skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.


Title: Huber rings and valuation spectra
These notes expand on 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.  more » « less
Award ID(s):
2302284
PAR ID:
10594537
Author(s) / Creator(s):
Editor(s):
Hellmann, Eugen; Ludwig, Judith; Venjakob, Otmar; Ramdorai, Sujatha
Publisher / Repository:
EMS Press
Date Published:
ISBN:
978-3-98547-081-5
Page Range / eLocation ID:
1 to 53
Subject(s) / Keyword(s):
Huber rings, valuation theory, adic spaces.
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
More Like this
  1. These are lecture notes on Random Matrices for the graduate topics course at University of Virginia, Spring 2025. Available at https://lpetrov.cc/rmt25/S25-rmt-lecture-notes.pdf 
    more » « less
  2. Deligkas, A; Filos-Ratsikas, A (Ed.)
    (2023). . In: (eds) . SAGT 2023. Lecture Notes in Computer Science, vol 14238. Springer, Cham. 
    more » « less
  3. null (Ed.)
    Lecture notes used in a graduate-level Introduction to Solid State Physics course at Cornell University, to serve as a supplement to textbooks at the level of Ashcroft & Mermin. 
    more » « less
  4. o fill a gap in online educational tools, we are working to support search in lecture videos using formulas from lecture notes and vice versa. We use an existing system to convert single-shot lecture videos to keyframe images that capture whiteboard contents along with the times they appear. We train classifiers for handwritten symbols using the CROHME dataset, and for LATEX symbols using generated images. Symbols detected in video keyframes and LATEX formula images are indexed using Line-of-Sight graphs. For search, we lookup pairs of symbols that can 'see' each other, and connected pairs are merged to identify the largest match within each indexed image. We rank matches using symbol class probabilities and angles between symbol pairs. We demonstrate how our method effectively locates formulas between typeset and handwritten images using a set of linear algebra lectures. By combining our search engine Tangent-V) with temporal keyframe metadata, we are able to navigate to where a query formula in LATEX is first handwritten in a lecture video. Our system is available as open-source. For other domains, only the OCR modules require updating. 
    more » « less
  5. Krishnan A.S., Yang Y., Schaumont P. (2020) Risk and Architecture Factors in Digital Exposure Notification. In: Orailoglu A., Jung M., Reichenbach M. (eds) Embedded Computer Systems: Architectures, Modeling, and Simulation. SAMOS 2020. Lecture Notes in Computer Science, vol 12471. Springer, Cham. https://doi.org/10.1007/978-3-030-60939-9_21 
    more » « less