Displaying similar documents to “Formal group laws for certain formal groups arising from modular curves”

The formal completion of the Néron model of J(p).

Enric Nart (1991)

Publicacions Matemàtiques

Similarity:

For any prime number p > 3 we compute the formal completion of the Néron model of J(p) in terms of the action of the Hecke algebra on the Z-module of all cusp forms (of weight 2 with respect to Γ(p)) with integral Fourier development at infinity.

A combinatorial interpretation of Serre's conjecture on modular Galois representations

Adriaan Herremans (2003)

Annales de l’institut Fourier

Similarity:

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 p , by their counterparts in the theory of modular symbols.