MATH Seminar: “Counting Lines on Polarized K3-surfaces”, Alexander Degtyarev, 3:40PM May 12 (EN)

You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.

Speaker: Alexander Degtyarev (Bilkent)

“Counting lines on polarized K3-surfaces”

Abstract: Counting or estimating the number of lines or, more generally, low degree rational curves on a polarized algebraic surface is a classical problem going back almost 1.5 centuries. After a brief historical excurse, I will try to give an account of the considerable progress made in the subject in the last decade or so, mainly related to various (quasi-)polarizations of K3-surfaces:
• lines on K3-surfaces with any polarization,
• lines on low degree K3-surfaces with singularities,
• conics on low degree K3-surfaces.
If time permits, I will briefly discuss other surfaces/varieties as well.

Some parts of this work are joint projects
(some still in progress) with Ilia Itenberg, Słavomir Rams, Ali Sinan Sertöz.

Date: Friday, 12 May 2023
Time: 15:40 (GMT+3)
Place: Zoom

This is an online seminar. To request the event link, please send a message to