South Africa

The school will consist of two parts.

1. General Lectures on multiple scales problems mainly homogenization techniques and applications.
2. Symposium for more specialized topics.

Participants will be introduced to theoretical concepts through lectures delivered by invited experts. The colloquium will be around some specific research problems and will enable the participants to get in touch with those current problems.

Historically, applied mathematics in the region was very much biased towards engineering and mathematical physics. At the same time, Africa has been experiencing serious problems with various diseases (HIV/AIDS, Malaria, Tuberculosis, etc). Only in recent times has Southern Africa started to respond by harnessing its mathematical expertise towards the control of diseases. The most recent action in this regard is the establishment of the South African Centre for Epidemiological Modeling and Applications (SACEMA).

The School is to take place at the African Institute of Mathematical Sciences (which recently signed the MOU with CIMPA) and will be a part of initiatives of the Mathematics for the Planet Earth year.

Representation Theory of Lie algebras and Group Theory will be the topics of the Research School Algebraic Representation Theory 2015.

Recent research trends including:

The School encompasses various topics in contemporary algebra: non-associative algebras, graph algebras, computer algebra and category theory.

Many classical results and methods of Number Theory are now actively used in important domains of applied mathematics like Cryptography,CodingTheory or Numerical Analysis.To enable these applications one must have explicit versions of these number-theoretical results and tools. This is why Explicit Number Theory emerged and rapidly developed during the last several decades.

In this CIMPA school we plan to introduce the students to this field. The following list is a sample of the topics that will be considered:

The aim of this CIMPA school will be to familiarise graduate students and young researchers with the field of  enumerative and analytic combinatorics,  and to show its many connections to other areas,  especially computer science.  The courses  range from introductory to  more advanced levels.

The research school will provide a useful background to understand several of the very active research subjects in the wide area of functional analysis. This includes Riesz spaces and Stochastics processes, function theory, differential operators, operator theory on various and natural Banach spaces, some notions of geometry of Banach spaces, semigroup theory and its links with applications, without omitting an introduction to harmonic analysis.

The aim of this CIMPA school will be to familiarise graduate students and young researchers with the field of  enumerative and analytic combinatorics,  and to show its many connections to other areas,  especially computer science.  The courses  range from introductory to  more advanced levels.

The School aims to introduce students to the mathematical and statistical underpinnings of some of the latest Data Science methods that seek to address the challenge of Big Data analysis. There will be an emphasis on matricial methods both in modelling and in numerical computations. The topics covered will include Randomized Numerical Linear Algebra, Deep Generative Models, Bayesian Nonparametric Models and their Asymptotic Properties, Modern Graphical Models and High- Dimensional Statistics Based on Random Matrix Theory.