2017年度威廉希尔外请专家学术报告之十二
时间:2017-05-02 18:10:41 来源: 作者:数学学院 阅读: 次
报告摘要: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.