Colloquium abstracts

Souvik Goswami
TIFR
March 31, 2016

Business of Height Pairing:  In algebraic geometry there is the notion of a height pairing of algebraic cycles, which lies at the confluence of arithmetic, Hodge theory and topology. After explaining the basic notions, we introduce new directions in this subject. Specifically, we address an extension of Beilinson's height pairing to the (still conjectural) graded pieces of a Bloch-Beilinson filtration. Along the way, we use machineries from arithmetic intersection theory to provide an example computation.