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Workshop

Statistical Mechanics and Conformal Invariance March 26, 2012 - March 30, 2012
Registration Deadline: March 26, 2012 over 12 years ago
To apply for Funding you must register by: December 26, 2011 almost 13 years ago
Parent Program:
Organizers Philippe Di Francesco* (Commissariat à l' Énergie Atomique, CEA), Andrei Okounkov (Columbia University), Steffen Rohde (University of Washington ), and Scott Sheffield (Massachusetts Institute of Technology, MIT)
Speaker(s)

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Description
Our understanding of the scaling limits of discrete statistical systems has shifted in recent years from the physicists' field-theoretical approaches to the more rigorous realm of probability theory and complex analysis. The aim of this workshop is to combine both discrete and continuous approaches, as well as the statistical physics/combinatorial and the probabilistic points of view. Topics include quantum gravity, planar maps, discrete conformal analysis, SLE, and other statistical models such as loop gases. Bibliography (PDF) 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 Tuesday, February 28, 2012. The rate is $110 per night plus tax.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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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Mar 26, 2012
Monday
09:15 AM - 09:30 AM
  Welcome
09:30 AM - 10:30 AM
  Conformal invariance of double-dimer loops
Richard Kenyon (Brown University)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Discrete holomorphicity and critical boundary fugacity for the O(n) model on the honeycomb lattice
Jan DeGier (The University of Melbourne)
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Imaginary Geometry and the Gaussian Free Field
Jason Miller (California State University of Channel Islands)
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  The nested loop approach to the O(n) model on random maps
Jeremie Bouttier (Commissariat à l'Énergie Atomique (CEA))
Mar 27, 2012
Tuesday
09:30 AM - 10:30 AM
  Defining SLE in multiply connected domains using the Brownian Loop Measure
Gregory Lawler (University of Chicago)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Heat flow in non-equilibrium conformal field theory
Denis Bernard
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  SLE, KPZ and Liouville Quantum Gravity
Bertrand Duplantier (Paris-Saclay University)
02:30 PM - 03:30 PM
  Hausdorff dimension of the CLE gasket
Nike Sun (Massachusetts Institute of Technology)
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Restriction property of annulus SLE
Dapeng Zhan
05:00 PM - 07:00 PM
  Reception
Mar 28, 2012
Wednesday
09:00 AM - 10:00 AM
  Dimers and families of Cauchy-Riemann operators
Julien Dubedat (Columbia University)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Quantum Riemann Surfaces and Box-counting
Mina Aganagic (University of California, Berkeley)
11:30 AM - 12:30 PM
  Lax representation for the non-linear sigma model with a global U(1)xU(1) isometry
Sergei Lukyanov
Mar 29, 2012
Thursday
09:30 AM - 10:30 AM
  Boundary and bulk local operators in conformal field theory and SLE
John Cardy
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Taming the Integrable Zoo
Paul Fendley (All Souls College, University of Oxford)
12:00 PM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Zeros of Gaussian analytic functions- invariance and rigidity
Yuval Peres (Microsoft Research)
02:30 PM - 03:30 PM
  Random Metric and Conformal Geometries: some old and new questions
Francois David
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Conformal invariance of spin correlations in the planar Ising model
Dmitry Chelkak (École Normale Supérieure)
Mar 30, 2012
Friday
09:30 AM - 10:30 AM
  The topology of the support of the equilibrium measure in the random normal matrix model
Nikolai Makarov (California Institute of Technology)
10:30 AM - 11:00 AM
  Tea
11:00 AM - 12:00 PM
  Conformal blocks in 2d CFT, the Calogero-Sutherland model and the AGT conjecture
Didina Serban
12:00 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Conformal Invariance of Ising Model Interfaces
Clément Hongler (École Polytechnique Fédérale de Lausanne (EPFL))
03:00 PM - 03:30 PM
  Tea