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Die folgenden Informationen sind noch nicht freigegeben und deshalb unverbindlich: Morse Theory SemesterWiSe 2026 / 27 Lecturer Shai Keidar Type of course (Veranstaltungsart) Seminar German title Morse-Theorie Contents In this seminar we develop the beautiful Morse theory, which studies a smooth manifold through the critical points of a smooth function on it. The remarkable starting point is that a single such function already controls the topology of the manifold: its critical points, and the way they fit together, are enough to recover the manifold. This is a topic in differential topology, but as we will see it connects algebra, geometry, and topology, and the same circle of ideas underlies much of modern geometry. We will build the theory from the ground up, from Morse functions and the local picture at their critical points to the way the manifold is reassembled from this data, culminating in the Morse complex, whose homology recovers that of the manifold. Literature Morse Theory / John Milnor Recommended previous knowledge Differential topology (smooth manifolds, tangent bundles, vector fields) and algebraic topology. Time/Date Wednesday 12:00-14:00 Location M101 Course homepage https://www.shaikeidar.com/teaching/morse-2026 (Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern) Registration
BSem, MV, MSem, BSem.2 ECTS 4,5 |