Chandrasekhar Hall

Brauer group and Chow group of 0-cycles for curves over local fields

Jitendra Rathore

HRI

The Brauer group and Chow group of 0-cycles for a smooth projective variety are two important invariants associated with a given variety. These two groups for smooth projective varieties over local fields are related by the Brauer-Manin pairing, which is a pairing between these two abelian groups.

In this talk, we will begin with the definitions of the Brauer group and Chow group of zero cycles of algebraic varieties. We will then recall a few results which establish a relationship between these two groups. Later, I will present some new results regarding this relationship, which I obtained in a joint work with Amalendu Krishna and Samiron Sadhukhan.