Abstract for the talk on 30.04.2020 (17:00 h)Nonlinear Algebra Seminar Online (NASO)
Sascha Timme (Technical University Berlin)
3264 Conics in a Second
See the video of this talk.
Enumerative algebraic geometry counts the solutions to certain geometric constraints. Numerical algebraic geometry determines these solutions for any given instance. In this talk I want to illustrate how these two fields complement each other. The focus lies on the 3264 conics that are tangent to five given conics in the plane. I will illustrate tools and techniques used in numerical algebraic geometry and how we used these to find a fully real instance of this classic problem.
This is joint work with P. Breiding and B. Sturmfels.