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- Title
Rigid inner forms vs isocrystals.
- Authors
Kaletha, Tasho
- Abstract
We compare two statements of the refined local Langlands correspondence for connected reductive groups defined over a p-adic field: one involving Kottwitz's set B.G/of isocrystals with additional structure, and one involving the cohomology set H¹(u - W;Z - G) 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 H¹(u - W;Z - G).
- Subjects
GALOIS cohomology; ISOMORPHISM (Mathematics); DUALITY (Logic); PARAMETERIZATION; GENERALIZATION
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2018, Vol 20, Issue 1, p61
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/JEMS/759