Geometric Methods in Algebra and Number Theory [electronic resource] / edited by Fedor Bogomolov, Yuri Tschinkel.

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.