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SUMMARY:Mutations and Fano Varieties - Mohammad Akhtar (Imperial)
DTSTART:20130221T140000Z
DTEND:20130221T150000Z
UID:TALK43697@talks.cam.ac.uk
CONTACT:John Ottem
DESCRIPTION:This talk is an introduction to the theory of mutations. We wi
 ll discuss two closely related viewpoints on the subject: the algebraic ap
 proach interprets mutations as birational transformations\, and is concern
 ed with their action on Laurent polynomials. The combinatorial approach se
 es mutations as operations on lattice polytopes\, and allows one to constr
 uct deformations of the corresponding toric varieties. We will explain the
  role played by algebraic mutations in the program to classify Fano 4-fold
 s. We also discuss recent results concerning combinatorial mutations of we
 ighted projective surfaces.\n\nThe contents of this talk are joint work wi
 th Tom Coates\, Alexander Kasprzyk and Sergey Galkin.
LOCATION:MR9
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