Isogenies of Elliptic Curves over Function Fields

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Event details

Date 13.04.2023
Hour 14:1515:45
Speaker Richard Griffon (Université Clermont-Auvergne)
Location
Category Conferences - Seminars
Event Language English

In this talk, we will first review the construction of cohomological DT invariants, a kind of virtual cohomology for moduli spaces of sheaves on Calabi-Yau threefolds. We will explain their construction by Brav, Bussi, Dupont, Joyce, and Szendroï, using perverse sheaves of vanishing cycles.
We will then present a toric localization formula for these invariants, which can be seen as a virtual version of the Bialinicky-Birula decomposition. The proof of this formula uses in a crucial way the formalism of hyperbolic localization and its interaction with perverse sheaves.

Practical information

  • Informed public
  • Free

Organizer

  • Gauthier Leterrier

Contact

  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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