Condensed Learning Seminar

Explain the formulation of the Grothendieck–Riemann–Roch theorem for analytic adic spaces: go through [And23, pp. 32-38] and define all relevant objects and maps. Before explaining the construction of the Chern class map, define the sheaf KU∧p on analytic adic spaces and identify it with LK(1)K(−) as in [And23, Satz 5.15] (see also the preceding discussion therein and [BCM20, Section 3]); in particular, state the Efimov continuity theorem. Finish by constructing the Chern class map using [And23, Satz 6.12] (do not prove it!).