Local Indecomposability of Hilbert Modular Galois Representations

Bin Zhao[1]

  • [1] Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 4, page 1521-1560
  • ISSN: 0373-0956

Abstract

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We prove the indecomposability of the Galois representation restricted to the p -decomposition group attached to a non CM nearly p -ordinary weight two Hilbert modular form over a totally real field F under the assumption that either the degree of F over ℚ is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of F .

How to cite

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Zhao, Bin. "Local Indecomposability of Hilbert Modular Galois Representations." Annales de l’institut Fourier 64.4 (2014): 1521-1560. <http://eudml.org/doc/275427>.

@article{Zhao2014,
abstract = {We prove the indecomposability of the Galois representation restricted to the $p$-decomposition group attached to a non CM nearly $p$-ordinary weight two Hilbert modular form over a totally real field $F$ under the assumption that either the degree of $F$ over $\mathbb\{Q\}$ is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of $F$.},
affiliation = {Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA},
author = {Zhao, Bin},
journal = {Annales de l’institut Fourier},
keywords = {Galois representation; Hilbert modular forms; complex multiplication; modular Shimura varieties},
language = {eng},
number = {4},
pages = {1521-1560},
publisher = {Association des Annales de l’institut Fourier},
title = {Local Indecomposability of Hilbert Modular Galois Representations},
url = {http://eudml.org/doc/275427},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Zhao, Bin
TI - Local Indecomposability of Hilbert Modular Galois Representations
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 4
SP - 1521
EP - 1560
AB - We prove the indecomposability of the Galois representation restricted to the $p$-decomposition group attached to a non CM nearly $p$-ordinary weight two Hilbert modular form over a totally real field $F$ under the assumption that either the degree of $F$ over $\mathbb{Q}$ is odd or the automorphic representation attached to the Hilbert modular form is square integrable at some finite place of $F$.
LA - eng
KW - Galois representation; Hilbert modular forms; complex multiplication; modular Shimura varieties
UR - http://eudml.org/doc/275427
ER -

References

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