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SUMMARY:Alexander Degtyarev (Bilkent)
DTSTART:20230512T124000Z
DTEND:20230512T134000Z
DTSTAMP:20260423T021302Z
UID:OBAGS/28
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/28/">C
 ounting lines on polarized K3-surfaces</a>\nby Alexander Degtyarev (Bilken
 t) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\nCoun
 ting or estimating the number of lines or\, more generally\, low degree\nr
 ational curves on a polarized algebraic surface is a classical problem goi
 ng\nback almost 1.5 centuries. After a brief historical excurse\, I will t
 ry to\ngive an account of the considerable progress made in the subject in
  the last\ndecade or so\, mainly related to various (quasi-)polarizations 
 of\n$K3$-surfaces: \n\n$\\bullet$\nlines on $K3$-surfaces with any polariz
 ation\,\n\n$\\bullet$\nlines on low degree $K3$-surfaces with singularitie
 s\,\n\n$\\bullet$\nconics on low degree $K3$-surfaces.\n\nIf time permits\
 , I will briefly discuss other surfaces/varieties as well.\n\nSome parts o
 f this work are joint projects\n(some still in progress) with Ilia Itenber
 g\, Slavomir Rams\, Ali\nSinan Sertöz.\n
LOCATION:https://researchseminars.org/talk/OBAGS/28/
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