Reduction modulo p of cuspidal representations and weights in Serre's conjecture

Michael M. Schein

doi:10.1112/blms/bdn117

Reduction modulo p of cuspidal representations and weights in Serre's conjecture

Michael M. Schein

Department of Mathematics

Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Let script O sign be the ring of integers of a p-adic field and its maximal ideal. This paper computes the Jordan-Hölder decomposition of the reduction modulo p of the cuspidal representations of GL2(script O sign/ ^e) for e ≥ 1. An alternative formulation of Serre's conjecture for Hilbert modular forms is then provided.

Original language	English
Pages (from-to)	147-154
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	41
Issue number	1
DOIs	https://doi.org/10.1112/blms/bdn117
State	Published - Feb 2009

Bibliographical note

Funding Information:
Acknowledgements. The author is very grateful to the referee for comments that improved the exposition, and particularly for an observation that considerably simplified the computations in Section 2. He is grateful to Ron Livné and the Golda Meir Fellowship Trust for supporting this research.

Funding

Acknowledgements. The author is very grateful to the referee for comments that improved the exposition, and particularly for an observation that considerably simplified the computations in Section 2. He is grateful to Ron Livné and the Golda Meir Fellowship Trust for supporting this research.

Funders	Funder number
Golda Meir Fellowship Trust

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10.1112/blms/bdn117

Cite this

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Reduction modulo p of cuspidal representations and weights in Serre's conjecture

Abstract

Bibliographical note

Funding

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