Bernd Sturmfels

Bernd Sturmfels
(Max-Planck Institute, Leipzig and University of California, Berkeley)

Day 1 (April 14) @ 10:10 – 11:10 Keynote

3264 Conics in a Second

Enumerative algebraic geometry counts the solutions to certain geometric constraints. Numerical algebraic geometry determines these solutions for any given instance. This article illustrates how these two fields complement each other, especially in the light of emerging new applications. We start with a gem from 19th century geometry, namely the 3264 conics that are tangent to five given conics in the plane. Thereafter we turn to current problems in statistics, with focus on maximum likelihood estimation for linear Gaussian covariance models.