Description:
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This is a one-year 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 fixed-point
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. (errata)
Madsen and Tornehave, From Calculus to Cohomology.
Hatcher, Algebraic Topology.
Milnor, Lectures on h-cobordism 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.
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