BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Mirror symmetry for Fano surfaces via scattering and tropical curv
 es - Tim Gräfnitz\, University of Cambridge
DTSTART:20220511T131500Z
DTEND:20220511T141500Z
UID:TALK173456@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Mirror symmetry relates Fano varieties to Landau-Ginzburg mode
 ls - non-compact varieties together with a potential function W. Gross-Sie
 bert developed an algorithmic construction of mirrors via algebro-combinat
 orial objects called scattering diagrams and broken lines. I describe the 
 combinatorial aspects of this construction for the easiest case of a Fano 
 surface - P2 relative to an elliptic curve E. Mirror symmetry predicts a r
 elation between curve counts for (P2\,E) and complex structure deformation
 s of its mirror. On the combinatorial level this translates to a correspon
 dence between curve counts for (P2\,E) and scattering diagrams resp. broke
 n lines. Such a correspondence can be proved using tropical geometry. If t
 ime permits\, I will also talk about joint work with Helge Ruddat and Eric
  Zaslow in which we relate the Landau-Ginzburg potential defined via broke
 n lines to the open mirror map of Aganagic-Vafa branes in framing zero.
LOCATION:CMS MR13
END:VEVENT
END:VCALENDAR