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Chromatic Homotopy Theory SemesterSoSe 2025 Lecturer Sil Linskens Type of course (Veranstaltungsart) Vorlesung German title Chromatische Homotopietheorie Contents An introduction to chromatic homotopy theory, a major organising principle in stable homotopy theory. We will cover Thom spectra, complex cobordism, Quillen's theorem, the Landweber exact functor theorem, the Conner-Floyd isomorphism, the height filtration on the category of spectra Literature Doug Ravenel, Complex Cobordism and Stable Homotopy Groups of Spheres Mike Hopkins, Lecture notes available at: https://people.math.rochester.edu/faculty/doug/otherpapers/coctalos.pdf Jacob Lurie, Lecture notes available at: https://people.math.harvard.edu/~lurie/252x.html Piotr Pstragowski, Lecture notes available at: https://www.kurims.kyoto-u.ac.jp/~piotr/252y_notes.pdf Recommended previous knowledge The basics of higher category theory and stable homotopy theory, as covered for example in the WiSe24/25 course "Introduction to Stable Homotopy Theory". Time/Date Mo 12-14, Exercises: Th 16-18 Location Mo M102 Th M009 Course homepage https://sites.google.com/view/sil-linskens/teaching/chromatic-homotopy-theory (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
MV, MGAGeo ECTS 4,5 |