Sato-Tate groups in higher dimensions

Abstract: Given an abelian variety over a number field, its Sato-Tate group is a compact Lie group, and it is conjectured to control the distribution of Euler factors of the L-function of the abelian variety. In this talk we will begin with a discussion on the Sato-Tate conjecture for elliptic curves and discuss work that computes the Sato-Tate groups of families of hyperelliptic curves of arbitrarily high genus and discuss some open problems in this area. This work is joint with H. Goodson and A. Peyrot.

Mathematics

Audience: researchers in the topic

Comments: Join Zoom Meeting ubc.zoom.us/j/67843190638?pwd=eUJsc1oyY2xhYnM4NmU3OW1sTEV2dz09

Meeting ID: 678 4319 0638 Passcode: 999070

UBC (online) Number Theory Seminar