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SUMMARY:Desingularizations of sheaves and reduced invariants - Renata Picc
 iotto\, University of Cambridge
DTSTART:20240124T141500Z
DTEND:20240124T151500Z
UID:TALK207118@talks.cam.ac.uk
CONTACT:Holly Krieger
DESCRIPTION:Given a coherent sheaf on an integral stack\, there is a combi
 nation of blow-ups that can resolve the total cone of this sheaf into a un
 ion of vector bundles supported on substacks. I will outline this construc
 tion and explain how this can be applied in Gromov-Witten theory to separa
 te contributions to genus g invariants coming from a union of reducible cu
 rves of lower genus. We use this to define reduced Gromov-Witten invariant
 s in all genera\, extending various previous constructions for genus 1 and
  2 in the literature. This talk is based on arXiv:2310.06727\, a work join
 t with A. Cobos-Rabano\, E. Mann and C. Manolache.\n
LOCATION:CMS MR13
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