BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Mikhalkin’s curve-counting formula for P^2 - Hannah Tillmann-Mor
 ris\, Imperial College London
DTSTART:20231124T160000Z
DTEND:20231124T170000Z
UID:TALK204304@talks.cam.ac.uk
CONTACT:Alexis Marchand
DESCRIPTION:In the early 90s\, new ideas from string theory led to excitin
 g developments in enumerative geometry. Kontsevich proved a recursive form
 ula for N_d\, the number of degree d genus 0 plane curves passing through 
 3d-1 points\, using the notion of quantum cohomology\, which comes from to
 pological quantum field theory. \nIn 2004\, Mikhalkin proved a recursive f
 ormula for counting curves of arbitrary genus on toric surfaces\, by showi
 ng that curves in the toric surface X can be identified with certain piece
 wise linear graphs in R^2\, which we call tropical curves. In 2008\, Gathm
 ann and Markwig gave a purely combinatorial proof of Mikhalkin’s formula
  for genus 0 plane tropical curves\, by showing that the space parametrisi
 ng plane curves in the real plane also satisfies this nice recursive struc
 ture.\nIn my talk I will present a sketch of Gathmann and Markwig’s proo
 f\, explaining what all the terms I used above mean.
LOCATION:MR13
END:VEVENT
END:VCALENDAR