The relative class number one problem for function fields
Kiran Kedlaya (University of California San Diego)
15-Sep-2022, 19:00-20:00 (19 months ago)
Abstract: Building on my lecture from ANTS-XV, we classify extensions of function fields (of curves over finite fields) with relative class number 1. Many of the ingredients come from the study of the maximum number of points on a curve over a finite field, such as the function field analogue of Weil's explicit formulas (a/k/a the "linear programming method"). Additional tools include the classification of abelian varieties of order 1 and the geometry of moduli spaces of curves of genus up to 7.
algebraic geometrynumber theory
Audience: researchers in the topic
Series comments: To receive announcements by email, add yourself to the nt mailing list.
Organizers: | Edgar Costa*, Siyan Daniel Li-Huerta*, Bjorn Poonen*, David Roe*, Andrew Sutherland*, Robin Zhang*, Wei Zhang*, Shiva Chidambaram* |
*contact for this listing |
Export talk to