Urs Lang: Katalogdaten im Herbstsemester 2019 |
Name | Herr Prof. Dr. Urs Lang |
Lehrgebiet | Mathematik |
Adresse | Professur für Mathematik ETH Zürich, HG G 27.3 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telefon | +41 44 632 60 11 |
urs.lang@math.ethz.ch | |
URL | http://www.math.ethz.ch/~lang |
Departement | Mathematik |
Beziehung | Ordentlicher Professor |
Nummer | Titel | ECTS | Umfang | Dozierende | |
---|---|---|---|---|---|
401-3531-00L | Differential Geometry I Höchstens eines der drei Bachelor-Kernfächer 401-3461-00L Funktionalanalysis I / Functional Analysis I 401-3531-00L Differentialgeometrie I / Differential Geometry I 401-3601-00L Wahrscheinlichkeitstheorie / Probability Theory ist im Master-Studiengang Mathematik anrechenbar. | 10 KP | 4V + 1U | U. Lang | |
Kurzbeschreibung | Introduction to differential geometry and differential topology. Contents: Curves, (hyper-)surfaces in R^n, geodesics, curvature, Theorema Egregium, Theorem of Gauss-Bonnet. Hyperbolic space. Differentiable manifolds, immersions and embeddings, Sard's Theorem, mapping degree and intersection number, vector bundles, vector fields and flows, differential forms, Stokes' Theorem. | ||||
Lernziel | |||||
Skript | Partial lecture notes are available from https://people.math.ethz.ch/~lang/ | ||||
Literatur | Differential geometry in R^n: - Manfredo P. do Carmo: Differential Geometry of Curves and Surfaces - Wolfgang Kühnel: Differentialgeometrie. Kurven-Flächen-Mannigfaltigkeiten - Christian Bär: Elementare Differentialgeometrie Differential topology: - Dennis Barden & Charles Thomas: An Introduction to Differential Manifolds - Victor Guillemin & Alan Pollack: Differential Topology - Morris W. Hirsch: Differential Topology | ||||
401-5530-00L | Geometry Seminar | 0 KP | 1K | M. Einsiedler, P. Feller, U. Lang, A. Sisto, Uni-Dozierende | |
Kurzbeschreibung | Research colloquium | ||||
Lernziel |