Number Theory Seminar

q-de Rham cohomology and prisms


q-de Rham cohomology is a new cohomology theory developed by Peter Scholze. It is a deformation of de Rham cohomology, which has the surprising feature of interpolating between p-adic Hodge theory for different p. Large parts of the theory is still conjectural, I will discuss my work on settling one of these conjectures on semilinear operators on q-de Rham cohomology.