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| 開催情報 | 水曜日 17:00～18:00 数理科学研究科棟(駒場) 117号室 |
|---|---|
| 担当者 | 今井 直毅，ケリー シェーン |
2026年05月27日(水)
17:00-18:00 数理科学研究科棟(駒場) 117号室
大西晴人 氏 (東京大学大学院数理科学研究科)
Geometric realization of the local Langlands and local Jacquet-Langlands correspondences for GL(4) in a partially ramified case
大西晴人 氏 (東京大学大学院数理科学研究科)
Geometric realization of the local Langlands and local Jacquet-Langlands correspondences for GL(4) in a partially ramified case
[ 講演概要 ]
The local Langlands correspondence and the local Jacquet-Langlands correspondence are realized using Lubin-Tate spaces. However, only limited cases of the correspondence between supercuspidal representations and L-parameters have been geometrically realized by algebraic varieties defined by explicit equations. There are several works in which such algebraic varieties are obtained as reductions of special affinoids in the Lubin-Tate space at infinite level. Even in the essentially tame case, where the correspondence is explicitly described by Bushnell–Henniart, such affinoids had previously been constructed only in the unramified and totally ramified cases. In this talk, I will explain a result constructing such affinoids in a partially ramified case, under certain special assumptions.
The local Langlands correspondence and the local Jacquet-Langlands correspondence are realized using Lubin-Tate spaces. However, only limited cases of the correspondence between supercuspidal representations and L-parameters have been geometrically realized by algebraic varieties defined by explicit equations. There are several works in which such algebraic varieties are obtained as reductions of special affinoids in the Lubin-Tate space at infinite level. Even in the essentially tame case, where the correspondence is explicitly described by Bushnell–Henniart, such affinoids had previously been constructed only in the unramified and totally ramified cases. In this talk, I will explain a result constructing such affinoids in a partially ramified case, under certain special assumptions.
