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. Perfectoid Spaces Semester SoSe 2021 Lecturer Walter Gubler Type of course (Veranstaltungsart) Vorlesung Contents The main goal of this course is to develop the basic theory of perfectoid spaces. We will focus mainly on perfectoid algebras, the affine part for adic spaces and the language of almost mathematics. Perfectoid spaces have been introduced by Peter Scholze as a tool to transport problems in arithmetic geometry from characteristic 0 to characteristic p where they are sometimes easier to solve thanks to the Frobenius morphism. These perfectoid methods already have several spectacular applications in different areas of mathematics, e.g. in commutative algebra, algebraic geometry, and p-adic Hodge theory. Recommended previous knowledge Algebra. Knowledge from Algebraic Number Theory is not required, but for those who attended, it would be a natural continuation. Time/Date Tuesday, Thursday 8--10 Location Zoom (provisionally) Registration Registration for the exercise classes: GRIPS Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: 50% of the exercise points. Examination (Prüfungsleistungen) Oral exam: Duration: 25 minutes, Date: TBA, re-exam: Date: TBA 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 Modules BV, MV, MArGeo ECTS 9