You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar.<\/p>\n
Speaker: Alexander Degtyarev (Bilkent)<\/p>\n
“A decade of line counting: an overview”<\/p>\n
Abstract: I will give a brief overview of a long project that started a decade ago (in collaboration with Ilia Itenberg and Sinan Sert\u00f6z and in parallel with Slawomir Rams and Matthias Sch\u00fctt) and originally intended to bridge a minor gap in the proof of Segre’s celebrated theorem on 64 lines on a smooth quartic surface. Confining ourselves to polarized K3-surfaces, now we manage to answer questions that no one even dared to ask, mostly because of lack of tools. For example, we<\/p>\n
\u2022 obtained sharp upper bounds on the possible number of lines on a smooth polarized $K3$-surface of any degree,<\/p>\n
\u2022 obtained similar bounds for quartics, sextics, and octics with singularities,<\/p>\n
\u2022 advanced in the understanding of conics on $K3$-surfaces,<\/p>\n
\u2022 started the study of twisted cubics.<\/p>\n
I will try to discuss both classical (more than 5 years old) results and recent advances; if time permits, I will also try to outline the
\ntechniques used.<\/p>\n
Date: 17 April 2026, Friday
\nTime: 15:40 (GMT+3)
\nPlace: Zoom<\/p>\n
This is an online seminar. To request the Zoom link, please send a message to sertoz@bilkent.edu.tr<\/p>\n","protected":false},"excerpt":{"rendered":"
You are cordially invited to the ODTU-Bilkent Algebraic Geometry Seminar. Speaker: Alexander Degtyarev (Bilkent) “A decade of line counting: an overview” Abstract: I will give a brief overview of a long project that started a decade ago (in collaboration with Ilia Itenberg and Sinan Sert\u00f6z and in parallel with Slawomir [\u2026] <\/p>\n