Abstract

Borel Eisenstein series for a split reductive group G over a global eld F are sums over B(F)nG(F), where B is the Borel subgroup, that is, over integer points  in the ag vari-ety X = BnG. We consider \Schubert Eisenstein series" in which the summation is restricted to a single Schubert cell. The case of GL3 was investigated as a clue to the general situation, where properties such as analytic continuation and functional relations were investigated. We investigate their Whittaker functions. This is working in progress jointly with D. Bump.