Rigid inner forms vs isocrystals

  • Tasho Kaletha

    Harvard University, Cambridge, USA

Abstract

We compare two statements of the refined local Langlands correspondence for connected reductive groups defined over a -adic field: one involving Kottwitz’s set of isocrystals with additional structure, and one involving the cohomology set of [Kal16b]. We show that if either statement is valid for all connected reductive groups, then so is the other. We also discuss how the second statement depends on the choice of an element of ).

Cite this article

Tasho Kaletha, Rigid inner forms vs isocrystals. J. Eur. Math. Soc. 20 (2018), no. 1, pp. 61–101

DOI 10.4171/JEMS/759