Algebra and Number Theory Seminar: High vanishing of twisted L-functions
Algebra and Number Theory Seminar: High vanishing of twisted L-functions
Algebra and Number Theory Seminar: High vanishing of twisted L-functions
| A Number Theory, Algebra and Geometry seminar | |
|---|---|
| Speaker(s) | Matthew Bissat, University of Bristol |
| Date | 8 November 2023 |
| Time | 14:30 to 15:30 |
| Place | Newman Purple LT |
| Organizer | Dr Julio Andrade |
Event details
Abstract
Abstract: The Birch—Swinnerton-Dyer conjecture famously connects the rank of an elliptic curve to the vanishing of its L-function, and one can generalise this conjecture to include Artin twists. I will illustrate a setup where such L-functions are expected to vanish to high order (contrary to minimalism expectations) and discuss the corresponding implications. This is joint with Vladimir Dokchitser.
Abstract: The Birch—Swinnerton-Dyer conjecture famously connects the rank of an elliptic curve to the vanishing of its L-function, and one can generalise this conjecture to include Artin twists. I will illustrate a setup where such L-functions are expected to vanish to high order (contrary to minimalism expectations) and discuss the corresponding implications. This is joint with Vladimir Dokchitser.
Location:
Newman Purple LT
