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)
This is an online seminar. To request the event link, please send a message to firstname.lastname@example.org