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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Algebraic Topology II SemesterSoSe 2026 Lecturer Ulrich Bunke Type of course (Veranstaltungsart) Vorlesung German title Algebraische Topologie II Contents This lecture course continues the Algebraic Topology I from WS2025/26. We will introduce cohomological functors and additional algebraic structures one them like multiplications. After the construction of examples we turn to computational methods. We discuss universal coefficients and Kuenneth formulas and spectral sequences. These methods will be applied to calculate the cohomology of total spaces of fibre bundles in terms of the cohomology of the base and the fibre. We finally consider the theory of characteristic classes, and in particular, Chern classes of complex vector bundles. Literature will be given during the course, but the the classical books by Spanier, Milnor-Stasheff or Hatcher are a good start to read. Recommended previous knowledge - topological spaces - homological functors - CW-comples - singular chain complex Time/Date Mo, Do 10-12, Location M104 Additional question session Time/Date: Exercise class Fr 12-14 Location: M103 Registration
BV, MV, MArGeo, MGAGeo ECTS 9 |