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Introduction to stable homotopy theory SemesterWiSe 2022 / 23 Lecturer Denis Nardin Type of course (Veranstaltungsart) Vorlesung German title Einführung in Stabil Homotopietheorie Contents This class will cover the construction and the basic properties of the category of spectra, an important mathematical tool with applications to homotopy theory, geometric topology, number theory and algebraic geometry. Planned topics include: Construction of the category of spectra The recognition principle, following Segal Thom spectra and manifolds Literature Adams, John Frank. Stable homotopy and generalised homology. University of Chicago press, 1974. Segal, Graeme. "Categories and cohomology theories" Topology 13.3 (1974): 293-312. Schwede, Stefan. Symmetric spectra, in preparation, online version accessible at the author's webpage. (2012). Lurie, Jacob. Higher Algebra, available at the author's webpage (September 2017). Recommended previous knowledge Algebraic Topology II Time/Date Di 10-12 Registration
BV, MArGeo, MGAGeo ECTS 3 ECTS |