Statistical-mechanics and quantum-field-theory methods in combinatorial enumeration

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Workshop theme

Our aim is to bring together theoretical physicists and mathematicians working on combinatorial aspects of statistical mechanics, mainly related to regular and random lattice models, as well as on growth and SLE problems, and including:

Combinatorics of integrable lattice models, with focus around the Razumov Stroganov conjecture and general exclusion processes;
Limit shapes from representation-theoretical and field-theoretical points of view;
Combinatorics of random graphs or maps, including random trees and spatial branching processes;
Growth problems, with focus on SLE, CFT and quantum gravity.

Timetable

Monday 21st April 2008
08:30 to 09:55	Registration	No Room Required
09:55 to 10:00	Welcome - David Wallace	No Room Required
10:00 to 11:00	Bertrand Eynard CEA/Saclay Partitions, matrix models, and geometry	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	The continuous limit of random planar maps	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
14:00 to 15:00	Olivier Bernardi A bijection for covered maps on orientable surfaces	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Jérémie Bouttier CEA/Saclay Vacancy localisation in the square dimer model, statistics of geodesic in large quadrangulations	Room 1
16:30 to 17:30	Satya Majumdar Université Paris Saclay Large deviation of the top eigenvalue of a random matrix	Room 1
17:30 to 18:30	Welcome Wine Reception	No Room Required
18:30 to 19:00	Dinner at Churchill College (Residents only)	No Room Required

Tuesday 22nd April 2008
09:00 to 10:00	Alexander Vitalievic Razumov Institute of High Energy Physics Three colour statistical model with 'domain wall' boundary conditions	Room 1
10:00 to 11:00	Vincent Pasquier CEA/Saclay Alternating sign matrices from a physicist point of view	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Jan De Gier University of Melbourne Algebraic structure of the q-Knizhnik-Zamolodchikov equation on a segment, partial sums and punctured plane partitions	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
14:00 to 15:00	Alain Lascoux Université de Marne-la-Vallée Gaudin functions of any order	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Soichi Okada Nagoya University Multivariate generalisation of Hankel determinants of Catalan numbers and middle binomial coefficients	Room 1
18:30 to 19:00	Dinner at Churchill College (Residents only)	No Room Required

Wednesday 23rd April 2008
09:00 to 10:00	Stanislav Smirnov Observatoire Astronomique de l'Universite de Geneve Conformal invariance and universality in the 2D lsing model	Room 1
10:00 to 11:00	Bernard Nienhuis University of Helsinki Entanglement in the XXZ chain	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Jesper Jacobsen Université Paris Saclay Exact valence bond entanglement entropy in the XXZ and related spin chains	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
14:00 to 15:00	Xavier Gérard Viennot Université Bordeaux 1 Alternative tableaux, permutations and partially asymmetric exclusion process	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Kirone Mallick CEA/Saclay The asymmetric exclusion process: an integrable model for non-equilibrium statistical mechanics	Room 1
18:30 to 19:00	Dinner at Churchill College (Residents only)	No Room Required

Thursday 24th April 2008
09:00 to 10:00	Nicolai Reshetikhin University of California, Berkeley Dimer partition functions on surface graphs of higher genus	Room 1
10:00 to 11:00	David Wilson Microsoft (UK) Boundary partitions in trees and dimers	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Mihai Ciucu Indiana University Dimer packings with gaps and electrostatics: boundary interactions	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
14:00 to 15:00	Christian Krattenthaler Technische Universität Wien Exact enumeration of plane partitions and rhombus tilings	Room 1
15:00 to 15:30	Tea	No Room Required
15:30 to 16:30	Cédric Boutillier Université Pierre et Marie Curie Paris The bead model	Room 1
19:30 to 23:00	Conference Dinner at Jesus College (in the Upper Hall)	No Room Required

Friday 25th April 2008
09:00 to 10:00	Fa Yueh Wu Northeastern University Theory of electric networks: the two-point resistance and impedance	Room 1
10:00 to 11:00	Anthony Guttmann University of Melbourne Prudent and quasi-prudent self-avoiding walks and polygons	Room 1
11:00 to 11:30	Coffee	No Room Required
11:30 to 12:30	Thomas Prellberg Queen Mary University of London Counting lattice paths with the kernel method	Room 1
12:30 to 13:30	Lunch at Churchill College	No Room Required
18:30 to 19:00	Dinner at Churchill College (Residents only)	No Room Required

Statistical-mechanics and quantum-field-theory methods in combinatorial enumeration

Speakers

Olivier Bernardi
Cédric Boutillier Université Pierre et Marie Curie Paris
Jérémie Bouttier CEA/Saclay
Mihai Ciucu Indiana University
Jan De Gier University of Melbourne
Bertrand Eynard CEA/Saclay
Anthony Guttmann University of Melbourne
Jesper Jacobsen Université Paris Saclay
Christian Krattenthaler Technische Universität Wien
Alain Lascoux Université de Marne-la-Vallée
Satya Majumdar Université Paris Saclay
Kirone Mallick CEA/Saclay
Bernard Nienhuis University of Helsinki
Soichi Okada Nagoya University
Vincent Pasquier CEA/Saclay
Thomas Prellberg Queen Mary University of London
Alexander Vitalievic Razumov Institute of High Energy Physics
Nicolai Reshetikhin University of California, Berkeley
Stanislav Smirnov Observatoire Astronomique de l'Universite de Geneve
Xavier Gérard Viennot Université Bordeaux 1
David Wilson Microsoft (UK)
Fa Yueh Wu Northeastern University

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Statistical-mechanics and quantum-field-theory methods in combinatorial enumeration

Workshop theme

Timetable

Speakers

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