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	Fakultät für Mathematik	Universität Regensburg
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Introduction to Algebraic K-theory Semester WiSe 2026 / 27 Lecturer Denis-Charles Cisinski Type of course (Veranstaltungsart) Seminar German title Einführung in die algebraische K-Theorie Contents The goal of this seminar is to introduce basic concepts of algebraic K-theory. Algebraic K-theory is a general theory of finite measures generalizing the notions of rank of projective modules of finite type and of their determinant. It is at the core of the definition of many fundamental numerical invariants in algebraic geometry, with close relationship with Chow groups and thus with intersection theory, through the theory of Chern classes. The goal of the seminar is to establish on firm ground the basic definitions and prove their universal properties, starting from scratch. The first session of the seminar will be the opportunity to provide a detailed but broad overview. The exact contents of the seminar will be then be adapted to the interests of the audience. Literature C. Barwick, On the algebraic K-theory of higher categories Fabian Hebestreit, Andrea Lachmann, Wolfgang Steimle, The localisation theorem for the K-theory of stable ∞ -categories A.J. Blumberg, D. Gepner, and G. Tabuada, A universal characterization of higher algebraic -theory F. Waldhausen, Algebraic -theory of spaces, Algebraic and geometric topology Denis-Charles Cisinski, Bastiaan Cnossen, Kim Nguyen and Tashi Walde, Synthetic Category Theory R. W. Thomason & Thomas Trobaugh, Higher Algebraic K-Theory of Schemes and of Derived Categories Recommended previous knowledge homological algebra, algebraic topology Time/Date Thursday 14-16 Location M009 Course homepage https://cisinski.app.uni-regensburg.de/lehre.html (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration Registration for course work/examination/ECTS: FlexNow Course work (Studienleistungen) Presentation: Giving a seminar talk of roughly 90 minutes Examination (Prüfungsleistungen) Detailed written report of the seminar talk Modules BSem, MSem ECTS 4,5

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