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Random Planar Structures and Statistical Mechanics


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20th April 2015 to 24th April 2015

Organisers: Itai Benjamini (Weizmann Institute of Science), Nathanael Berestycki (University of Cambridge), Jean Francois Le Gall (Université Paris-Sud 11), Scott Sheffield (Massachusetts Institute of Technology)

Workshop Theme

The goal of this workshop will be to highlight recent progress and outstanding problems concerning our understanding of the geometry of random planar structures, both discrete and continuous. Part of the workshop will focus on random planar maps, a topic at the intersection of probability, combinatorics, and statistical physics. Random planar maps form a basic building block for Liouville quantum gravity, and are thought to be related to the exponential of the Gaussian Free Field and other conformally invariant scaling limits. A major recent progress is the proof by Miermont and by Le Gall, simultaneously, that a uniform random $p$-angulation (for $p=3$ and $p\ge 4$ eveny) converges as a metric space, after rescaling, to the Brownian map. Other parts of the workshop will detail progress on two-dimensional models of statistical physics such as percolation, the self-avoiding walk, and dimer models.

Deadline for applications: 01 February 2015

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Registration Only
  • Registration Package: £230
  • Student Registration Package: £185

The Registration Package includes admission to all seminars, lunches and refreshments on the days that lectures take place (Monday - Friday), wine reception and formal dinner, but does not include other meals or accommodation.

Formal Dinner Only
  • Formal Dinner: £43

Participants on the Registration Package, including organisers and speakers, are automatically included in this event. For all remaining participants who would like to attend, such as Visiting Fellows, programme participants or their guests, the above charge will apply.


Unfortunately we do not have any accommodation to offer so all successful applicants will need to source their own accommodation. Please see the Hotels Combined website for a list of local hotels and guesthouses.



Lunch will be served at Wolfson Court in the Cafeteria from 12:30 to 13:30 on days that lectures take place.

  • Registration Package participants should present their badge as payment for their meal
  • Those issued with a blue Institute door entrance card can add money onto the card via the Porters' Lodge at Wolfson Court
  • Other participants must purchase their meal using their dining card via the Porters' Lodge (forms can be found on the registration desk or at the Porters' Lodge)

Evening Meal

Participants are free to make their own arrangements for dinner.

The Formal Dinner will take place on Wednesday 22 April at Trinity College. Participants on the Registration Package, including organisers and speakers, are automatically included in this event. All remaining participants are encouraged to attend at a charge (price £43).

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons