& Topology
School of Mathematics

Selected Publications

Graduate Course

Eaman Eftekhary, Meysam Nassiri & Reza Seyyedali
(School of Mathematics, IPM)

Topology of Smooth Manifolds

Date: Thursdays, Fall 2018 - Spring 2019

Time: 8:30-10:00 & 10:30-12:00

(First lecture: Thursday, September 27, 2018, 8:30 a.m.)

Location: Lecture Hall 2,
Niavaran Building, IPM
Sh. Bahonar (Niavaran) Square, Tehran

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.

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.

Problem Sets I
Problem Sets II

School of Mathematics,
IPM - Institute for Research in Fundamental Sciences
Niavaran Building, Niavaran Square, Tehran, Iran
Tel: +98 21 222 90 928