9 citations
2 papers
math.RT2015★ 7 cited
Soergel calculus and Schubert calculus
Xuhua He, Geordie Williamson
We reduce some key calculations of compositions of morphisms between Soergel bimodules ("Soergel calculus") to calculations in the nil Hecke ring ("Schubert calculus"). This formul…
math.AG2014★ 9 cited
Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties
Xuhua He
In this paper, we prove a conjecture of Kottwitz and Rapoport on a union of (generalized) affine Deligne-Lusztig varieties for any tamely ramified group and its par…