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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Introduction to Stable Homotopy Theory SemesterSoSe 2026 Lecturer Bastiaan Cnossen Type of course (Veranstaltungsart) Vorlesung German title Einführung in die Stabile Homotopietheorie Contents Stable homotopy theory is the study of spectra: homotopical versions of abelian groups. While traditionally seen as a subfield of algebraic topology, techniques from stable homotopy theory are becoming increasingly important in various neighboring fields. In the course, we will: 1) Introduce the formalism of oo-categories 2) Introduce stable oo-categories and the oo-category of spectra 3) Study homological algebra via derived oo-categories 4) Study examples of spectra, like topological K-theory, and techniques like localizations and completions. Literature Bastiaan Cnossen - Stable Homotopy Theory and Higher Algebra Recommended previous knowledge Category theory, algebraic topology (e.g. homotopy/homology/cohomology groups) Time/Date Mo 16-18, Wed 10-12, Exercises Th 14-16 Location Mo M102, Wed M102, Exercises: M009 Course homepage https://sites.google.com/view/bastiaan-cnossen/teaching/so26-introduction-to-stable-homotopy-theory (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MGAGeo ECTS 9 |