Smash nilpotence on abelian varieties.
Vortrag von Dr. Ronnie Sebastain
Sprecher eingeladen von: Prof. Dr. Joseph Ayoub
Datum: 30.05.12 Zeit: 10.15 - 11.00 Raum: Y27H12
To have a good theory of algebraic cycles on smooth projective varieties, one has to go modulo equivalence relations on the group of cycles. One such equivalence relation is smash nilpotence, which was introduced by Voevodsky, who conjectured it to be same as numerical equivalence. I will state some results from Kimura's theory of finite dimensionality of motives, and as an application we will see some non trivial examples of smash nilpotent cycles.