### Conference

#### Random Interfaces and Integrable Probability

**Jun 22, 2015 - Jun 26, 2015**

**Abstract**

The conference is one of the activities taking place at the Galileo Galilei Institute in the framework of the two month workshop on Statistical Mechanics, Integrability and Combinatorics. It aims at bringing together mathematicians and physicists interested in problems of statistical mechanics of exactly solvable systems, where various tools and techniques from combinatorics, random matrices, probability theory and representation theory have boosted recent progresses in the field.

Emphasis is put on random interfaces, such as those emerging in dimer models, random polymer models, random growth processes, Asymmetric Simple Exclusion Processes, etc, and their properties in the limit of large systems (limit-shape phenomena, KPZ university class, etc).

**Organizers**

Alexei Borodin (MIT)

Jérémie Bouttier (CEA, Saclay)

Filippo Colomo (INFN, Florence)

Richard Kenyon (Brown University)

**Contact**

colomo@fi.infn.it

**Main event**

Statistical mechanics, integrability and combinatorics (Workshop) - May 11, 2015

**Talks**

Date | Speaker | Title | Type | Useful Links | ||||
---|---|---|---|---|---|---|---|---|

Jun 22, 2015 - 10:30 | Craig Tracy |
A Bethe Ansatz Approach to ASEP | Seminar | Slides | ||||

Jun 22, 2015 - 11:40 | Ivan Corwin |
Stochastic quantum integrable systems | Seminar |
Abstract
We describe recent work involving interacting particle systems related to quantum |
Slides | |||

Jun 22, 2015 - 14:30 | Leonid Petrov |
Stochastic quantum integrable systems in infinite volume | Seminar |
Abstract
I will discuss the higher spin vertex model, which is a (discrete-time) stochastic quantum integrable |
Slides | |||

Jun 22, 2015 - 16:00 | Nicolai Reshetikhin |
Are limit shape equations integrable? | Seminar |
Abstract
We will argue that limit shape equations are integrable for models in statistical mechanics where |
||||

Jun 23, 2015 - 09:00 | Patrick Ferrari |
Height fluctuations for the stationary KPZ equation | Seminar |
Abstract
In this talk I will discuss the height fluctuations of models in the KPZ (Kardar-Parisi-Zhang) |
Slides | |||

Jun 23, 2015 - 10:30 | Fabio Toninelli |
A class of (2+1)-dimensional growth process with explicit stationary measure | Seminar |
Abstract
We introduce a class of (2+1)-dimensional random growth processes, that can be seen as |
Slides | |||

Jun 23, 2015 - 11:40 | Pavel L. Krapivsky |
Limiting shapes of Ising droplets, fingers, and corners | Seminar | Slides | ||||

Jun 23, 2015 - 14:30 | Pierre Le Doussal |
Exact results and conjectures from the replica Bethe ansatz for KPZ growth and random directed polymers | Seminar |
Abstract
We describe the replica Bethe Ansatz (RBA) method for the continuum KPZ equation and directed |
Slides | |||

Jun 23, 2015 - 16:00 | Vadim Gorin |
Central Limit Theorem for discrete log-gases | Seminar |
Abstract
A log-gas is an ensemble of N particles on the real line, for which the probability of a configuration |
Slides | |||

Jun 24, 2015 - 09:00 | Alexei Bufetov |
Asymptotics of representations of classical Lie groups | Seminar |
Abstract
We study the decompositions into irreducible components of tensor products and restrictions of |
Slides | |||

Jun 24, 2015 - 10:30 | Maurice Duits |
Global fluctuations of non-colliding processes and non-intersecting paths | Seminar |
Abstract
Ensembles of non-intersecting paths and non-colliding processes give rise to random surfaces in a |
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Jun 24, 2015 - 11:40 | Mirjana Vuletic |
Asymptotic behaviors in Schur processes | Seminar |
Abstract
We present some asymptotic results, like the limit shape and fluctuation behavior at the edge, of |
Slides | |||

Jun 25, 2015 - 09:00 | Christian Krattenthaler |
A factorisation theorem for the number of rhombus tilings of a hexagon with trianglar holes | Seminar |
Abstract
I shall present a curious factorisation theorem for the number of rhombus tilings of a hexagon with |
Slides | |||

Jun 25, 2015 - 10:30 | Béatrice de Tilière |
The Z-invariant massive Laplacian on isoradial graphs | Seminar |
Abstract
After having explained the notion of Z-invariance for models of statistical mechanics, we introduce |
Slides | |||

Jun 25, 2015 - 11:40 | Alexander B. Goncharov |
Non-commutative vector bundles with flat connections on surfaces | Seminar | |||||

Jun 25, 2015 - 14:30 | Andrea Sportiello |
Simple approaches to arctic curves for Alternating Sign Matrices | Seminar |
Abstract
We consider Alternating Sign Matrices (ASM) with a weight w per -1 in the matrix. Many things |
Slides | |||

Jun 25, 2015 - 16:00 | Codina Cotar |
Gradient Gibbs measures with disorder | Seminar |
Abstract
We consider - in uniformly strictly convex potentials case - two versions of random gradient |
Slides | |||

Jun 26, 2015 - 09:00 | Francois David |
Planar maps, circle patterns, conformal point processes and 2D gravity | Seminar |
Abstract
I present a model of random planar triangulations (planar maps) based on circle patterns and discuss |
Slides | |||

Jun 26, 2015 - 10:30 | Paul Fendley |
Integrability, Topology and Discrete “Holomorphicity” | Seminar |
Abstract
Integrable systems have applications ranging from experimental physics to profound mathematics. |
Slides | |||

Jun 26, 2015 - 11:40 | Jesper Jacobsen |
Logarithmic correlations in percolation and other geometrical critical phenomena | Seminar |
Abstract
The purpose of renormalisation group and quantum field theory approaches to critical phenomena is |
Slides | |||

Jun 26, 2015 - 14:30 | Paul Wiegmann |
Random Matrices, Growth and Hydrodynamics Singularities | Seminar |
Abstract
I review the approach to Hele-Shaw problem, stochastic aggregation and hydrodynamics |
Slides |