Chow groups (Spring 2016)

Organizers: R. Abugaliev, R. Déev, B. Zavyalov

Syllabus:

Past talks:

Febraury 8, Renat A. Introductory talk
February 15, Renat A. Definition of Chow groups and their properties [Fu, Ch. 1]
February 22, Rodion D. Basics of Hodge theory [Vo1]
February 29, Renat A. Abel–Jacobi map and Intermediate Jacobian varieties [Vo1, 12.1]
March 7, Renat A. Finite dimensionality of Chow groups [Vo2, 10.1] and [Vo3]
March 14, Sasha Petrov. Mumford's theorem [Bl1, Appendix to Ch. 1]
March 21, Bogdan Z. Cohomological interpretation of Chow groups [Bl1, Ch. 4]
March 28, Bogdan Z. Rojtman's theorem on torsion [Bl1, Ch. 5]
April 11, Renat A. Chow groups of blow-ups, projective bundles and hypersurfaces of small degree
April 18, Renat A. Bloch's conjecture.
April 25, Renat A. Bloch–Beĭlinson conjecture
May 9, Bogdan Z. Griffiths' groups of abelian varieties
May 16, Sasha Kuznetsova. Decomposition for Chow groups of abelian varieties (1st talk)
May 23, Sasha K. Decomposition for Chow groups of abelian varieties (2nd talk)
May 30, Renat A. Chow groups of 0-cycles on K3 surfaces
June 6, Sasha P. Esnault's theorem
June 15, Bogdan Z. Pontryagin multiplication on the group of 0-cycles on abelian variety

Literature: