Dear Colleagues and Students,
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar
Speaker: Alexander Degtyarev (Bilkent)
“Tritangents to sextic curves via Niemeier lattices”
Abstract: I will address the following conjecture (and some refinements thereof): “A smooth plane curve of degree 6 has at most 72 tritangents.” After a brief introduction to the subject and a survey of the known results for the other polarized K3-surfaces, I will explain why the traditional approach does not work and suggest a new one, using the embedding of the Néron—Severi lattice of a K3-surface to an appropriate Niemeier lattice. I will also discuss the pros and contras of several versions of this approach and report the partial results obtained so far.
Date: 8 March 2019, Friday
Place: Mathematics Seminar Room, SA – 141