Equivariant formal group laws and complex-oriented spectra over primary cyclic groups: Elliptic curves, Barsotti-Tate groups, and other examples

TL;DR

This paper constructs and examines examples of equivariant formal group laws and complex-oriented spectra over cyclic groups, focusing on elliptic curves, p-divisible groups, and related structures, advancing understanding in equivariant homotopy theory.

Contribution

It provides explicit constructions and analyses of equivariant formal group laws and spectra associated with elliptic curves and p-divisible groups over cyclic groups, expanding the catalog of known examples.

Findings

Explicit examples of equivariant formal group laws from elliptic curves.

Construction of complex-oriented spectra related to p-divisible groups.

Enhanced understanding of equivariant structures over cyclic groups.

Abstract

We explicitly construct and investigate a number of examples of $\mathbb{Z}/p^r$-equivariant formal group laws and complex-oriented spectra, including those coming from elliptic curves and $p$-divisible groups, as well as some other related examples.