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SUMMARY:Curve counting and tropical geometry - Patrick Kennedy-Hunt (Unive
 rsity of Cambridge)
DTSTART:20221028T150000Z
DTEND:20221028T160000Z
UID:TALK180362@talks.cam.ac.uk
CONTACT:Macarena Arenas
DESCRIPTION:The goal of this talk is to appreciate a striking result origi
 nally due to Mikhalkin. The question is easy to state: how many degree d c
 urves pass through 3d-1 points in the complex plane. Mikhalkin’s answer 
 illustrates a much--celebrated link between the geometry of polynomials (a
 lgebraic geometry) and the geometry of cone complexes (tropical geometry).
  Cone complexes\, unlike algebraic curves\, can be drawn on the blackboard
 : tropical geometry thus gives a powerful tool for visualising problems. T
 ime permitting\, I will sketch a modern proof of Mikhalkin’s result. 
LOCATION:MR13
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