
Speaker: Alain Connes (College de France, IHES and Ohio State University)
Lecture 1 (May 7): $\mathrm{Spec} \mathbb{Z}$, its structure sheaf over the sphere spectrum and the Gromov norm
Lecture 2 (May 9): $H^1$ for Arakelov divisors on $\mathrm{Spec} \mathbb{Z}$ (compactified)
Lecture 3 (May 10): Iterating the wedge in representation rings (on an idea of Michael Atiyah)