Description:

Title: Differential graded Cartier modules and De Rham-Witt complex

Abstract: I will talk about a new approach to De Rham-Witt complex in mixed characteristic motivated by some questions in algebraic K-theory, topological Hochshild homology and prismatic cohomology. The main ingredient are certain algebraic gadgets called “differential graded Cartier modules” which are inspired by topological Cartier modules of Antieau-Nikolaus. The theory of derived De Rham-Witt complex based on differential graded Cartier modules sheds a new light on classical computations and comparison theorems, as well as opens the door to some new developments.