Affinoids in the Lubin-Tate perfectoid space and special cases of the local Langlands correspondence in positive characteristic : announcement (Algebraic Number Theory and Related Topics 2015)

• TOKIMOTO, Kazuki

  Research Institute for Mathematical Sciences, Kyoto University

Abstract

This is a research announcement of [To16], where, following the work of Weinstein, Boyarchenko-Weinstein and Imai-Tsushima, we construct a family of affinoids in the Lubin-Tate perfectoid space and formal models such that the ell‐adic cohomology groups of the reductions of the formal models realize the local Langlands correspondence for GL(n) and the local Jacquet‐Langlands correspondence for certain representations related to totally tamely ramified extensions of the base field of degree n. Unlike the preceding work, the base field is assumed to be of positive characteristic in [To16].

"Algebraic Number Theory and Related Topics 2015". November 30 - December 4, 2015. edited by Hiroki Takahashi, Yasuo Ohno and Takahiro Tsushima. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

Journal

• RIMS Kokyuroku Bessatsu

  RIMS Kokyuroku Bessatsu B72 147-159, 2018-12

  Research Institute for Mathematical Sciences, Kyoto University

Keywords

• 11G25
• 11F80
• local Langlands correspondence
• Lubin-Tate space
• affinoids
• essentially tame representations

Details

• CRID: 1050001338874672384
• NII Article ID: 120006766076
• NII Book ID: AA12196120
• ISSN: 18816193
• HANDLE: 2433/244741
• Text Lang: en
• Article Type: departmental bulletin paper
• Data Source:
  • IRDB
  • CiNii Articles