TL;DR
This paper explains the construction and geometric properties of eigenvarieties, including the Coleman--Mazur eigencurve, in various non-archimedean geometric contexts, serving as educational notes rather than original research.
Contribution
It provides a comprehensive overview of eigenvariety construction methods across different settings, emphasizing their geometric features.
Findings
Construction methods for eigenvarieties explained
Analysis of geometric properties of eigenvarieties
Illustration using the Coleman--Mazur eigencurve
Abstract
These are notes based on four lectures given at the Heidelberg spring school on non-archimedean geometry and eigenvarieties. None of the contents are original work. Our goal is to explain the construction of eigenvarieties in various different contexts, including the prototypical example of the Coleman--Mazur eigencurve. We will also discuss some of the common geometric properties of eigenvarieties.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric Analysis and Curvature Flows · Algebraic and Geometric Analysis · Mathematics and Applications