Random surfaces
Andrei Okounkov gave the LMS Invited Lectures from 711 April 2008, under the title "Random Surfaces".
There were also lectures by Simon Donaldson, Nikita Nekrasov and Balázs Szendrői.
The meeting was held in the Institute for Mathematical Sciences (map), Imperial College, London.
Support came from the LMS and Leverhulme Trust.
The film editing was done by Mathmedia, paid for by the EMS and Imperial College
Mathematics Department.
Okounkov videos: (requires quicktime)
Lecture 1 and Lecture 2:
Random matrix models of random surfaces, aimed to serve as introduction and guiding analogy.
Lecture 3:
Basics of Kasteleyn theory of planar dimers and determinantal processes.
Lecture 4, Lecture 5 and Lecture 6:
Limit laws for planar dimers, limit shapes, Gibbs measures, etc.
Lecture 7, Lecture 8 and Lecture 9:
Connection between dimer partition functions and GW/DT partition function.
Lecture 10:
Dimers and noncommutative plane curves.
Szendrői slides:
Dimer models and local noncommutative algebraic geometry.
Donaldson:
KählerEinstein and Ricci solitons on toric Fano manifolds.
Nekrasov slides:
1: Topological strings in two dimensions and gauge theory.
2: Gauge theories in two dimensions and quantum integrable systems.
Timetable
 MON  TUES  WED  THU  FRI


11  Okounkov  Okounkov  Okounkov  Okounkov  Okounkov


1.30  Okounkov  Okounkov  Okounkov  Okounkov  Okounkov


3pm  Szendrői  Donaldson  Nekrasov  Nekrasov


Some previous years' lectures
2007 The Geometric Langlands Correspondence, David BenZvi et al.
2006 Introduction to the Galois Theory of Differential and Difference Equations, Michael F Singer et al.
2004 The Geometry and Topology of Coxeter Groups, Michael W Davis et al.
2003 Dirichlet Forms and Related Stochastic Analysis, Masatoshi Fukushima et al.
2002 Random matrices, random permutations and integrable lattices, Pierre van Moerbeke et al.
2001 Calculus of functors, Thomas Goodwillie et al.
2000 The Geometry of Isomonodromic Deformations, Boris Dubrovin et al.