English

Elliptic classes on Langlands dual flag varieties

Algebraic Geometry 2021-01-01 v2

Abstract

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.

Keywords

Cite

@article{arxiv.2007.08976,
  title  = {Elliptic classes on Langlands dual flag varieties},
  author = {Richard Rimanyi and Andrzej Weber},
  journal= {arXiv preprint arXiv:2007.08976},
  year   = {2021}
}
R2 v1 2026-06-23T17:11:48.484Z