Galois representations modulo p and cohomology of Hilbert modular varieties
Mladen Dimitrov (2005)
Annales scientifiques de l'École Normale Supérieure
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Mladen Dimitrov (2005)
Annales scientifiques de l'École Normale Supérieure
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Adriaan Herremans (2003)
Annales de l’institut Fourier
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We state a conjecture concerning modular absolutely irreducible odd 2-dimensional representations of the absolute Galois group over finite fields which is purely combinatorial (without using modular forms) and proof that it is equivalent to Serre’s strong conjecture. The main idea is to replace modular forms with coefficients in a finite field of characteristic , by their counterparts in the theory of modular symbols.
Samit Dasgupta (2005)
Annales scientifiques de l'École Normale Supérieure
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Alexander F. Brown, Eknath P. Ghate (2003)
Annales de l’institut Fourier
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We study the endomorphism algebra of the motive attached to a non-CM elliptic modular cusp form. We prove that this algebra has a sub-algebra isomorphic to a certain crossed product algebra . The Tate conjecture predicts that is the full endomorphism algebra of the motive. We also investigate the Brauer class of . For example we show that if the nebentypus is real and is a prime that does not divide the level, then the local behaviour of at a place lying above is essentially...
Bas Edixhoven (1999-2000)
Séminaire Bourbaki
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