Видеотека: S. O. Gorchinskiy, Integral Chow motives of threefolds with $K$-motives of unit type

ВИДЕОТЕКА


Workshop: Motives, Periods and L-functions 10 апреля 2017 г. 18:30, г. Москва, НИУ "Высшая школа экономики", ул. Усачевой, 6

Integral Chow motives of threefolds with $K$-motives of unit type S. O. Gorchinskiy^ab ^a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow ^b National Research University "Higher School of Economics" (HSE), Moscow
Аннотация: It makes sense to compare different motives of a smooth projective algebraic variety. We discuss the following result: if a smooth projective variety of dimension less or equal to three has an integral $K$-motive of unit type, then its integral Chow motive is of Lefschetz type. The proof is based on a detailed analysis of torsion zero-cycles with the help of Merkurjev–Suslin theorem and various spectral sequences. Язык доклада: английский