Misc. seminar - math

Introduce the notion of hypersheaf and discuss its basic properties and equivalent characterizations. In particular, discuss the notions of homotopy and cohomological dimensions and their relation to hyperdescent. Sketch the proof of the fact for...

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...

To Be Announced.

Prove the Grothendieck–Riemann–Roch theorem: first prove [And23, Satz 6.12] and then explain the sketch of the proof on [And23, p. 38] by proving the relevant statements from the second half of [CS22, Lecture 15].

To Be Announced.

To Be Announced.