Dokchitser, Tim;
Dokchitser, Vladimir;
(2025)
Character formula for Weil representations in terms of Frobenius traces.
In: Bullach, Dominik and Macias Castillo, Daniel, (eds.)
Arithmetic of L-Functions - Proceedings of an International Conference held at ICMAT, Madrid, May 2023.
(pp. 101-111).
EMS Press
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Abstract
It is known that the etale cohomology of a potentially good abelian variety over a local field K is determined by its Euler factors over the extensions of K. We extend this to all abelian varieties, show that it is enough to take extensions where A is semistable, and give a uniform version over p-adic fields where the extensions are the same for all abelian varieties of a given dimension. The results are explicit, and apply to a wide class of Weil-Deligne representations.
| Type: | Book chapter |
|---|---|
| Title: | Character formula for Weil representations in terms of Frobenius traces |
| ISBN-13: | 9783985470846 |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.4171/ECR/20/4 |
| Publisher version: | https://doi.org/10.4171/ecr/20/4 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Weil representations, étale cohomology, Frobenius traces, abelian varieties |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10205744 |
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