Title of Seminar: Algebraic Geometry Preprint Seminar 2022
Title of Talk: Infinite torsion in Griffiths groups
Speaker: A. Sawant, TIFR Mumbai
Date: November 28, 2022
Time: 10:30:00 Hours
Venue: 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. Schoen. The talk is based on the preprint https://arxiv.org/abs/2011.15047 by S. Schreieder.
Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: An ergodic approach towards an equidistribution result of Ferrero–Washington
Speaker: Bharathwaj Palvannan, IISc
Date: November 28, 2022
Time: 16:30:00 Hours
Venue: AG-77
Abstract: An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic $\mu$-invariant for Kubota--Leopoldt $p$-adic $L$-functions is an equidistribution result which they established using the Weyl criterion. In joint work with Jungwon Lee, we provide an alternative proof by adopting a dynamical approach. We study an ergodic skew-product map on $\mathbb Z_p * [0,1]$, which is then suitably identified as a factor of the 2-sided Bernoulli shift on the alphabet space $\{0,1,2 \ldots,p-1\}$.
Title of Talk: Infinite torsion in Griffiths groups
Speaker: A. Sawant, TIFR Mumbai
Date: November 28, 2022
Time: 10:30:00 Hours
Venue: 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. Schoen. The talk is based on the preprint https://arxiv.org/abs/2011.15047 by S. Schreieder.
Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: An ergodic approach towards an equidistribution result of Ferrero–Washington
Speaker: Bharathwaj Palvannan, IISc
Date: November 28, 2022
Time: 16:30:00 Hours
Venue: AG-77
Abstract: An important ingredient in the Ferrero--Washington proof of the vanishing of cyclotomic $\mu$-invariant for Kubota--Leopoldt $p$-adic $L$-functions is an equidistribution result which they established using the Weyl criterion. In joint work with Jungwon Lee, we provide an alternative proof by adopting a dynamical approach. We study an ergodic skew-product map on $\mathbb Z_p * [0,1]$, which is then suitably identified as a factor of the 2-sided Bernoulli shift on the alphabet space $\{0,1,2 \ldots,p-1\}$.