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Seminario Dottorato: An introduction to geometry over the field with one element

Wednesday 29 January 2014, h. 14:30 - Room 2BC30 - Federico Bambozzi

ARGOMENTI: Seminari Dottorato

SEMINARIO DOTTORATO

Wednesday 29 January 2014, h. 14:30, room 2BC30
Federico Bambozzi (Padova - Dip. Mat.)
"An introduction to geometry over the field with one element"

Abstract
In this talk we first give a brief overview of the motivations behind the research on geometry over the field with one element. We then show one possible way to define affine schemes over the field with one element in analogy with the classical theories of algebraic varieties over the complex numbers and of schemes by Grothendieck. We end the talk by giving some examples of schemes over F_1.

Rif. int. C. Marastoni, T. Vargiolu

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