The subject of my lecture this year is the frequency site, a Grothendieck topos with a structural beam. The results were obtained in collaboration with C. Consani.
References
A. Connes and C. Consani, "The arithmetic site", Comptes rendus mathématiques Ser. I, vol. 352, 2014, p. 971-975.
A. Connes and C. Consani, "Geometry of the arithmetic site", Adv. Math. vol. 291, 2016, p. 274-329.
A. Connes and C. Consani, "The scaling site", C. R. Math. Acad. Sci. Paris, vol. 354, n o 1, 2016, p. 1-6.
A. Connes and C. Consani, "Geometry of the scaling site," arXiv:1603.03191.