Poincaré duality in equivariant intersection theory

par Prof. Richard GONZALES (IHÉS)

mardi 18 févr. 2014, 15:30 → 16:00 Europe/Paris

Amphitéâtre Léon Motchane (IHES)

The aim of this talk is to provide a notion of Poincaré duality for the Chow groups of singular varieties where a torus acts with finitely many fixed points. We relate this concept to the usual notion of Poincaré duality in the smooth and rationally smooth cases (e.g. Betti numbers). Finally, we characterize it in terms of equivariant multiplicities, i.e. certain rational functions having poles along hyperplanes associated to the weights of the action.