J. Tilouine

activity

19992002

collaborators

4 papers

math.NT2002

Arithmetic Hilbert modular varieties and forms for $Γ_{1} (c, n)$

Mladen Dimitrov, Jacques Tilouine

We recall first the analytic theory of the Hilbert modular varieties of level $Γ_{1} (c, n)$ and their compactifications. We construct arithmetic toroidal compact…

math.RT2000

Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $Z_{p}$ for representations with p-small weights

P. Polo, J. Tilouine

We show that for $p$ small highest weight $λ$ , 1) there is a $Z_{p}$ -integral version of the Bernstein-Gelfand-Gelfand complex, still a direct summand subcomplex of the standard comp…

math.AG2000

Cohomology of Siegel Varieties with p-adic integral coefficients and Applications

A. Mokrane, J. Tilouine

Under the assumption that Galois representations associated to Siegel modular forms exist (it is known only for genus at most 2), we show that the cohomology with p-adic integral c…

math.NT1999

Several variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations

Jacques Tilouine, Eric Urban

Let F be a totally real field and G=GSp(4)_{/F}. In this paper, we show under a weak assumption that, given a Hecke eigensystem lambda which is (p,P)-ordinary for a fixed parabolic…

Arithmetic Hilbert modular varieties and forms for Γ1​(c,n)

Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over Zp​ for representations with p-small weights

Cohomology of Siegel Varieties with p-adic integral coefficients and Applications

Several variable p-adic families of Siegel-Hilbert cusp eigensystems and their Galois representations

Arithmetic Hilbert modular varieties and forms for $Γ_{1} (c, n)$

Bernstein-Gelfand-Gelfand complexes and cohomology of nilpotent groups over $Z_{p}$ for representations with p-small weights