Title: Saturated de Rham-Witt complexes
Abstract: The de Rham-Witt complex, introduced by Illusie in 1979, is a complex that plays an analogous role in computing crystalline cohomology to that of the de Rham complex for algebraic de Rham cohomology. In 2018, Bhatt-Lurie-Mathew introduced a variant called the saturated de Rham-Witt complex, which refines and provides a new perspective on the classical de Rham-Witt complex. In this talk, we will discuss the approach of Bhatt-Lurie-Mathew, as well as some recent work to generalize it to nontrivial coefficient systems.
