The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curve

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149990In this note we show that the Langlands lemma from the theory of Eisenstein series can be used to invert the recursion relation for the Poincaré series of the open substack of semi-stable $G$-bundles which was established by Atiyah/Bott and Harder/Narasimhan.17 pages, PlainTeXAlgebraic Geometry14H60 (Primary) 22E55 (Secondary)The Langlands lemma and the Betti numbers of stacks of $G$--bundles on a curvetext