49 citations · 98 across the 7 of their papers we have counts for
9 papers
On the cohomology of simple Shimura varieties with non quasi-split local groups
Jingren Chi, Thomas J. Haines
We study the Scholze test functions for bad reduction of simple Shimura varieties at a prime where the underlying local group is any inner form of a product of Weil restrictions of…
Alcove walk models for parabolic Mirković-Vilonen intersections and branching to Levi subgroups
Thomas J. Haines
This article establishes alcove walk models for intersections of Schubert varieties and partially semi-infinite orbits in the affine Grassmannian of a split reductive group (we cal…
Cellular pavings of fibers of convolution morphisms
Thomas J. Haines
This article proves, in the case of split groups over arbitrary fields, that all fibers of convolution morphisms attached to parahoric affine flag varieties are paved by products o…
Singularities of local models
Najmuddin Fakhruddin, Thomas Haines, João Lourenço +1
We construct local models of Shimura varieties and investigate their singularities, with special emphasis on wildly ramified cases. More precisely, with the exception of odd unitar…
Vertexwise criteria for admissibility of alcoves
Thomas J. Haines, Xuhua He
We give a new description of the set of admissible alcoves as an intersection of certain "obtuse cones" of alcoves, and we show this description may be given by imposing c…
Dimensions of affine Deligne-Lusztig varieties in affine flag varieties
Ulrich Goertz, Xuhua He
Affine Deligne-Lusztig varieties are analogs of Deligne-Lusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper arXiv:0805.0045v4 by Ha…