Home /  Introductory Workshop: Lattice Models and Combinatorics


Introductory Workshop: Lattice Models and Combinatorics January 16, 2012 - January 20, 2012
Registration Deadline: January 16, 2012 over 12 years ago
To apply for Funding you must register by: October 16, 2011 over 12 years ago
Parent Program:
Organizers Cédric Boutillier (Université Pierre et Marie Curie), Tony Guttmann* (University of Melbourne), Christian Krattenthaler (University of Vienna), Nicolai Reshetikhin (University of California, Berkeley), and David Wilson (Microsoft Research)

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Dedicated to the memory of Philippe Flajolet 1/12/1948-22/3/2011 http://algo.inria.fr/pfac/PFAC/Tributes.html   Research at the interface of lattice statistical mechanics and combinatorial problems of ``large sets" has been and exciting and fruitful field in the last decade or so. In this workshop we plan to develop a broad spectrum of methods and applications, spanning the spectrum from theoretical developments to the numerical end. This will cover the behaviour of lattice models at a macroscopic level (scaling limits at criticality and their connection with SLE) and also at a microscopic level (combinatorial and algebraic structures), as well as efficient enumeration techniques and Monte Carlo algorithms to generate these objects.           Accommodation: A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. A block of rooms has been reserved at the Hotel Durant. Please mention MSRI and the workshop name when making reservations via phone, fax or e-mail. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is Midnight on the day of Friday, December 16, 2011. The rate is $110 per night plus tax. MSRI has a preferred rate of $142 at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI rate; or go to Hotel Shattuck Plaza and enter dates of stay at top of screen and click Book Now.  Once on the reservation page, click Preferred/Corporate Rate Accounts and input the code "MSRI11".  
Keywords and Mathematics Subject Classification (MSC)
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Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Jan 16, 2012
08:55 AM - 09:15 AM
09:15 AM - 10:15 AM
  Philippe Flajolet, founder of Analytic Combinatorics
Mireille Bousquet-Melou (Université de Bordeaux I)
10:15 AM - 10:45 AM
10:45 AM - 11:45 AM
  Second class particles in exclusion processes and "jeu de taquin" on infinite Young tableaux
Dan Romik (University of California, Davis)
11:45 AM - 01:45 PM
01:45 PM - 02:45 PM
  Six-vertex and eight-vertex models on their combinatorial line
Paul Zinn-Justin (University of Melbourne)
02:45 PM - 03:15 PM
03:15 PM - 04:15 PM
  Exact corner free energies for two-dimensional integrable lattice models
Jesper Jacobsen
Jan 17, 2012
09:30 AM - 10:30 AM
  Discrete Integrable Systems and Cluster Algebras
Philippe Di Francesco (University of Illinois at Urbana-Champaign)
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  6-Vertex and O(1) Dense Loop Model: Correspondences of Razumov-Stroganov type
Andrea Sportiello
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Macdonald processes and random directed polymers
Alexei Borodin (Massachusetts Institute of Technology)
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  Finite size Emptiness Formation probability for the XXZ spin chain at $Delta=-1/2$
Luigi Cantini
04:30 PM - 05:30 PM
  Software Demos
David Wilson (University of Washington)
05:30 PM - 07:00 PM
  Welcome Reception
Jan 18, 2012
09:00 AM - 10:00 AM
  Combinatorics of the asymmetric simple exclusion process
Lauren Williams (Harvard University)
10:00 AM - 10:30 AM
10:30 AM - 11:30 AM
  A nested loop approach to percolation on random triangulations
Olivier Bernardi
11:30 AM - 12:30 PM
  The scaling limit of random plane quadrangulations
Grégory Miermont
Jan 19, 2012
09:30 AM - 10:30 AM
  The form factor approach to correlation functions in critical integrable models
Jean-Michel Maillet
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  Arctic curves of the six-vertex model
Filippo Colomo (INFN - National Institute for Nuclear Physics)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  The interaction of diagonal defects in a dimer system on the square lattice
Mihai Ciucu
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  Combinatorics of critical Ising model via dimers
Beatrice de Tiliere (Sorbonne Université)
Jan 20, 2012
09:30 AM - 10:30 AM
  Conformal Invariance of Ising Model Correlations
Clément Hongler (École Polytechnique Fédérale de Lausanne (EPFL))
10:30 AM - 11:00 AM
11:00 AM - 12:00 PM
  A renormalisation group analysis of the 4-dimensional weakly self-avoiding walk
Gordon Slade (University of British Columbia)
12:00 PM - 02:00 PM
02:00 PM - 03:00 PM
  Critical temperature of ferromagnetic layered Ising models
Zhongyang Li (University of Connecticut)
03:00 PM - 03:30 PM
03:30 PM - 04:30 PM
  Banded states and limit shapes in the Ising model
Richard Kenyon (Brown University)