2017年度數學(xué)與統計學(xué)院外請專(zhuān)家學(xué)術(shù)報告之十二
時(shí)間:2017-05-02 18:10:41 來(lái)源: 作者:數學(xué)學(xué)院 閱讀: 次
報告摘要:We give a Poisson geometric interpretation of certain maps introduced by Knutson, Woo, and Yong in their work relating singularities of Richardson varieties and of Schubert varieties in flag varieties of a complex semisimple Lie group G. The KWY maps give rise to an atlas on the flag variety G/B of Borel subgroups of G, with one affine coordinate chart for each element in the Weyl group W of G. In each of these coordinate charts, we give explicit formulas for the quotient standard Poisson structures on G/B. The result gives a covering of G/B by Poisson CGLs.