56:08
publiée le 25 avril 2024
Motives and (super-)representation theory: principles and case studies
De Yves André
Arithmetic $D$-modules and existence of crystalline companion
De Tomoyuki Abe
Apparaît dans la collection : $p$-adic analytic geometry and differential equations / Géométrie analytique et équations différentielles $p$-adiques
We will show that there exists a correspondence between smooth $l$-adic sheaves and overconvergent $F$-isocrystals over a curve preserving the Frobenius eigenvalues. Moreover, we show the existence of $l$-adic companions associated to overconvergent $F$-isocrystals for smooth varieties. Some part of the work is done jointly with Esnault.
