5 papers
EKOR and BT stratifications for basic unramified Rapoport-Zink spaces
Joseph Muller
In this paper, we establish the relation between the Ekedahl-Kottwitz-Oort-Rapoport stratification and the Bruhat-Tits stratification on basic unramified Rapop…
Twisted Gelfand-Ponomarev modules
Joseph Muller, Chia-Fu Yu
In this expository paper, given a field and two automorphisms , we give a self-contained proof of the classification of finite dimensional -vector s…
The Bruhat-Tits stratification for basic unramified Rapoport-Zink spaces at arbitrary parahoric level
Joseph Muller
In this paper, we describe a stratification on the reduced special fiber of the basic unramified unitary Rapoport-Zink space of signature and at arbitrary parahoric level…
Nearby cycles on the local model for the PEL Shimura variety over a ramified prime
Joseph Muller
In this paper, we compute the cohomology sheaves of the -adic nearby cycles on the local model of the PEL Shimura variety over a ramified prime, with lev…
Cohomology of the Bruhat-Tits strata in the supersingular locus of the Shimura variety at a ramified prime
Joseph Muller
The supersingular locus of the Shimura variety at a ramified prime is stratified by Coxeter varieties attached to finite symplectic groups. In this paper,…