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New interactions of Combinatorics and Probability
AUGUST 24 -- SEPTEMBER 4, 2015
Instituto de Ciências Matemáticas e de Computação (ICMC)
Universidade de São Paulo, Brazil

The email address of the school is cimpa-NICP@icmc.usp.br.
For informations, you may also contact some of us directly:
From South and North America at igorre@icmc.usp.br or pablor@icmc.usp.br ;
from the rest of the world: kurusch@icmat.es or patras@unice.fr

Click here to get the SCIENTIFIC PROGRAM OF THE SCHOOL (Updated on August 31th)

Click here to get the SCHEDULE OF THE SCHOOL (Updated on August 20th)

Click here to get the POSTER OF THE SCHOOL

Click here to access DOCUMENTS that will allow you to PREPARE the school

and learn about the topics.

Participants who want to buy their flight tickets early should plan to arrive at GUARULHOS, INTERNATIONAL AIRPORT OF SAO PAULO.

See the Practical Information Page for further details about how to get São Carlos from Guarulhos Airport.

Aims and scopes

Recently, a beautiful convergence of different areas of mathematics has occurred. Developments in fields, such as Free Probability, Random Matrices, Rough Paths Theory, and Numerical Methods for (Partial/Stochastic) Differential Equations, share common algebro-combinatorial formalisms. Over time it became clear that on the one hand different classes of set partitions related to cumulants and moments, and Hopf and (pre-/post-)Lie algebraic structures on the other hand are central in these advancements. As a result new interactions between combinatorial algebra and these fields has emerged.

The two weeks research school New interactions of Combinatorics and Probability addresses graduate and early PhD students. The school consists of lecture series, including courses on Free Probability and Rough Paths (6hrs each), and a course on Determinantal Processes (7hrs). The goal is to make participants acquainted with the basic notions, motivations and examples underlying the aforementioned subjects. These fields are among the most active research areas in modern mathematics. Two complementary lecture courses (4hrs each) focus on related aspects in modern stochastic calculus and numerical methods for differential equations. Furthermore another lecture course (5hrs) shall provide the basic background in advanced enumerative and algebraic combinatorics.

The lectures shall be complemented by seven research talks (1h each) focusing on recent developments in the fields of free probability, random matrices, stochastic partial differential equations and rough paths, as well as their interactions and related fields. In addition, two poster sessions are devoted to those participants interested in sharing their results and research projects in the topics of the school and related areas.


Each day starts at 9:00am; Lunch break is from 12:30pm--3:00pm. The Wednesday afternoon, Saturday and Sunday are free. Each lecture is 45min. + 10min. for discussions/questions and a 5min. break.


Igor MENCATTINI (ICMC, Universidade de São Paulo)
Frédéric PATRAS (CNRS - Université de Nice)

Local organization committee:

Paulo Afonso FARIA DA VEIGA (ICMC, Universidade de São Paulo)
Carlos Henrique GROSSI (ICMC, Universidade de São Paulo)
Irene ONNIS (ICMC, Universidade de São Paulo)
Pablo Martin RODRIGUEZ (ICMC, Universidade de São Paulo)

Scientific committee:

Kurusch EBRAHIMI-FARD (Instituto de Ciencias Matemáticas - CSIC, Madrid, Spain)
Paulo Afonso FARIA DA VEIGA (ICMC, Universidade de São Paulo)
Luiz Renato G. FONTES (IME, Universidade de São Paulo)
Alice GUIONNET (MIT, Cambridge MA, USA)
Hans MUNTHE-KAAS (Bergen Univ., Bergen, Norway)
Anke WIESE (Heriot-Watt Univ., Edinburgh, Scotland)
Roland SPEICHER (Univ. of Saarbrücken, Germany)


Philippe Biane (CNRS - Université Paris Est, France)

Rodrigo Bissacot (IME-USP, Brazil)

Claude CIBILS (CIMPA and Université de Montpellier, France)

Kurusch Ebrahimi-Fard (ICMAT-CSIC, Madrid, Spain)

Anatoli Iambartsev (IME-USP, Brazil)

David Kelly (Courant Institute of Mathematical Sciences, New York University, US)

Yevgeniy Kovchegov (Oregon State University, US)

Jeroen Lamb (Imperial College London, UK)

Hans Munthe-Kaas (University of Bergen, Norway)

Frédéric Patras (CNRS - Université de Nice, France)

Tiago Pereira (ICMC-USP, Brazil)

Paulo Regis C. Ruffino (IMECC-UNICAMP, Campinas, SP, Brazil)

Nicolau Saldanha (PUC-Rio, Brazil)

Roland Speicher (Univ. of Saarbrücken, Germany)

Anke Wiese (Heriot--Watt Univ., Edinburgh, Scotland)

The conference is supported by:

CAPES (Coordination for the Improvement of Higher Education Personnel)

CIMPA/ICPAM (Centre International de Mathématiques Pures et Appliquées/International Center for Pure and Applied Mathematics)

FAPESP (State of São Paulo Research Foundation)

ICMC (Instituto de Ciências Matemáticas e de Computação)

IMU-CDC (International Mathematical Union, Commission for Developing Countries)