Paul Biran: Katalogdaten im Frühjahrssemester 2012

NameHerr Prof. Dr. Paul Biran
LehrgebietMathematik
Adresse
Professur für Mathematik
ETH Zürich, HG G 63.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telefon+41 44 632 64 50
E-Mailpaul.biran@math.ethz.ch
URLhttp://www.math.ethz.ch/~biranp
DepartementMathematik
BeziehungOrdentlicher Professor

NummerTitelECTSUmfangDozierende
401-3002-12LAlgebraic Topology II8 KP4GP. Biran
KurzbeschreibungThis is a continuation course to Algebraic Topology I. The course will cover more advanced topics in algebraic topology such as: products, duality, cohomology operations, characteristic classes, spectral sequences etc.
Lernziel
Literatur1) A. Hatcher, "Algebraic topology",
Cambridge University Press, Cambridge, 2002.

Book can be downloaded for free at:
http://www.math.cornell.edu/~hatcher/AT/ATpage.html

See also:
http://www.math.cornell.edu/~hatcher/#anchor1772800

2) E. Spanier, "Algebraic topology", Springer-Verlag

3) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.

4) R. Bott & L. Tu, "Differential forms in algebraic topology",
Graduate Texts in Mathematics, 82. Springer-Verlag, 1982.

5) J. Milnor & J. Stasheff, "Characteristic classes",
Annals of Mathematics Studies, No. 76.
Princeton University Press, 1974.
Voraussetzungen / BesonderesGeneral topology, linear algebra.
Basic knowledge of singular homolgoy and cohomology of topological spaces (e.g. as taught in "Algebraic topology I").

Some knowledge of differential geometry and differential topology is useful but not absolutely necessary.
401-5580-00LSymplectic Geometry Seminar Information 0 KP2KD. A. Salamon, P. Biran, A. Cannas da Silva
KurzbeschreibungForschungskolloquium
Lernziel
406-2303-AALComplex Analysis Belegung eingeschränkt - Details anzeigen
Die Lerneinheit kann nur von MSc Studierenden mit Zulassungsauflagen belegt werden.
6 KP13RP. Biran
KurzbeschreibungComplex functions of one variable, Cauchy-Riemann equations, Cauchy theorem and integral formula, singularities, residue theorem, index of closed curves, analytic continuation, conformal mappings, Riemann mapping theorem.
Lernziel
LiteraturL. Ahlfors: "Complex analysis. An introduction to the theory of analytic functions of one complex variable." International Series in Pure and Applied Mathematics. McGraw-Hill Book Co.

B. Palka: "An introduction to complex function theory."
Undergraduate Texts in Mathematics. Springer-Verlag, 1991.

R.Remmert: Theory of Complex Functions.. Springer Verlag

E.Hille: Analytic Function Theory. AMS Chelsea Publication