Title: Foundations of Arithmetic Differential Geometry
Subjects: Geometry, differential, Number theory, Differential Geometry, Forms and linear algebraic groups, Classical groups, Discontinuous groups and automorphic forms, $p$-adic theory, local fields, Algebraic geometry, Arithmetic problems. Diophantine geometry, Local ground fields, Differential geometry, Global differential geometry, Methods of Riemannian geometry, including PDE methods; curvature restrictions, Number theory -- Forms and linear algebraic groups -- Classical groups, Number theory -- Discontinuous groups and automorphic forms -- $p$-adic theory, local fields, Algebraic geometry -- Arithmetic problems. Diophantine geometry -- Local ground fields, Differential geometry -- Global differential geometry -- Methods of Riemannian geometry, including PDE methods; curvature restrictions