RTG: Algebraic Geometry and Representation Theory @ Northeastern

Advanced Mini-Courses:

Spring 2018: to be announced.

Fall 2017: François Charles (Université Paris-Sud), Algebraic cycles and Arakelov geometry.

  • Time and rooms:

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.