Algebraic and Arithmetic Geometry Seminar

Periods of Mixed Hodge Structures associated to algebraic cycles

Name: Periods of Mixed Hodge Structures associated to algebraic cycles
Start: 2023-10-25T16:30:00+02:00
End: 2023-10-25T17:30:00+02:00
Location: Department of Mathematics

by Souvik Goswami (University of Barcelona)

Wednesday 25 Oct 2023, 16:30 → 17:30 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.