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New interactions of Combinatorics and Probability

English Version

CIMPA-BRAZIL research school

ICMC, Universidade de Sao Paulo, Sao Carlos, August 24-September 4, 2015

Report by Igor MENCATTINI

Report by Claude CIBILS

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 three main lecture series. Two courses on Free Probability and Random Matrices (6hrs each), and one course on Rough Paths (6hrs). 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 (6hrs) shall provide the basic background in advanced enumerative and algebraic combinatorics.

In the second week the advanced parts of the main lectures shall be complemented by four extended research talks (2hrs 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.

Administrative and scientific coordinators

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

Scientific Committee

  • Kurusch EBRAHIMI-FARD (Instituto de Ciencias Matemáticas — CSIC, Madrid, Spain)
  • Paulo Afonso FARIA DA VEIGA (ICMC, Universidade de São Paulo)
  • Luiz Renato Conçalves Fontes (IME-USP)
  • 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)

Local Organizing Committee

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

Scientific Program

Abstracts - Schedule


  • Philippe Biane (CNRS - Université Paris Est, France)
  • Kurusch Ebrahimi-Fard (ICMAT-CSIC, Madrid, Spain)
  • Massimiliano Gubinelli (Univ. Paris-Dauphine, Paris, France)
  • Alice Guionnet (MIT, Cambridge, MA, USA)
  • Anatoli Iambartsev (IME-USP, Brazil)
  • Hans Munthe-Kaas (University of Bergen, Norway)
  • Frédéric Patras (CNRS - Université de Nice, France)
  • Roland Speicher (Univ. of Saarbrücken, Germany)
  • Carlos Tomei (Pontificia Universidade Católica do Rio de Janeiro, Brazil)
  • Anke Wiese (Heriot—Watt Univ., Edinburgh, Scotland)

Deadline for registration

June 21, 2015

Application procedure only for applicants not from Brazil

Applicants from Brazil must contact local organizer : Igor MENCATTINI (ICMC - USP, Universidade de São Paulo),

Voir en ligne : Local web site