IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Hinweis Bitte informieren Sie sich auf den jeweiligen GRIPS-Seiten über den digitalen Ablauf der Lehrveranstaltungen. Note For our digital courses all relevant information can be found on the appropriate GRIPS sites. 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

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