|
Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Algebraic Topology I SemesterWiSe 2026 / 27 Lecturer Clara Löh Type of course (Veranstaltungsart) Vorlesung German title Algebraische Topologie I Contents Algebraic topology studies topological spaces via algebraic invariants -- by modelling certain aspects of topological spaces in the realm of algebra, e.g., by groups and group homomorphisms. Classical examples include homotopy groups and (co)homology theories. Algebraic topology has various applications, both in theoretical and in applied mathematics, for instance, through fixed point theorems, (non-)embeddability results, topological data analysis, and many more. For example, Nash's proof of existence of certain equilibria in game theory is based on a topological argument. Topics covered in this course include:
Literature This course will not follow a single book. Therefore, you should individually compose your own favourite selection of books. A list of suitable books will be provided in the lecture notes. Recommended previous knowledge All participants should have a firm background in Analysis I/II (in particular, basic point set topology), in Linear Algebra I/II, and basic knowledge in group theory (as covered in the lectures on Algebra). Knowledge about manifolds as in Analysis IV is not necessary, but helpful. Knowledge about basic homological algebra (as in the last two weeks of Kommutative Algebra in SS 2026 is not necessary, but helpful. Time/Date Mo 10-:15-12:00, Thu 8:26--10:00 Location M 104 Course homepage https://loeh.app.uni-regensburg.de/teaching/topologie1_ws2627/ (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BV, MV, MGAGeo ECTS 9 |