|Date: Monday, February 05, 2018
Location: 4088 East Hall (4:10 PM to 5:30 PM)
Title: Computing l-adic monodromy groups
Abstract: Fix a prime l and an abelian variety A over a number field. The Galois action on the torsion points of A can be described by an l-adic Galois representation. The Zariski closure G of its image is called the l-adic monodromy group of A. The group G encodes a lot of the arithmetic/geometry of A. For example, the Sato-Tate distribution of A can conjecturally be determined from G.
We will discuss approaches to studying and computing these monodromy groups.
Speaker: David Zywina
Institution: Cornell University
Event Organizer: Wei Ho