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Modular curves, modular forms, lattices, Galois representations
2011This 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
2006This 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, 2023Eric Rowell, Zhenghan Wang, Siu-Hung Ng
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The Monomial Lattice in Modular Symmetric Power Representations
Algebras and Representation Theory, 2021Eknath Ghate, Ravitheja Vangala
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Singer cycles in 2-modular representations of the group $$GL_{n+1}(2)$$ G L n + 1 ( 2 )
Archiv Der Mathematik, 2018Alexandre Zalesski
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RNA-binding proteins: modular design for efficient function
Nature Reviews Molecular Cell Biology, 2007Gabriele Varani
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