TL;DR
This paper surveys the concepts of descent and nilpotence, highlighting examples from chromatic homotopy theory, group actions, and algebra to illustrate their applications and significance.
Contribution
It provides a comprehensive overview of descent and nilpotence with specific examples from various mathematical contexts.
Findings
Illustrates descent and nilpotence in chromatic homotopy theory
Provides examples involving group actions and algebra
Highlights the interplay between these concepts in different areas
Abstract
We give a survey of the ideas of descent and nilpotence. We focus on examples arising from chromatic homotopy theory and from group actions, as well as a few examples in algebra.
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