Galois representations and Cohomology of SL(3, ℤ)

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Conjecturally, by the Langlands philosophy, a cuspidal cohomology class of level N for SL(n, ℤ) should have an attached Galois representation. This is a finite-dimensional l-adic representation π of Gal(ℚ/ℚ), unramified for primes p not dividing l and N, for which the image of a Frobenius element for p is related to the p-th Hecke eigenvalues of the class. By a conjecture of Ash [1], the same should hold for l-torsion cohomology classes α.

Original languageEnglish (US)
Title of host publicationAlgorithmic Number Theory - 1st International Symposium, ANTS-I, Proceedings
EditorsLeonard M. Adleman, Ming-Deh Huang
PublisherSpringer Verlag
ISBN (Print)9783540586913
DOIs
StatePublished - Jan 1 1994
Externally publishedYes
Event1st Algorithmic Number Thoery Symposium, ANTS-I 1994 - Ithaca, United States
Duration: May 6 1994May 9 1994

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume877 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference1st Algorithmic Number Thoery Symposium, ANTS-I 1994
CountryUnited States
CityIthaca
Period5/6/945/9/94

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    McConnell, M. (1994). Galois representations and Cohomology of SL(3, ℤ). In L. M. Adleman, & M-D. Huang (Eds.), Algorithmic Number Theory - 1st International Symposium, ANTS-I, Proceedings (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 877 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-58691-1_51