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Renata Picciotto, University of Cambridge
Wednesday 24 January 2024, 14:15-15:15
Desingularizations of sheaves and reduced invariants
- đ¤ Speaker: Renata Picciotto, University of Cambridge
- đ Date & Time: Wednesday 24 January 2024, 14:15 - 15:15
- đ Venue: CMS MR13
Abstract
Given a coherent sheaf on an integral stack, there is a combination of blow-ups that can resolve the total cone of this sheaf into a union of vector bundles supported on substacks. I will outline this construction and explain how this can be applied in Gromov-Witten theory to separate contributions to genus g invariants coming from a union of reducible curves of lower genus. We use this to define reduced Gromov-Witten invariants 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 joint with A. Cobos-Rabano, E. Mann and C. Manolache.
Series This talk is part of the Algebraic Geometry Seminar series.
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