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Modular curves, modular forms, lattices, Galois representations

2011
This chapter provides the necessary background concerning modular curves and modular forms. It covers modular curves, modular forms, lattices and modular forms, Galois representations attached to eigenforms, and Galois representations over finite fields and reduction to torsion in Jacobians.
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Modular Forms and ℓ-Adic Representations

2006
This report is another attempt on the part of its author to come to terms with the circumstance that L-functions can be introduced not only in the context of automorphic forms, with which he has had some experience, but also in the context of diophantine geometry. That this circumstance can be the source of deep problems was, I believe, first perceived
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Reconstruction of Modular Data from $${\text {SL}}_2({\mathbb {Z}})$$ Representations

Communications in Mathematical Physics, 2023
Eric Rowell, Zhenghan Wang, Siu-Hung Ng
exaly  

The Monomial Lattice in Modular Symmetric Power Representations

Algebras and Representation Theory, 2021
Eknath Ghate, Ravitheja Vangala
exaly  

RNA-binding proteins: modular design for efficient function

Nature Reviews Molecular Cell Biology, 2007
Gabriele Varani
exaly  

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