Uruguay

The objectives of the school are the following:

• Diffusion of mathematical modelling of data networks in Latin America.
• To offer the opportunity of discovering a broad and deep research area, contact top international experts, and aid mathematics teachers, young researchers and students of the region update their knowledge in the school’s topics.
• Diffusion of applied mathematics and the mathematics-informatics-telecommunications interface in particular.

The general theme of the school is the semantics of programming languages. More precisely, the courses will present recent results and methods on verification and specification of programs and systems. In the more advanced topics, a special emphasis will be given to program security.

The main objective of the school is to boost the Uruguayan activities within Applied Mathematics, Computational Science and Engineering. This school will serve as a part of an ongoing project for the development of applied mathematics in Uruguay, which focuses among others in Networks, Numerical methods, Biomathematics, Mathematical Finance, Insurance, etc. In particular, we expect that the school will attract and eventually motivate more local students (for instance Bachelors in mathematics, statistics and Engineering) to enroll into an Engineering Mathematics Master program.

The main objective of the school is to boost the regional activities in Hamiltonian and Lagrangian Dynamics, with focus on some new research trends. We expect it will contribute to increase the interaction between researchers and students from Argentina, Brasil, Chile, México and Uruguay.

This school aims to bring together researchers in Statistics from Europe, USA and Latin America with a twofold purpose. First, the school has a formative character directed to offer young Latin American researchers a broad perspective of some leading current developments in Mathematical Statistics including, among others, models in mathematical finance, stochastic geometry, high-dimensional and functional data and nonparametric methodologies.

This research school consists on an introduction to the geometry of hyperbolic groups and their representations. The global objective is to understand how the intrinsic geometry of the hyperbolic group interacts with the geometry of the target group.

The aim of this is school to introduce the participants to the arithmetic and computational aspects of the theory of elliptic curves.

We will develop the theory of elliptic curves from its very beginning also providing an introductory course on algebraic curves and the Riemann Roch theorem. Topics that will be covered include: basic geometric and arithmetic results for elliptic curves over number felds and over fnite felds, the Mordell- Weil theorem for elliptic curves, Galois representations attached to elliptic curves, and the Birch and Swinnerton Dyer Conjecture.