52 citations · 59 across the 5 of their papers we have counts for
7 papers
Dimensions of some affine Deligne-Lusztig varieties
Ulrich Goertz, Thomas J. Haines, Robert E. Kottwitz +1
This paper concerns the dimensions of certain affine Deligne-Lusztig varieties, both in the affine Grassmannian and in the affine flag manifold. Rapoport conjectured a formula for…
Bounds on weights of nearby cycles and Wakimoto sheaves on affine flag manifolds
Ulrich Goertz, Thomas J. Haines
We study certain nearby cycles sheaves on an affine flag manifold which arise naturally in the Beilinson-Gaitsgory deformation of the affine flag manifold to the affine Grassmannia…
Introduction to Shimura varieties with bad reduction of parahoric type
Thomas J. Haines
This survey article explains the construction of Rapoport-Zink local models and their use in understanding various questions relating to the singularities in the reduction modulo p…
The Jordan-Hoelder series for nearby cycles on some Shimura varieties and affine flag varieties
Ulrich Goertz, Thomas J. Haines
We study the Jordan-Hoelder series for nearby cycles on certain Shimura varieties and Rapoport-Zink local models, and on finite-dimensional pieces of Beilinson's deformation of the…
Structure constants for Hecke and representation rings
Thomas J. Haines
We study the structure constants defining two related rings: the spherical Hecke algebra of a split connected reductive group over a non-Archimedean local field, and the representa…
Formulae relating the Bernstein and Iwahori-Matsumoto presentations of an affine Hecke algebra
Thomas J. Haines, Alexandra Pettet
We give explicit formulae for certain elements occurring in the Bernstein presentation of an affine Hecke algebra, in terms of the usual Iwahori- Matsumoto generators. We utilize c…