynomials
3.30pm Coffee Break -- room 1175 John Dedman Building, MSI
4-5pm Vaughan Jones (UC, Berkeley) The quantum dodecahedron
7-11pm Workshop Dinner: Gundaroo Pub
Thursday, February 17
Huxley Lecture Theatre
Time Speaker Title
9.00 Jacques H.H. Perk (Oklahoma) Wavevector-dependent susceptibilities in quasiperiodic Ising models
9.45 Fred Wu (Boston) Dimer statistics and spanning trees
10.30 Coffee Break
11.00 Peter Forrester (Melbourne) Random matrices in a bigger picture
11.30 Tony Guttmann (Melbourne) Progress in the study of the susceptibility of 2d Ising model
12.00 Katherine Seaton (La Trobe, Melbourne) The inversion relation and the dilute A3,4,6 eigenspectrum
12.30 Lunch
2pm Jan de Gier (ANU) Fractional magnetization plateaus in exactly solved spin ladders
2.30pm Rinat Kashaev (St Petersburg) Quantum dilogarithm and strongly coupled quantum discrete Liouville model
3.00pm Tomoki Nakanishi (Nagoya) Bethe equation at q=0 and weight multiplicities
3.30pm Coffee Break
4.00pm Iwan Jensen (Melbourne) Enumerations of lattice animals and trees
4.20pm Junji Suzuki (Shizuoka) Functional relations in Stokes multipliers
4.40pm Geoff Campbell (ANU) Transforming q series into new Dirichlet series involving Riemann zeta functions
5.00pm Informal Discussion -- Tea Room Oliphant Building
Friday, February 18
Huxley Lecture Theatre
Time Speaker Title
9.00 Craig Tracy (UC, Davis) Applications of random matrix theory to combinatorics and growth processes
9.45 Alexey Zamolodchikov (Montpellier) Yang-Baxter equations in integrable relativistic field theory
10.30 Coffee Break
11.00 Paul Pearce (Melbourne) Integrable and conformal boundary conditions
11.30 Vladimir Korepin (Stony Brook) Solution of inverse scattering problem for eight-vertex model
12.00 F.C. Alcaraz (Brasil) Exact solution of asymmetric diffusion with second-class particles of arbitrary size
12.30 Lunch
2pm Mo-Lin Ge (Tianjin) Yangian symmetry in Yang-Baxter systems: applications
2.30pm Yaroslav Pugai (RIMS, Kyoto) Free field construction for ABF model in regime II
3pm Changrim Ahn (Korea) Reflection amplitudes and thermodynamic Bethe Ansatz for simply and non-simply laced affine Toda theories
3.30pm Coffee Break
4pm Helen Au-Yang (Oklahoma) Studies of Baxter's solution for the free energy of the Chiral Potts model
4.30pm James McGuire (Florida) An extension of the Bethe Ansatz: the quantum three-particle ring
5pm Informal Discussion -- Tea Room Oliphant Building
Saturday, February 19
Seminar Room Link Building
9.00 Barry McCoy (Stony Brook) The sl2 loop algebra symmetry of the six-vertex model at roots of unity
9.30 Jae Dong Noh (Seoul) Symmetry property and incompleteness of the Bethe Ansatz wave functions for Heisenberg XXZ chain
10.00 Break
10.30 Vlad Fridkin (RIMS, Kyoto) eta-dependence of the ground state energy of the finite XXZ spin chain
10.50 J. Rodrigo R. Martinez (Koln) The spin-1/2 XXZ quantum chain at finite magnetic fields: Crossover phenomena driven by temperature
11.10 Miklos Gulacsi (ANU) The exact Schrieffer-Wolff transformation
11.30 Vladimir Mangazeev (ANU) Some exact results for the Zamolodchikov model
11.50 BBQ