## Speaker:

Jonathan Beardsley

## Speaker Link:

## Institution:

University of Nevada, Reno

## Time:

Thursday, February 22, 2024 - 1:00pm

## Host:

## Location:

RH 510R

I will briefly review Connes and Consani's approach to algebra over F₁ via Segal Γ-sets. Then I will describe joint work with Nakamura which, building on work of Nakamura and Reyes, gives a faithful embedding of simple pointed matroids, and a fully faithful embedding of projective geometries, into this model. If there is time, I will suggest some consequences of Connes and Consani's which naturally suggest a homotopical approach to F₁.