Seminar Event Detail

Group, Lie and Number Theory

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   


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