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SUMMARY:Tangents to the Nodal Cubic - Yannik Schuler\, University of Cambr
 idge
DTSTART:20240426T150000Z
DTEND:20240426T160000Z
UID:TALK213358@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:Given a plane nodal cubic D\, how many straight lines are ther
 e meeting D in exactly one smooth point? The question can be treated using
  classical techniques in algebraic geometry which return the correct answe
 r (three). However\, just a slight generalisation of this exercise (e.g. t
 he enumeration of higher degree curves maximally tangent to D) renders sta
 ndard techniques essentially useless. I will introduce Gromov--Witten theo
 ry as a framework which allows an efficient discussion of (an obscured ver
 sion of) such generalised tangent counts and for the nodal cubic we will a
 ctually get an explicit formula for these numbers.
LOCATION:MR13
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