# Chevalley group schemes as varieties over the field of one element

Langworthy, Andrew (2015). Chevalley group schemes as varieties over the field of one element. University of Birmingham. M.Res.

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## Abstract

The “field of one element" is a concept first suggested by J. Tits in 1957. It has been worked on and redefined many times over the past fifty years; in this paper we consider varieties over a quadratic extension of this field, introduced by C. Soule and then refined by Connes and Consani. We follow the Connes and Consani paper “On The Notion Of Geometry Over F$$_1$$" and present their results along with the necessary introduction to Chevalley groups and algebraic geometry.

Type of Work: Thesis (Masters by Research > M.Res.)
Award Type: Masters by Research > M.Res.
Supervisor(s):
Supervisor(s)EmailORCID
Hoffman, CorneliusUNSPECIFIEDUNSPECIFIED
Magaard Dr, KayUNSPECIFIEDUNSPECIFIED
Licence:
College/Faculty: Colleges (2008 onwards) > College of Engineering & Physical Sciences
School or Department: School of Mathematics
Funders: None/not applicable
Subjects: Q Science > QA Mathematics
URI: http://etheses.bham.ac.uk/id/eprint/5464

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