Paul Biran: Catalogue data in Spring Semester 2016

Name Prof. Dr. Paul Biran
FieldMathematics
Address
Professur für Mathematik
ETH Zürich, HG G 63.1
Rämistrasse 101
8092 Zürich
SWITZERLAND
Telephone+41 44 632 64 50
E-mailpaul.biran@math.ethz.ch
URLhttp://www.math.ethz.ch/~biranp
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-3002-12LAlgebraic Topology II8 credits4GP. Biran
AbstractThis 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.
Objective
Literature1) 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 / NoticeGeneral 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 credits2KD. A. Salamon, P. Biran, A. Cannas da Silva
AbstractResearch colloquium
Objective