论文标题

Langlands双旗品种上的椭圆类

Elliptic classes on Langlands dual flag varieties

论文作者

Rimanyi, Richard, Weber, Andrzej

论文摘要

舒伯特品种的特征类别可用于研究同质空间的几何形状和组合。我们证明了椭圆形的舒伯特品种在广义的全旗品种与Langlands Dual上的关系之间的关系。只有在舒伯特演算从共同论或K理论提升到椭圆水平时,才能揭示这种新的对称性。

Characteristic classes of Schubert varieties can be used to study the geometry and the combinatorics of homogeneous spaces. We prove a relation between elliptic classes of Schubert varieties on a generalized full flag variety and those on its Langlands dual. This new symmetry is only revealed if Schubert calculus is elevated from cohomology or K theory to the elliptic level.

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