Speaker : Prof.Young Ju Choie (Pohang University of Science and Technology)
Title : Recent Progress in Schubert Eisenstein Series
Time : 2017-12-28 (Thu) 15:00 - 16:00
Place : Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: Borel Eisenstein series for a split reductive group G over a global field F are sums over B(F)nG(F), where B is the Borel subgroup, that is, over integer points in the algebraic variety 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.