Report on the “Workshop on polynomial systems and polynomial modelling” held at the University of Ouagadougou, Burkina Faso
Previously intended for 18-22 January 2016, the workshop on polynomial systems and polynomial modelling was finally held from 23-27 May 2016 at the IUFIC (located at the Université Ouaga II, Burkina Faso). This deferment was caused by Ouagadougou terrorist attack on the 15th January 2016.
The lectures were based on introducing classical tools for handle polynomial systems problems. The first lecture dealt with constructive commutative algebra based on Henri LOMBARDI and Claude QUITTE book. The second lecture was an introduction to semi-algebraic geometry. It introduced important results for counting real roots of a polynomial in R[X]. Moreover, the first properties of semi-algebraic sets and semi-algebraic morphisms were studied. The main lecture was given by Professor Michel COSTE from Université de Rennes 1 (FRANCE). He gave an example of polynomial modelling encountered in robotics area. He has emphasized how the abstract machinery of the first two lectures could be used to solve these concrete robotic modelling problems.
Besides the planned lectures, some participants have given some talks related to their own research interests.