Arithmetic algebraic geometry (Q555987)

Contributions: -- Ofer Gabber, On purity for the Brauer group p.1971 -- Max Lieblich, Moduli of Azumaya Algebras p.1973 -- Minhyong Kim, The unipotent Albanese map and Diophantine geometry p.1975 -- Lorenzo Ramero, Local systems on the \(p\)-adic punctured disc p.1976 -- Gerard Laumon (joint with Ngô Bao Châu), Fundamental Lemma and Hitchin Fibration for Unitary Groups p.1978 -- Oliver Bültel, Construction of abelian varieties with given monodromy p.1979 -- Bas Edixhoven, Computation of \(\mod l\) Galois representations associated to modular forms p.1981 -- A.J.de Jong (joint with Jason Starr), Rational Curves on Varieties p.1982 -- Richard Pink, The Conjectures of Mordell-Lang and André-Oort p.1985 -- Jörg Wildeshaus, Boundary motive of a Shimura variety p.1987 -- Ben Moonen (joint with Torsten Wedhorn), \(\mod p\) period domains p.1988 -- Michael Rapoport (joint with S.Kudla and T.Yang), Modular forms from Shimura curves p.1991 -- Christopher Deninger (joint with Annette Werner), Vector bundles on \(p\)-adic curves and parallel transport p.1994 -- Alexander Goncharov (joint with V.V.Fock), Moduli spaces of local systems, positivity and higher Teichmüller theory p.1997 -- Fred Diamond, On Serre's conjecture over totally real fields p.1998 -- Michael Harris (joint with Richard Taylor and in part with Laurent Clozel), Deformations of automorphic Galois representations and applications p.1999 -- Guido Kings, Degeneration of polylogarithms and special values of L-functions of totally real fields p.2002 -- Emmanuel Ullmo (joint with L.Clozel), Equidistribution of special subvarieties of Shimura varieties p.2003