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SUMMARY:Enumerative Geometry via Homological Algebra - David Favero (Unive
 rsity of Alberta\, KIAS)
DTSTART:20170508T131500Z
DTEND:20170508T141500Z
UID:TALK72035@talks.cam.ac.uk
CONTACT:Tyler Kelly
DESCRIPTION:I will discuss how homological algebra (matrix factorizations 
 and derived categories) can be used to (virtually) count curves on algebra
 ic varieties. This is based on joint work in progress with I. Ciocan-Fonta
 nine\, J. Guéré\, B. Kim\, and M. Shoemaker. In summary\, we have const
 ructed a cohomological field theory which descends from a Fourier-Mukai tr
 ansform.  This provides an algebraic construction of curve-counting inva
 riants for GIT quotients of affine space together with a function/superpot
 ential. As special cases\, we recover Gromov-Witten theory and R-spin/FJRW
  theory.
LOCATION:CMS MR4
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