English

Huber rings and valuation spectra

Number Theory 2024-04-19 v2 Algebraic Geometry

Abstract

These notes expand a four-hour lecture course given in Heidelberg in March 2023, as part of the "Spring School on non-Archimedean Geometry and Eigenvarieties". They are designed for graduate students and other learners. We introduce Huber rings and valuation theory alongside frequent examples. The notes are largely self-contained, though many details are given in exercises found following each lecture.

Keywords

Cite

@article{arxiv.2311.12348,
  title  = {Huber rings and valuation spectra},
  author = {John Bergdall},
  journal= {arXiv preprint arXiv:2311.12348},
  year   = {2024}
}

Comments

45 pages, including exercises. v2: Final version. Minor updates following peer review

R2 v1 2026-06-28T13:26:58.556Z