Universität Regensburg   IMPRESSUM   DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg

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Non-Archimedean Analytic geometry
Semester
SoSe 2021

Lecturer
Klaus Kuennemann

Type of course (Veranstaltungsart)
Vorlesung

Contents
We continue our introduction to non-archimedean analytic geometry. We present the approach by
Berkovich developed in his book 'Spectral theory and analytic geometry over non-archimedean fields'
and subsequent papers. We will study affinoid analytic spaces and introduce general non-archimedean
analytic spaces. If time permits we will discuss also non-archimedean analytifications of algebraic
varieties, tropicalizations and non-archimedean analytic curves. The course 'Perfectoid Spaces'
complements this course in a nice way.

Recommended previous knowledge
This course builds upon 'Non-Archimedean Analytic geometry I'. We will also require some knowledge
about Algebraic Geometry which will be recalled without proof in the course.

Time/Date
Monday, Thursday 10h15-12h00

Location
Zoom

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via EXA or LSF (see announcement by the department)
  • Registration for the exercise classes: In the first week of the summer term.
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: Each participant has to present at least two
    solutions, at least one from the exercise sheets 1-6 and at least one from the exercise sheets
    7-12. Furthermore written solutions to the exercises have to be submitted (at least 25%
    successful solutions from sheet 1-6 and at least 25% successful solutions from sheet 7-12).
Examination (Prüfungsleistungen)
  • Written exam: Duration: 120 min, Date: Monday, July 19th 2021, re-exam: Date: Wednesday
    September 8th 2021
  • Combined exam in agreement with the lecturer in combination with, e.g.: Non-Archimedean
    Analytic Geometry I, oral exam: Duration: 30 min, Date: by individual appointment
Modules
BV, MV, MArGeo

ECTS
9 ECTS