M. Mornev

collaborators

3 papers

math.NT2025

Weil representations associated to isocrystals over function fields

Maxim Mornev, Richard Pink

Every Anderson $A$ -motive $M$ over a field determines a compatible system of Galois representations on its Tate modules at almost all primes of $A$ . This adapts easily to $F$ -isocr…

math.NT2024

Local monodromy of Drinfeld modules

M. Mornev

Compared with algebraic varieties the local monodromy of Drinfeld modules appears to be hopelessly complex: The image of the wild inertia subgroup under Tate module representations…

math.NT2024

Local Kummer theory for Drinfeld modules

Maxim Mornev, Richard Pink

Let $I ¨ $ be a Drinfeld $A$ -module of finite residual characteristic $p ˉ$ over a local field $K$ . We study the action of the inertia group of $K$ on a modified adeli…