# Lecture Series, October 10-13, 2017

Speaker: Francois Charles (Universite’ Paris-Sud, Orsay)

Title: Algebraic cycles and Arakelov geometry

Time:

Tuesday, October 10, 9-10:30am **Behrakis 204**

Wednesday, October 11, 5-6:30pm **Cargill 097**

Friday, October 13, 10-11:30am **Ryder 155**

Abstract:

Arakelov geometry gives a way to work geometrically with schemes defined over the integers. We will discuss some applications of Arakelov geometry to some problems in algebraic cycles and periods, trying to emphasize how geometric ideas can be translated in the setting of arithmetic geometry.

The plan is:

Lecture 1: general setting of Arakelov geometry, relationship to geometry of numbers.

Lecture 2: application of arithmetic intersection theory to isogenies of elliptic curves.

Lecture 3: application to transcendance problems, theta-invariants.