Inhaltsverzeichnis
Stable reduction of modular curves. - On p-adic families of automorphic forms. - ? -curves and abelian varieties of GL2-type from dihedral genus 2 curves. - The old subvariety of J0(NM). - Irreducibility of Galois actions on level 1 Siegel cusp forms. - On elliptic K-curves. - ? -curves and Galois representations. - On the local behaviour of ordinary modular Galois representations. - Arithmetic of ? -curves. - Serre s conjecture for mod 7 Galois representations. - Pairings in the arithmetic of elliptic curves. - Explicit parametrizations of ordinary and supersingular regions of X0(Pn). - Elliptic ? -curves with complex multiplication. - Abelian varieties over ? with large endomorphism algebras and their simple components over ? . - Abelian varieties over ? and modular forms. - Shimura curves embedded in Igusa s threefold. - Shafarevich-Tate groups of nonsquare order.