REDUCTIONS OF 2 -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE L -INVARIANT

Authors

John Bergdall, Bryn Mawr CollegeFollow
Brandon Levin, University of Arizona
Tong Liu, Purdue University

Document Type

Article

Version

Author's Final Manuscript

Publication Title

Journal of the Institute of Mathematics of Jussieu

Publication Date

2022

Abstract

We determine reductions of 2 -dimensional, irreducible, semistable, and non-crystalline representations of Gal(ℚ𝑝/ℚ𝑝) with Hodge–Tate weights 0<𝑘−1 and with L -invariant whose p-adic norm is sufficiently large, depending on k. Our main result provides the first systematic examples of the reductions for 𝑘≥𝑝 .

Citation

"Bergdall, J., Levin, B., & Liu, T. 2022. ""REDUCTIONS OF 2 -DIMENSIONAL SEMISTABLE REPRESENTATIONS WITH LARGE L-INVARIANT."" Journal of the Institute of Mathematics of Jussieu: 1-26. "

DOI

https://doi.org/10.1017/S1474748022000081