Beauville surfaces without real structures.- Couniformization of curves over number fields.- On the V-filtration of -modules.- Hecke orbits on Siegel modular varieties.- Ax-Kochen-Eršov Theorems for p-adic integrals and motivic integration.- Nested sets and Jeffrey-Kirwan residues.- Counting extensions of function fields with bounded discriminant and specified Galois group.- Classical and minimal models of the moduli space of curves of genus two.- Mirror symmetry and Langlands duality in the non-Abelian Hodge theory of a curve.- Mahler measure for dynamical systems on ?1 and intersection theory on a singular arithmetic surface.- A Combination of the Conjectures of Mordell-Lang and André-Oort.- Motivic approach to limit sheaves.- Counting points on cubic surfaces, II.- Quantum cohomology of isotropic Grassmannians.- Endomorphism algebras of superelliptic jacobians.