Peru

To disseminate the area of Dynamical Systems, there included Complex Dynamics, through courses delivered by four specialists, focusing on different topics of the area. This is part of the strategy of the institute to become a center of attraction for young bright students of mathematics from the Andean region. The idea is to select the best students in order to encourage them to follow doctoral studies either at IMCA or abroad.

The three subjects of this school are strongly interconnected. They will be presented along three viewpoints:

The objective of this school is to increase the number of students in the Master and Doctoral Program of IMCA, specially from the Andean region and Peruvians not from Lima, by offering fellowships to bright students.

The objectives of the school are the following:

Number theory is both one of the core areas of mathematics and a crossroads for many other disciplines. Analysis, diophantine geometry and combinatorics, among other areas, have a long history of interaction with number theory ; other subjects, such as group theory and ergodic theory, are also developing often surprising connections with the field.

This will be a two-week school, following the lead of the first AGRA meeting in Santiago, Chile, 2012. The main aim of the series is the development of number theory (in the broadest sense) as an area of research in South America.

This school is an introduction to subjects of current interest in algebraic geometry, with emphasis on group actions on algebraic varieties. The goal is to train Latin American students and young researchers on the different techniques in transformation groups (algebraic, symplectic, topological, etc.) and to highlight the many interactions between these viewpoints. There will be 5 courses, all of them delivered by well recognized specialists from France, USA and Mexico.

Many problems in mathematics concern with classification once a notion of equivalence is given in a class of mathematical objects. Classically, the theory of invariants proposes to study the orbits of a group action over a geometric object and the properties which remain stable under this action.
The aim of this CIMPA school is to give an introduction to different techniques in this context related with the study of holomorphic foliations and differential equations from a local and global viewpoint. More precisely, the courses will cover the following subjects: