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Non-Archimedean Analytic Geometry I Semester
WiSe 2020 / 21
Lecturer
Klaus Kuennemann
Type of course (Veranstaltungsart)
Vorlesung
Contents
This course serves as a first 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 introduce the spectrum of a commutative
Banach ring, investigate the structure of affinoid algebras and affinoid spaces, discuss reduction,
boundary and interior of these spaces, and introduce general analytic spaces. It is intended to have
a course 'Non-Archimedean Analytic Geometry II' in the coming summer term.
Recommended previous knowledge
Algebra and Commutative Algebra
Time/Date
Monday, Thursday 10h15 - 12h00
Location
M104 or 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: You can register via GRIPS for the exercise classes
in
the first week of the teaching period. - Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes: Active participation and the presentation of
solutions to exercises: 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)- Oral exam: Duration: 30 min, Date: by individual appointment, re-exam: Date: by individual
appointment - Combined exam in agreement with the lecturer in combination with, e.g.: Non-Archimedean
Analytic Geometry II, oral exam: Duration: 30 min, Date: by individual appointment
Regelungen bei Studienbeginn vor WS 2015 / 16- Benotet:
- O. g. Studienleistung und o. g. Prüfungsleistung; die Note ergibt sich aus der Prüfungsleistung
- Unbenotet:
- O. g. Studienleistung und Bestehen der o. g. Prüfungsleistung
Modules
BV, MV, MArGeo
ECTS
9 ECTS
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