A Dictionary between Fontaine-Theory and its Analogue in Equal Characteristic

Abstract

In this survey we explain the main ingredients and results of the analogue of Fontaine-Theory in equal positive characteristic which was recently developed by Genestier-Lafforgue and the author.

23 pages

References in corpus (5)

• Repr{é}sentations p-adiques et {é}quations diff{é}rentielles
• The Newton stratification on deformations of local G-shtukas
• Slope filtrations revisited
• On period spaces for p-divisible groups
• Uniformizing the Stacks of Abelian Sheaves

Cited by in corpus (14)

• The Newton stratification on deformations of local G-shtukas
• A rapid introduction to Drinfeld modules, $t$-modules, and $t$-motives
• Local P-shtukas and their relation to global G-shtukas
• On period spaces for p-divisible groups
• Foliations in deformation spaces of local G-shtukas
• Local Shtukas and Divisible Local Anderson Modules
• On a Conjecture of Rapoport and Zink
• Local Shtukas, Hodge-Pink Structures and Galois Representations
• Periods of Drinfeld modules and local shtukas with complex multiplication
• The generic fiber of moduli spaces of bounded local $G$-shtukas
• Arithmetic Satake compactifications and algebraic Drinfeld modular forms
• Reciprocity laws à la Iwasawa-Wiles
• Product Formulas for Periods of CM Abelian Varieties and the Function Field Analog
• Category and Cohomology of Hodge-Iwasawa Modules