This is an expository talk on Connes-Consani's theory of geometry over field with one element. It is based on Segal's theory of gamma sets (see arXiv:1502.05585 [math.AG]). I will explain the background, the basic constructions and some interesting examples.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/5312