Paul Biran: Catalogue data in Spring Semester 2016 |
| Name | Prof. Dr. Paul Biran |
| Field | Mathematics |
| Address | Professur für Mathematik ETH Zürich, HG G 63.1 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telephone | +41 44 632 64 50 |
| paul.biran@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~biranp |
| Department | Mathematics |
| Relationship | Full Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-3002-12L | Algebraic Topology II | 8 credits | 4G | P. Biran | |
| Abstract | This 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. | ||||
| Learning objective | |||||
| Literature | 1) 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. | ||||
| Prerequisites / Notice | General 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. | ||||
| 401-5580-00L | Symplectic Geometry Seminar  | 0 credits | 2K | D. A. Salamon, P. Biran, A. Cannas da Silva | |
| Abstract | Research colloquium | ||||
| Learning objective | |||||