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SUMMARY:How to use intersection theory to count geometric objects
DTSTART:20251217T130000Z
DTEND:20251217T141500Z
DTSTAMP:20260614T020400Z
UID:indico-event-15769@indico.math.cnrs.fr
DESCRIPTION:Speakers: Tangi Pasquer (Sorbonne Université\, IMJ-PRG)\n\nFo
 r a given space X\, understanding how to put other spaces Y into X is gene
 rally a natural and interesting problem. In the framework of algebraic geo
 metry\, there is usually a finite dimensional family of embeddings of an a
 lgebraic variety Y into some given variety X. It may then be reasonable to
  try and understand the structure of this family. One can for instance fix
  the degree of the map\, or ask for the image to intersect some subvariety
  of X in a prescribed way. I will explain how to use the tools of intersec
 tion theory to get some information about the structure of these families\
 , in the case X is a surface and Y is a curve\, with fixed degree and some
  point incidence conditions. One example will be lines on a smooth cubic s
 urface\, and the other genus g\, degree d curves on a surface\, all over a
 n algebraically closed field.\n\nhttps://indico.math.cnrs.fr/event/15769/
LOCATION:Salle Pierre Grisvard (IHP - Bâtiment Borel)
URL:https://indico.math.cnrs.fr/event/15769/
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