Principal Bundles on p-Adic Curves and Parallel Transport

On Principal Values on P-Adic Manifolds

In the paper [L] a project for proving the existence of transfer factors for forms of SL(3), especially for the unitary groups studied by Rogawski, was begun, and it was promised that it would be completed by the present authors. Their paper is still in the course of being written, but the present essay can serve as an introduction to it. It deals with SL(2) which has, of course, already been d...

p-adic vector bundles on curves and abelian varieties and representations of the fundamental group

On Saltman’s p-adic Curves Papers

These notes are based on Saltman’s seminal work on the Brauer group Br(K) of the function field K of a p-adic curve XQp . In [S1] and [S2], Saltman showed the index of an element in the prime-to-p part of Br(K) divides the square of its period, and that all division algebras of prime degree q 6= p are cyclic. He also gave a geometric criterion for a class of prime period q 6= p to have index q....

p-ADIC PERIODS, p-ADIC L-FUNCTIONS, AND THE p-ADIC UNIFORMIZATION OF SHIMURA CURVES

Universal Families on Moduli Spaces of Principal Bundles on Curves

Let H be a connected semisimple linear algebraic group defined over C and X a compact connected Riemann surface of genus at least three. Let M X (H) be the moduli space parametrising all topologically trivial stable principal H-bundles over X whose automorphism group coincides with the centre of H . It is a Zariski open dense subset of the moduli space of stable principal H-bundles. We prove th...