IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Higher category theory and homotopical algebra II Semester SoSe 2017 Lecturer Denis-Charles Cisinski Type of course (Veranstaltungsart) Vorlesung Contents This will be a sequel of the course given during WiSe 2016: "Higher category theory and homotopical algebra". At first, we will focus on presheaves and pointwise Kan extensions in the setting of infinity category theory. The main part of the lecture will be about construction of examples (how to produce and study infinity categories out of model categories of some sort (e.g. Quillen model structures, Brown's categories of fibrant objects, derived categories). Literature See these lecture notes (in which there is a bibliography). Recommended previous knowledge We will assune some familiarity with the topics seen during Winter Semester. In particular, it is recommended to know the basics on Quillen model category structures and on infinity category theory (the Joyal model structure, the contravariant and covariant model structures). Time/Date Mo 16-18 + Fr 15-17 Location M 103 Course homepage http://www.mathematik.uni-regensburg.de/cisinski/lehre.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 course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: Examination (Prüfungsleistungen) Oral exam: Duration: 30 minutes, Date: by appointment, re-exam: Date: 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, MGAGeo ECTS 9 LP

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