School of Mathematics Seminars and Lectures

Infinite torsion in Griffiths groups

by Dr. Anand Sawant (TIFR, Mumbai)

Tuesday, September 13, 2022 from to (Asia/Kolkata)
at AG-77
Abstract: The Griffiths group of degree $i$ of a smooth projective complex
variety is the group of homologically trivial codimension $i$ algebraic
cycles on it modulo algebraic equivalence. We will outline a new method due
to S. Schreieder to detect nontriviality of classes in Griffiths
groups, which was used by him to show that there exist smooth projective
complex varieties with infinite 2-torsion in their degree 3 Griffiths
groups, addressing a question due to C. Shoen. The talk is based on the
preprint by S. Schreieder.