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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Simplicial homotopy theory SemesterWiSe 2026 / 27 Lecturer Christoph Winges Type of course (Veranstaltungsart) Vorlesung German title Simpliziale Homotopietheorie Contents This lecture course will develop a combinatorial approach to describing weak homotopy types through the theory of Kan complexes. After setting up the basic theory and comparing it to the homotopy theory of topological spaces, we will apply this machinery to some classical problems in algebraic topology. A possible topic to be covered in the later parts of the course is the Curtis spectral sequence, which is a calculational tool to approach the stable homotopy groups of a simply-connected homotopy type. Literature Goerss, Jardine. Simplicial homotopy theory. Curtis. Some relations between homotopy and homology, Ann. Math. (2) 82, 386-413 (1965). Recommended previous knowledge Minimal: Some basic algebra, and we will use a modicum of category-theoretic language. For the later parts of the lecture course, some prior exposure to algebraic topology can be helpful, but should not be strictly necessary. Time/Date Wednesday 14-16; Friday 10-12; Exercise class: Monday 16-18 Location M 102 (Wed), M103 (Fr); Exercise class: M 009 Course homepage https://elearning.uni-regensburg.de/course/view.php?id=76293 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BV, MV, MGAGeo ECTS 9 |