Introduction to Shimura varieties with bad reduction of parahoric type
arXiv:math/0409482
Abstract
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 of certain Shimura varieties with parahoric level structure at p.
An expanded version of my short course in the June 2003 Summer School on Harmonic Analysis, the Trace Formula, and Shimura Varieties, held at the Fields Institute; 63 pp., 2 figures