6 papers
Perverse sheaves and t-structures on the thin and thick affine flag varieties
Roman Bezrukavnikov, Calder Morton-Ferguson
We study the categories and of Iwahori-equivariant perverse sheaves on the thin and thick affine flag varieties ass…
Modular reduction of complex representations of finite reductive groups
Roman Bezrukavnikov, Michael Finkelberg, David Kazhdan +1
The main result describes the Brauer-Nesbitt reduction of unipotent representations of a finite group of Lie type, expressing it as an explicit linear combination of the restrictio…
Weight modules and gluing of sheaves on the flag variety
Pablo Boixeda Alvarez, Calder Morton-Ferguson
We study a natural enlargement of the BGG Category O for a semisimple Lie algebra: the category of weight modules with trivial central character and finite-dimensional weight space…
Markov chains on Weyl groups from the geometry of the flag variety
Persi Diaconis, Calder Morton-Ferguson
This paper studies a basic Markov chain, the Burnside process, on the space of flags with and its upper triangular matrices. This gives rise to a…
Polishchuk's conjecture and Kazhdan-Laumon representations
Calder Morton-Ferguson
In their 1988 paper "Gluing of perverse sheaves and discrete series representations," D. Kazhdan and G. Laumon constructed an abelian category associated to a reducti…
Kazhdan-Laumon Category O, Braverman-Kazhdan Schwartz space, and the semi-infinite flag variety
Calder Morton-Ferguson
We define and study an analogue of Category O in the context of Kazhdan and Laumon's gluing construction for perverse sheaves on the basic affine space. We explicitly describe the…