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SUMMARY:27 lines on a smooth cubic - David Bai
DTSTART:20220408T140000Z
DTEND:20220408T150000Z
UID:TALK172373@talks.cam.ac.uk
CONTACT:106940
DESCRIPTION:Enumerative geometry is a branch of algebraic geometry that ex
 ploits the rigidity of algebraically-defined geometrical objects to prove 
 unexpected combinatorial facts about them. One of the first nontrivial res
 ults of this type is the following  (Cayley & Salmon 1849): There are exac
 tly 27 distinct lines on any smooth cubic surface over C (i.e. nonsingular
  surface defined by the zeros of a cubic polynomial).\n\nThe talk will sta
 rt with a discussion on the motivation and basic setting of classical alge
 braic geometry. We'll then go through a partially elementary proof of Cayl
 ey & Salmon's result\, with a view towards the general methods for these k
 inds of problems. \n\n
LOCATION:Zoom
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