Kato-Nakayama spaces, infinite root stacks, and the profinite homotopy type of log schemes

David Carchedi, Sarah Scherotzke, Nicolò Sibilla +1

For a log scheme locally of finite type over $\mathbb{C}$, a natural candidate for its profinite homotopy type is the profinite completion of its Kato-Nakayama space. Alternatively…