| Résume | We recall Hida's construction of the universalnearly-ordinary Hecke algebra for totally real number fields. Themain theorem of Hida's theory allows us to lift a classical modularform $f_0$ to a homomorphism of this Hecke algebra and byspecializing at various integer weights we get a family of cusp forms$f_{(n,v)}$. One can attach in a natural way certain cohomologyclasses to these cusp forms and we prove a control theorem for thesecohomology groups. We then construct a $p$-adic L-function whichinterpolates single variable $p$-adic L-functions attached to$f_{(n,v)}$. |
