Description:

This is a oneyear program, aimed at introducing
topics in low dimensional topology and dynamical
systems to graduate students and
advanced undergraduates. The topics considered
for this program include:
1 Smooth manifolds, Functions on
manifolds, Sard theorem
2 Intersection theory and Thom theorem
3 Vector fields, Lefschetz fixedpoint
theorem
4 Differential forms, cohomology
5 Fundamental group, covering spaces and
lifting lemmas
6 Homology groups
7 Morse theory
8 Theory of Foliation
9 Topics in complex geometry, topology and dynamics.
References:
Guillemin and Pollack, Differential Topology.
Madsen and Tornehave, From Calculus to Cohomology.
Hatcher, Algebraic Topology.
Milnor, Lectures on hcobordism theorem.
Camacho and Lins Neto, Geometric theory foliations.
امکان ثبت نام
رسمی درس به عنوان دانشجوی مهمان در
پژوهشکده ریاضیاتِ پژوهشگاه دانشهای بنیادی
وجود دارد.


