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Non-Archimedean Analytic Geometry I Semester
WiSe 2017 / 18
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'. 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. The course 'Algebraic Geometry I' complements
this course in a nice way. However this course can also be attended independently. It is intended to
have a course 'Non-Archimedean Analytic Geometry II' in the coming summer term.
Time/Date
Mon, Thu 8h15 - 10h00
Course homepage
http://www.uni-regensburg.de/mathematics/mathematics-kuennemann/teaching/index.html
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)
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 at the blackboard: 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% from
sheet 1-6 and at least 25% from sheet 7-12).
Examination (Prüfungsleistungen)- Oral exam: Duration: 30 minutes, 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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