Abelian Varieties Multi-Site Seminar Series: Andrew Booker

  • Date: 05/10/2018
Andrew Booker (University of Bristol)

University of Calgary


Sato-Tale groups and automorphy for nongeneric genus 2 curves [video]


I will describe recent joint work with Jeroen Sijsling, Drew Sutherland, John Voight and Dan Yasaki on genus 2 curves over Q. Our work has three primary goals: (1) produce an extensive table of genus 2 curves and their associated invariants; (2) explain the various Sato-Tate groups that arise in terms of functoriality; (3) prove at least one example of modularity for each nongeneric Sato-Tate group. Goal (1) was achieved in arXiv:1602.03715, with the data accessible inthe LMFDB, while goals (2) and (3) are in progress.


A video of this event is available on mathtube.org.