Transchromatic twisted character maps

TL;DR

This paper refines transchromatic generalized character maps by incorporating torus actions on the inertia groupoid, linking the construction to the geometry of p-divisible groups.

Contribution

It introduces refined character maps considering torus actions and clarifies their connection to p-divisible group geometry.

Findings

Refined transchromatic character maps with torus actions

Established relationship between character maps and p-divisible groups

Enhanced understanding of inertia groupoid structures

Abstract

Refinements of the transchromatic generalized character maps are constructed by taking into account the torus action on the inertia groupoid (also known as the Fix functor). The relationship between this construction and the geometry of p-divisible groups is made precise.