Commutative Algebra and Algebraic Geometry: Sixty-four Curves of Degree Six

Seminar | April 25 | 3:45-4:45 p.m. | 939 Evans Hall

 Bernd Sturmfels, UC Berkeley

 Department of Mathematics

This lecture is an invitation to real algebraic geometry, along with computational aspects, ranging from bitangents and K3 surfaces to eigenvectors and ranks of tensors. We present an experimental study - with many pictures - of smooth curves of degree six in the real plane. This is joint work with Nidhi Kainhsa, Mario Kummer, Mahsa Sayyari and Daniel Plaumann. The number 64 refers to rigid isotopy types in the Rokhlin-Nikulin classification.