Speaker: Francois Charles (Universite’ Paris-Sud, Orsay)
Title: Algebraic cycles and Arakelov geometry
Tuesday, October 10, 9-10:30am Behrakis 204
Wednesday, October 11, 5-6:30pm Cargill 097
Friday, October 13, 10-11:30am Ryder 155
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.