Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | 洪久族 教授，university of North Carolina at Chapel Hill
| | Inviter: | | Title:
| A combinatorial study of affine Schubert varieties in affine Grassmannian | Time & Venue:
| 2019.7.5 16:00-17:00 N702 | Abstract:
| We study the combinatorial properties of affine Schubert varieties, the closure of the orbits of the Iwahori subgroup I in affine Grassmannian Gr of a simple algebraic group G of adjoint type. In this talk, I will explain a simple algorithm which describes all I-orbits in an affine Schubert variety in terms of coweights. I will explain the behavior of the closure relations of I-orbits in each chamber of the coweight lattice, and the behavior after crossing the walls of chambers. I will also explain a combinatorial duality between affine Schubert varieties in Gr and level one affine Demazure modules of the Kac-Moody algebra with the Dynkin diagram dual to the extended Dynkin diagram of G. This talk will be based on the joint work with Marc Besson. | |
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