Session A2 - Computational Algebraic Geometry
July 12, 14:30 ~ 14:55 - Room B5
Computational geometry of real plane curves
University of Dortmund, Germany - Daniel.Plaumann@math.tu-dortmund.de
Deriving the geometric and topological properties of a curve in the real projective plane from its defining equation leads to many interesting and challenging computational problems in real algebraic geometry. Such problems concern the configuration of the ovals, singularities, the flex and bitangent lines, as well as various representation theorems. In this talk, we will focus on the case of quartics and sextics and highlight some recent experimental results.
Joint work with Nidhi Kaihnsa (MPI Leipzig), Mario Kummer (MPI Leipzig), Mahsa Sayyary Namin (MPI Leipzig) and Bernd Sturmfels (UC Berkeley / MPI Leipzig).