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Non-Archimedean Analytic Geometry Semester WiSe 2025 / 26
Lecturer Klaus Künnemann
Type of course (Veranstaltungsart) Vorlesung
German title Non-Archimedean Analytic Geometry
Contents This course gives an 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. This course will assume familiarity with the material from the course on Non-Archimedean Banach Algebras that I have taught in the summer term 2025. Course notes of this course are available. If you want to attend this course and you have not attended my course on Non-Archimedean Banach Algebras, then it is recommended that you participate in the seminar on Non-Archimedean Banach Algebras that I organize in the winter term 2025/26 in parallel. Participants of this course will profit from some familiarity with algebraic geometry that can be obtained by attending the course on Algebraic Geometry by Marc Hoyois in parallel.
Time/Date Monday, Thursday 8h15-10h00
Location M104
Registration- Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)- Successful participation in the exercise classes:
Examination (Prüfungsleistungen)- Oral exam: Duration: 30 minutes, Date: by individual appointment, re-exam: Date: by individual
appointment Modules BV, MV, MArGeo
ECTS 9 LP
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