Abelian Varieties Multi-Site Seminar Series: Andrew Booker

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

University of Calgary

Topic: 

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

Description: 

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.