Isogenies of Elliptic Curves over Function Fields
|Hour||14:15 › 15:45|
|Speaker||Richard Griffon (Université Clermont-Auvergne)|
|Category||Conferences - Seminars|
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.
- Informed public
- Gauthier Leterrier
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)