Desingularizations of sheaves and reduced invariants

Add to your list(s) Download to your calendar using vCal

• Renata Picciotto, University of Cambridge
• Wednesday 24 January 2024, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Holly Krieger.

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.

This talk is part of the Algebraic Geometry Seminar series.

This talk is included in these lists:

• Algebraic Geometry Seminar
• All CMS events
• All Talks (aka the CURE list)
• CMS Events
• CMS MR13
• DPMMS Lists
• DPMMS Pure Maths Seminar
• DPMMS info aggregator
• DPMMS lists
• Hanchen DaDaDash
• Interested Talks
• School of Physical Sciences
• bld31

Note that ex-directory lists are not shown.