Abstract: Modeled on the book project https://arxiv.org/abs/math/0409584 of Gabber and Ramero, we propose a category of topological sheaves on a not-necessarily noetherian formal scheme which is Quillen-exact, closed symmetric monoidal, and admits cokernels and images. Unless the scheme is affine, the category does not admit kernels. We show that the corresponding (topological) cohomology may be calculated by Cech methods.
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi seminar room, for those wishing to attend in person.