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. Introduction to stable homotopy theory Semester WiSe 2020 / 21 Lecturer Denis Nardin Type of course (Veranstaltungsart) Vorlesung Contents This class will cover the construction and the basic properties of the category of spectra, an important mathematical tool with applications to homotopy theory, geometric topology, number theory and algebraic geometry. Planned topics include: * Construction of the category of spectra * The recognition principle, following Segal * Monoidal structures and duality * Localization and completion Literature * Adams, John Frank. Stable homotopy and generalised homology. University of Chicago press, 1974. * Segal, Graeme. "Categories and cohomology theories." Topology 13.3 (1974): 293-312. * Schwede, Stefan. "Symmetric spectra." preparation, online version accessible at http://www.math.uni-bonn.de/people/schwede/SymSpec-v3.pdf. (2012). Recommended previous knowledge Basics of algebraic topology, at the level of the Algebraic Topology II course Time/Date Monday 10-12, Thursday 10-12 Location Digital on 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 course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: 50% Punkte Passing the examination below Examination (Prüfungsleistungen) Oral exam: Duration: 30 minutes, Date: , re-exam: Date: Modules BV, MV, MArGeo, MGAGeo ECTS 9

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