4 papers
Alcove walk models for parabolic MirkoviÄ-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…
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…
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…