The Centre International de Mathématiques Pures et Appliquées (CIMPA), founded in France in 1978, is a nonprofit organisation working for the development of mathematics research in developing countries. Located in Nice, it is a UNESCO category 2 centre, it is part of Laboratoire d'Excellence CARMIN (Centres d'Accueil et de Rencontres Mathématiques Internationales) and it benefits from the financial support of France, Norway, Spain and Switzerland. Each year, CIMPA co-organises and sponsors numerous activities in developing countries across all continents.
Our teachers Farukh Mashurov, Bekzat Zhakhayev, Bauyrzhan Sartayev and Tolkynai Yelemes participated in the research school of Nonassociative Algebras and Applications оrganized by the CIMPA. Which was held in Tashkent on September 10-21.
Topics of school included various aspects of the theory of non-associative algebras, their representations and applications, including Lie, Leibniz, Jordan and other classes of algebras. There was the famous mathematician Efim Isaakovich Zelmanov. He gave interesting and useful course of "Nonassociative Superalgebras" and discussed modern problems of algebras.
Efim Isaakovich Zelmanov is a Russian-American mathematician, known for his work on combinatorial problems in nonassociative algebra and group theory, including his solution of the restricted Burnside problem. He was awarded a Fields Medal at the International Congress of Mathematicians in Zürich in 1994.
Participants received courses on the following topics:
Course 1: "The Leibniz algebras over the field of p-adic numbers", Manuel Ladra (University of Santiago de Compostela, Spain)
Course 2: "To be announced", Marc Rosso (Université Paris 7, France)
Course 3: "An introduction to Hochschild cohomology", Andrea Solotar (Universidad de Buenos Aires, Argentina)
Course 4: "Nonassociative Superalgebras", Efim Zelmanov (Korea Institute for Advanced Study, South Korea)
Course 5: "Representations of Jordan algebras and superalgebras", Iryna Kashuba (São Paulo University, Brazil)
Course 6: "Harmonic polynomials and cohomology of G/B", Olivier Mathieu (Université Lyon1, France).