Upcoming Talks

In Lurie's article on the Cobordism Hypothesis, he discusses a description of symmetric monoidal (∞,n)-categories with duals for objects and certain adjoints as "chain complexes" of symmetric monoidal ∞-categories with duals, but does not give a proof. I will discuss an approach to proving this based on a general description of closed symmetric monoidal V-enriched ∞-categories as lax symmetric monoidal functors to V. This is work in progress with Thomas Nikolaus.

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.

AG Preprint Seminar (Reading Seminar Group SAG of Prof. D. Huybrechts)