Paul Biran: Catalogue data in Autumn Semester 2020 |
| 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 | |
|---|---|---|---|---|---|
| 401-3001-61L | Algebraic Topology I  | 8 credits | 4G | P. Biran | |
| Abstract | This is an introductory course in algebraic topology, which is the study of algebraic invariants of topological spaces. Topics covered include: singular homology, cell complexes and cellular homology, the Eilenberg-Steenrod axioms. | ||||
| Learning objective | |||||
| Literature | 1) G. Bredon, "Topology and geometry", Graduate Texts in Mathematics, 139. Springer-Verlag, 1997. 2) 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 3) E. Spanier, "Algebraic topology", Springer-Verlag | ||||
| Prerequisites / Notice | You should know the basics of point-set topology. Useful to have (though not absolutely necessary) basic knowledge of the fundamental group and covering spaces (at the level covered in the course "topology"). Some knowledge of differential geometry and differential topology is useful but not strictly necessary. Some (elementary) group theory and algebra will also be needed. | ||||
| 401-5580-00L | Symplectic Geometry Seminar | 0 credits | 2K | P. Biran, A. Cannas da Silva | |
| Abstract | Research colloquium | ||||
| Learning objective | |||||