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Article: Kottwitz-rapoport conjecture on unions of affine Deligne-Lusztig varieties
| Title | Kottwitz-rapoport conjecture on unions of affine Deligne-Lusztig varieties |
|---|---|
| Authors | |
| Issue Date | 2016 |
| Citation | Annales Scientifiques de l'Ecole Normale Superieure, 2016, v. 49, n. 5, p. 1125-1141 How to Cite? |
| Abstract | In this paper, we prove a conjecture of Kottwitz and Rapoport on a union of (generalized) affine Deligne-Lusztig varieties X(μ, b)J for a p-adic group G and its parahoric subgroup PJ. We show that X(μ, b)J = 0 if and only if the group-theoretic version of Mazur's inequality is satisfied. In the process, we obtain a generalization of Grothendieck's conjecture on the closure relation of σ-conjugacy classes of a twisted loop group. |
| Persistent Identifier | http://hdl.handle.net/10722/329440 |
| ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 2.419 |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | He, Xuhua | - |
| dc.date.accessioned | 2023-08-09T03:32:48Z | - |
| dc.date.available | 2023-08-09T03:32:48Z | - |
| dc.date.issued | 2016 | - |
| dc.identifier.citation | Annales Scientifiques de l'Ecole Normale Superieure, 2016, v. 49, n. 5, p. 1125-1141 | - |
| dc.identifier.issn | 0012-9593 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/329440 | - |
| dc.description.abstract | In this paper, we prove a conjecture of Kottwitz and Rapoport on a union of (generalized) affine Deligne-Lusztig varieties X(μ, b)J for a p-adic group G and its parahoric subgroup PJ. We show that X(μ, b)J = 0 if and only if the group-theoretic version of Mazur's inequality is satisfied. In the process, we obtain a generalization of Grothendieck's conjecture on the closure relation of σ-conjugacy classes of a twisted loop group. | - |
| dc.language | eng | - |
| dc.relation.ispartof | Annales Scientifiques de l'Ecole Normale Superieure | - |
| dc.title | Kottwitz-rapoport conjecture on unions of affine Deligne-Lusztig varieties | - |
| dc.type | Article | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.24033/asens.2305 | - |
| dc.identifier.scopus | eid_2-s2.0-85018407419 | - |
| dc.identifier.volume | 49 | - |
| dc.identifier.issue | 5 | - |
| dc.identifier.spage | 1125 | - |
| dc.identifier.epage | 1141 | - |