Motivated by the desire to express in terms of de Rham data the
pro-étale cohomology with non-trivial $\mathbb{Q}_p$-coefficients
of rigid spaces $X$, defined over $\mathbb{Q}_p$ or $\mathbb{C}_p$,
I will explain how to define D-modules on the...
I will present two settings where $q$-De Rham and prismatic
vector bundles can be described in terms of modules over an
appropriate ring of $q$-twisted differential operators and also the
relation with former results.
I will present a new theory of motivic cohomology for general
(qcqs) schemes. It is related to non-connective algebraic K-theory
via an Atiyah-Hirzebruch spectral sequence. In particular, it is
non-$A^1$-invariant in general, but it recovers...
In this talk, I will first describe how classical Dieudonne
module of finite flat group schemes and $p$-divisible groups can be
recovered from crystalline cohomology of classifying stacks. Then,
I will explain how in mixed characteristics, using...
