The talks will address a special class of principal bundles
over an abelian variety: those that are isomorphic to their pull-backs
under all translations. Using some structure theory of algebraic groups, we will present a classification of these `homogeneous' bundles, with
applications to projective bundles and the Brauer group of abelian
varieties.
Plan :
1.Structure of algebraic groups (possibly nonlinear)
2.Classification of homogeneous bundles over abelian varieties
3. Homogeneous projective bundles: irreducible bundles and the
Brauer group