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Workshop

Introductory Workshop: Lattice Models and Combinatorics January 16, 2012 - January 20, 2012
Registration Deadline: January 16, 2012 over 2 years ago
To apply for Funding you must register by: October 16, 2011 over 2 years ago
Parent Program: Random Spatial Processes
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)
Speaker(s)

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Description
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".

 


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 Ph.D.'s, 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.

Show Lodging

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax 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- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Jan 16, 2012
Monday
08:55 AM - 09:15 AM
  Welcome
09:15 AM - 10:15 AM
  Philippe Flajolet, founder of Analytic Combinatorics
Mireille Bousquet-Melou (University de Bordeaux 1)
10:15 AM - 10:45 AM
  Tea
10:45 AM - 11:45 AM
  Second class particles in exclusion processes and "jeu de taquin" on infinite Young tableaux
Dan Romik
11:45 AM - 01:45 PM
  Lunch
01:45 PM - 02:45 PM
  Six-vertex and eight-vertex models on their combinatorial line
Paul Zinn-Justin
02:45 PM - 03:15 PM
  Tea
03:15 PM - 04:15 PM
  Exact corner free energies for two-dimensional integrable lattice models
Jesper Jacobsen
Jan 17, 2012
Tuesday
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
  Tea
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
  Lunch
02:00 PM - 03:00 PM
  Macdonald processes and random directed polymers
Alexei Borodin (Massachusetts Institute of Technology)
03:00 PM - 03:30 PM
  Tea
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
Wednesday
09:00 AM - 10:00 AM
  Combinatorics of the asymmetric simple exclusion process
Lauren Williams (University of California, Berkeley)
10:00 AM - 10:30 AM
  Tea
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
Thursday
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
  Tea
11:00 AM - 12:00 PM
  Arctic curves of the six-vertex model
Filippo Colomo (National Institute of Nuclear Physics (INFN))
12:00 PM - 02:00 PM
  Lunch
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
  Tea
03:30 PM - 04:30 PM
  Combinatorics of critical Ising model via dimers
Beatrice de Tiliere (Université de Paris VI (Pierre et Marie Curie))
Jan 20, 2012
Friday
09:30 AM - 10:30 AM
  Conformal Invariance of Ising Model Correlations
Clément Hongler
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  A renormalisation group analysis of the 4-dimensional weakly self-avoiding walk
Gordon Slade
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Critical temperature of ferromagnetic layered Ising models
Zhongyang Li
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Banded states and limit shapes in the Ising model
Richard Kenyon (Brown University)