Algebraic and Arithmetic Geometry Seminar
# Periods of Mixed Hodge Structures associated to algebraic cycles

→
Europe/Rome

Aula Seminari (Department of Mathematics)
### Aula Seminari

#### Department of Mathematics

Description

Given a pair of algebraic cycles which are homologous to zero, and are in complimentary codimensions, R.Hain, S.Bloch, et.al., in the 1990s established a mixed Hodge structure associated to the pair. A period of this mixed Hodge structure is a real number, which is called the ‘height’ pairing. In this talk I will explain the construction by Hain, and also motivate a similar construction attached to a pair of Bloch’s higher algebraic cycles. This is a joint work in progress with Dr. Greg Pearlstein and Dr. José Ignacio Burgos Gil.