IMPRESSUM    DATENSCHUTZ
	Fakultät für Mathematik	Universität Regensburg
Infinity-Categories Semester SoSe 2019 Lecturer Markus Land Type of course (Veranstaltungsart) Vorlesung Contents The aim of the coarse is to explain basic categorical properties of infinity categories. Contents that should be discussed are the Yoneda embedding, the straightening functor (and to some extend its inverse), colimits and limits, adjunctions, presentable categories and localizations. If time permits, we might discuss stable infinity-categories such as the derived category of a ring and spectra. Recommended previous knowledge Familiarity with simplicial sets and ordinary categories is helpful. The knowledge of the previous coarse (Introduction to higher categories) can be helpful but is not strictly needed. As usual, I will adjust the contents of the coarse to the wishes of the audience. Time/Date Monday, 8-10, Thursday, 14-16 Location M103 Course homepage http://www.markus-land.de (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Successful participation in the exercise classes: presentation of at least 3 exercises in the exercise session Examination (Prüfungsleistungen) Oral exam: Duration: 30 minutes, Date: , re-exam: Date: Additional comments There will be a weekly exercise session, Wednesday 16-18. Modules BV, MV, MArGeo, MGAGeo ECTS 9

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