Séminaire Algèbre ICJ

Oriented sheaves on double moment graphs

par Kirill ZAINOULLINE

Europe/Paris
Fokko du Cloux (Braconnier)

Fokko du Cloux

Braconnier

ICJ, UCBL - La Doua
Description
We extend the theory of sheaves on moment graphs due to Braden-MacPherson and Fiebig to the context of an arbitrary oriented equivariant cohomology h (e.g. to algebraic cobordism). We introduce and investigate structure h-sheaves on double moment graphs to describe equivariant oriented cohomology of products of flag varieties. We show that in the case of a total flag variety X the space of global sections of the double structure h-sheaf also describes endomorphism ring of the equivariant h-motive of X. This is a joint project with Martina Lanini and Rostislav Devyatov. ________________________ Expose dans le cadre de trimestre « Groupes algébriques et géométrisation du programme de Langlands » http://math.univ-lyon1.fr/homes-www/gille/schedule_doua.pdf Heure inhabituel