Harris-Viehmann conjecture for Hodge-Newton reducible Rapoport-Zink spaces

摘要

Rapoport-Zink spaces, or more generally local Shimura varieties, are expected to provide geometric realization of the local Langlands correspondence via their l-adic cohomology. Along this line is a conjecture by Harris and Viehmann, which roughly says that when the underlying local Shimura datum is not basic, the l-adic cohomology of the local Shimura variety is parabolically induced.