EVENT DETAILS AND ABSTRACT

Title: Some structure results on the moduli stack of formal Lie groups
Speaker: Brian Smithling
Speaker Info: University of Chicago
Brief Description:
Special Note:
Abstract:

The moduli stack of formal Lie groups has come to occupy a central place of study in modern stable homotopy theory. I will discuss some aspects of the structure of this stack, chiefly relating to its height stratification relative to a fixed prime $p$. The main results are that the related stacks of $n$-buds (think truncated formal group laws) of height $\geq h$ are smooth and universally closed over $\mathbb{F}_p$ of dimension $-h$, and a description of the stratum of (exact) height $h$ formal Lie groups as an inverse limit of classifying stacks of certain \'etale algebraic groups.