Presentation of the group
The activity of the research group is focussed on real algebraic geometry and Rennes is a recognized centre in this theme. Four young associate professors or researcher got professor positions in other universities in the recent years. The study of algorithms in real algebraic geometry initiated the development and the diversification of the activities in symbolic computation. Our group also hosts activities in history of mathematics.
The resarch activities are intere related with the ones of the other groups in geometry. The strong points of our group are essentially :
1. The study of real singularities offers many interesting and difficult questions and is very active now; a central theme is the study of the real Milnor fibers, smooth pertubations of the singular object carrying carrying relevant information on it; this is the subject of the ANR contract SIRE (Real singularities) headed by Rennes.
2. The study of positive polynomials and sums of squares which was initiated by Hilbert ans its 17th problem.
3. Real singularities are also important for applications, such as robotics. Rennes is part of an ANR contract SIROPA (Singularities of parallel robots) headed by the Ecole Centrale in Nantes