Zeta functions of F 1 -buildings

Anton Deitmar, Ming-Hsuan Kang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

The analogue of the Bruhat-Tits building of a p-adic group in F1-geometry is a single apartment. In this setting, the trace formula gives rise to a several variable zeta function analogously to the p-adic case. The analogy carries on to the fact that the restriction to certain lines yield zeta functions which are defined in geometrical terms. Also, the classical formula of Ihara has an analogue in this setting.

Original languageEnglish
Pages (from-to)807-822
Number of pages16
JournalJournal of the Mathematical Society of Japan
Volume68
Issue number2
DOIs
StatePublished - 1 Jan 2016

Keywords

  • Bruhat-Tits building
  • Field of one element
  • Ihara zeta function

Fingerprint

Dive into the research topics of 'Zeta functions of F 1 -buildings'. Together they form a unique fingerprint.

Cite this