Abstracts for Minicourse on the étale and pro-étale exodromy theorems

Étale sheaves on the spectrum of a field can be understood as sets with a continuous action of the Galois group. A similar classification is available for locally constant sheaves on an arbitrary base scheme. In 2018, Barwick–Glasman–Haine proved a far reaching generalisation of this result, classifying constructible étale sheaves on a scheme as continuous representations of a profinite category they call the Galois category. This was then extended to pro-étale sheaves by Sebastian Wolf in 2022.