nLab Weinstein, the geometry of Lubin-Tate spaces

category: reference

This entry in a note concerning the text

• Jared Weinstein, the geometry of Lubi-Tate spaces, Lecture 1: Formal groups and formal modules, pdf

Table of contents

• Motivation: the local Kronecker-Weber theorem.

• Formal groups and formal $O_F$ -modules

• The invariant differential form, and the logarithm.

• Formal groups: Categorical definition.

• The de Rham complex, and the module $D(G /A)$.

• The crystalline nature of $H^1_{dR}$

• The action of Frobenius.

• The Dieudonné module.

• More on Dieudonné theory (but not quite enough).

• The Grothendieck-Messing crystal.