L’INSTITUTFOURIER DE ANNALES

In this section we introduce Hecke operators on group cohomology using the double cosets approach and we prove that the Eichler-Shimura isomorphism is compatible with the Hecke

H ypothèse d'au ta n t moins gratuite que l’on peut voir que cette aire bas-valaisanne de umana est flanquée à l’ouest de l’émana de T roistorrents et à l’est

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In Section 3 we introduce the modular symbols formalism extended to subgroups of finite index in Hecke triangle groups, and give a description in terms of Manin symbols.. An

After recalling the basic facts about the local models for symplectic groups, we prove two results, Proposition 6.5 (on the integrality properties of differentials) and Lemma 6.7

Lemma 8.2. We define H to be the kernel of this map.. All the generators have a non-trivial action on the cell, except g 2,2. Its abelianization is isomorphic to Z/2 × Z/2.. Thus,

On the space of Drinfeld modular forms of fixed weight and type, we have the linear form b n : f 7→ b n (f ) and an action of a Hecke algebra.. In the present work, we investigate

• Then taking ξ regular and as the free quotient of the finite cohomology outside the middle degree are trivial, we observe that, for each divisor s of d, we can find torsion classes