Math Seminars.
Vangelis Mouroukos (U of C),
Cohomological Connectivity and Algebraic Cycles.
We give a systematic way to produce interesting algebraic
cycles on general complete intersections of sufficiently high multidegree
in a non-singular projective variety, that contain a fixed non-singular
subvariety. This gives rise to new non-torsion elements in the Griffiths
group of homologically trivial cycles modulo algebraic equivalence of such
a complete intersection. Moreover, we formulate injectivity and
surjectivity results for the corresponding Chow groups; they are
consistent with Beilinson's conjectures on mixed motives and filtrations
on Chow groups.