Urs Lang: Katalogdaten im Herbstsemester 2019

NameHerr Prof. Dr. Urs Lang
LehrgebietMathematik
Adresse
Professur für Mathematik
ETH Zürich, HG G 27.3
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telefon+41 44 632 60 11
E-Mailurs.lang@math.ethz.ch
URLhttp://www.math.ethz.ch/~lang
DepartementMathematik
BeziehungOrdentlicher Professor

NummerTitelECTSUmfangDozierende
401-3531-00LDifferential Geometry I Information
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 KP4V + 1UU. Lang
KurzbeschreibungIntroduction 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
SkriptPartial lecture notes are available from https://people.math.ethz.ch/~lang/
LiteraturDifferential 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
401-5530-00LGeometry Seminar Information 0 KP1KM. Einsiedler, P. Feller, U. Lang, A. Sisto, Uni-Dozierende
KurzbeschreibungResearch colloquium
Lernziel