Langlands ( 1966 ) conjectured .
Schmid ( 1976 ) proved , a geometric analogue of the Borel -- Bott -- Weil theorem , for the discrete series , using L cohomology instead of the coherent sheaf cohomology used in the compact case .
Langlands ( 1966 ) conjectured , and Schmid ( 1976 ) proved , a geometric analogue of the Borel -- Bott -- Weil theorem , for the discrete series , using L cohomology instead of the coherent sheaf cohomology used in the compact case .