Paul Biran: Catalogue data in Spring Semester 2021

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 II Information 8 credits4GP. Biran
AbstractThis is a continuation course to Algebraic Topology I. The course will cover more advanced topics in algebraic topology including:
cohomology of spaces, operations in homology and cohomology, duality.
Objective
Literature1) G. Bredon, "Topology and geometry",
Graduate Texts in Mathematics, 139. Springer-Verlag, 1997.

2) A. Hatcher, "Algebraic topology",
Cambridge University Press, Cambridge, 2002.

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


3) E. Spanier, "Algebraic topology", Springer-Verlag
Prerequisites / NoticeGeneral topology, linear algebra, singular homology 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 creditsP. Biran, A. Cannas da Silva
AbstractResearch colloquium
Objective