The Białynicki-Birula decomposition with a view towards singularities (Magdalena Zielenkiewicz, University of Warsaw)
30.10.2019 14:00
For a scheme with an action of the multiplicative group I will introduce the Białynicki-Birula decomposition and discuss the range of situations where it applies and its consequences. I will sketch how it can be used to study the Chow rings of schemes with torus action via localization theory. I will qickly review the Goresky-Kottwitz-MacPherson theory for varieties with finitely many torus fixed points and finitely many invariant curves, and show on the example of the Hilbert scheme of points how the BB-decomposition can be used to remove the finite curves assumption from the GKM theorem. This will also relate the BB-cells to the multigraded Hilbert scheme of Haiman-Sturmfels.
Lieu
Bâtiment: Battelle
Séminaire de la Tortue
Organisé par
Faculté des sciencesSection de mathématiques
Intervenant-e-s
Magdalena Zielenkiewicz, University of Warsawentrée libre
Classement
Catégorie: Séminaire