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SUMMARY:Kirk Public Lecture: Counting curves: which\, how and why - Barbar
 a Fantechi (SISSA)
DTSTART:20240415T150000Z
DTEND:20240415T160000Z
UID:TALK214060@talks.cam.ac.uk
DESCRIPTION:Enumerative geometry is a very classical branch of (complex pr
 ojective) algebraic geometry\, that counts solutions to geometric problems
 : e.g.\, for a cubic polynomial f(x\,y\,z)\, there are 27 lines L in space
  with f(p)=0 at every point in L (Cayley-Salmon\, 1849). Around 1990\, the
  influx of ideas from string theory (in particular Gromov-Witten invariant
 s) opened up new research directions\, which have kept developing to the p
 resent day\, with continued interactions with symplectic geometry\, integr
 able systems\, and particle physics. We will sketch a part of this story\,
  highlighting how "abstract" notions like schemes arise naturally in very 
 concrete problems.
LOCATION:Seminar Room 1\, Newton Institute
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