# Mathematical Sciences Research Institute

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# Workshop

Critical Percolation and Conformally Invariant Processes April 30, 2001 - May 04, 2001
 Registration Deadline: May 04, 2001 almost 13 years ago January 30, 2001 about 13 years ago
Organizers Oded Schramm and Yuval Peres
Speaker(s)

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Description

MSRI's 2000-01 "Hot Topics" Workshop -- schedule now available NOTE: The first lecture of the workshop is the MSRI-Evans talk at 4:10 pm on Monday, April 30, in room 60 of Evans Hall on the Berkeley campus. Lectures will be in the Lawrence Hall of Science auditorium on Tuesday, May 1, and at MSRI on Wednesday through Friday.

Phase transitions and critical phenomena have been intensively studied in physics. From a mathematical point of view, percolation is the simplest model exhibiting a phase transition: a minute modification of parameter can effect a qualitative macroscopic change in the system. It has been recently proven that critical two dimensional percolation satisfies conformal invariance in the scaling limit, for site percolation on the triangular lattice. As a consequence, it follows that a recently discovered continuous process called Stochastic Loewner Evolution (SLE) with parameter 6, describes the scaling limit of the boundary of the critical percolation clusters in this lattice. The SLE with other parameters is conjectured to describe the scaling limits of several other discrete models in two dimensions, including loop-erased random walk and uniform spanning trees. The goals of the workshop are to bring together researchers in probability, statistical physics, complex analysis and combinatorics, to describe recent results and methods, and promote future advances. Confirmed participants include: M. Aizenman (Princeton), V. Beffara (Orsay), I. Benjamini (Weizmann Institute), C. Borgs (Microsoft), J. Cardy (Oxford), J. Chayes (Microsoft), B. Duplantier (IHP), S. Fomin (Michigan), R. Kenyon (Orsay), H. Kesten (Cornell), G. Lawler (Duke), R. Lyons (Georgia Tech), N. Makarov (CalTech), C. M. Newman (NYU), B. Nienhuis (Amsterdam), Y. Peres (U.C. Berkeley), A. Pizstora (Carnegie Melon), S. Rohde (U. Washington), G. Schaeffer (LoriaNancy), O. Schramm (Microsoft), S. Smirnov (KTH), W. Werner (Orsay), D. B. Wilson (Microsoft) Plenty of time will be reserved for informal interaction among participants. Weather in Berkeley in May is usually very pleasant, and one afternoon will be left free, allowing participants to enjoy the area. Funded in part by the National Security Agency.    Group Photo of Participants

Funding & Logistics

## Show Funding

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.

Schedule
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