3264 Conics in a Second

Abstract: 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.

commutative algebraalgebraic geometry

Audience: researchers in the topic

Max Planck Institute nonlinear algebra seminar online

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