Non Linear Analysis, Geometry and Applications Project

Overall Description. The main focus of the NLAGA project is to deepen and consolidate the development in West Africa of Non Linear Analysis, Geometry and their Applications to solve real world problems such as coastal erosion, urban networks, and cancer models. For this purpose, West African expertises - in Partial Differential Equations, Geometrical Analysis of Optimal Shapes, Geometric Structures, Optimization and Optimal Transportation - are gathered with their international partners in a large but selective network which provides an attractive and stimulating scientific environment for the production of high quality research papers and the training of sub-Saharan African graduate students.

The long-term goal of the NLAGA is the building of an enduring school, in Non Linear Analysis, Geometry and their Applications, to speed up the launched dynamic of doing high-quality research in mathematical subjects directly related to sustainable development of West Africa. To achieve these objectives,  detailed plans for research, graduate training, and networking activities with special efforts for incorporating women mathematicians in the project and identifying and nurturing female mathematical talent are scheduled.

The NLAGA's research plan is split into six (6) scientific tasks with an ingathering of investigators according to their expertise and their current mathematical interests. In addition to the work on research open issues, the members of each task have scientific activities such as mentoring of Ph.D students, graduate training schools, workshops, conferences to be undertaken each year according to a predefined schedule. Biennal international symposia, gathering the NLAGA research team, our international partners and others sub-Saharan investigators are scheduled to discuss recent development on Non-Linear Analysis, Geometry and their Applications and strengthen our research network. For all our scientific activities, quantified awaited results are specified. 

Scientific Management. The project concerns Non Linear Analysis, Geometry and Applications. One can describe it as two coherent branches with several tasks which have clear connections: the Non Linear Analysis and Applications branch and the Geometry and Applications branch. We enumerate here the different tasks and give a synthetic diagram which shows how they are going to interact along the project. In order to facilitate the management and the monitoring of the project, a coordinator is specified for each task. The gathering of the different coordinators represents the Scientific Secretary of the project. The general coordinator and lead researcher of the project is Pr. Diaraf Seck. 

Branch 1: Non Linear Analysis and Applications.

• Task 1. Geometrical Analysis of Optimal Shapes, coordinated by Diaraf Seck (UCAD).
• Task 2. PDEs and Control Theory, coordinated by Ibrahima Faye (UADB). 
• Task 3. Optimization and Geometrical Analysis, coordinated by Babacar Mbaye Ndiaye (UCAD). 
• Task 4. Mathematical Modeling and Real World Problems, coordinated by Papa Ngom (UCAD). 

Branch 2: Geometry and Applications.

• Task 5. Geometric Structures and Dynamics, coordinated by Masseye Gaye (UCAD) 
• Task 6. Real Algebraic and Complex Geometries, coordinated by Daouda Niang Diatta (UASZ).