2023 - T2 - WS2 - Higher structures in enumerative geometry

Collection 2023 - T2 - WS2 - Higher structures in enumerative geometry

Organizer(s) Behrend, Kai ; Fantechi, Barbara
Date(s) 12/06/2023 - 16/06/2023
linked URL https://indico.math.cnrs.fr/event/7883/
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d-critical structure(s) on the Quot scheme of points on a Calabi-Yau 3-fold - Part 1

By Andrea Ricolfi

d-critical schemes and Artin stacks were introduced by Joyce in 2015, and play a central role in Donaldson-Thomas theory. They typically occur as truncations of (-1)-shifted symplectic derived schemes, but the problem of constructing the d-critical structure on a “DT moduli space” without passing through derived geometry (which is hard) is wide open. We discuss this and related problems, and new results in this direction, when the moduli space is the Quot scheme of points on a Calabi-Yau 3-fold. Joint work with Michail Savvas.

Information about the video

  • Date of publication 05/02/2024
  • Institution IHP
  • Language English
  • Format MP4

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