Workshop on Quantum Geometry

Collection Workshop on Quantum Geometry

Organizer(s) Veronica Fantini, Alex Takeda
Date(s) 25/04/2022 - 29/04/2022
linked URL https://indico.math.cnrs.fr/event/7514/
00:00:00 / 00:00:00
10 15

Jeffrey-Kirwan Localization for Quiver Varieties

By Riccardo Ontani

In this talk, I will present an ongoing project on Jeffrey-Kirwan localization in the theory of quiver moduli spaces. In order to motivate the interest in this topic, in the first part of the talk I will recall the content of a previous joint work with Jacopo Stoppa (SISSA). Given a complete bipartite quiver, there is a natural way to construct a log Calabi-Yau surface. We show how the Gross-Hacking-Keel mirror to this, which is known to encode both Gromov-Witten and quiver invariants, can be computed also in terms of residues of meromorphic forms, by using a formula of Szenes and Vergne. The main focus of the the seminar will be on this formula and on its derivation from a localization procedure for Hamiltonian actions on symplectic manifolds due to Jeffrey and Kirwan.

Information about the video

  • Date of recording 27/04/2022
  • Date of publication 27/04/2022
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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