**What's new?**

The schedule of presentations is posted.

**Course Details**

**Location and Time**

Lectures in MC 107:

Wednesdays 9:30-11:30 AM,

Thursdays 11.30 AM- 12:30 PM;

OWL Page: Login

**Textbook**

Cesar Camacho and Alcides Lins Neto, Geometric Theory of Foliations, Birkhauser, 1985. This book is on a 1-day reserve in the library .

Other relevant texts: TBA

**Instructors**

Lectures: Prof. Rasul Shafikov, shafikov@uwo.ca.

Office Hours: Tuesdays 2:30 - 4 PM in MC 112.

**Course Outline**

The course is dedicated to the study of foliations on manifolds. After covering some required background material, we will spend a significant amount of time studying important examples of foliations, topology of the leaves, holonomy and other properties of foliations. We will then discuss Haefliger’s theorem and Novikov’s theorem – fundamental results in classical foliation theory.

Course syllabus

**What is expected of the student?**

Students are expected to attend all lectures, complete the assignment, and give an in-class oral presentation at the end of the class.

**Course Evaluation**

The overall course grade will be calculated as follows:

- Homework Assignment = 31%
- Presentation = 69%

**Homework**

Homework assignment is due on November 11

Late submission will receive an automatic 10%
deduction. Papers written in TeX or LaTeX will receive 1 extra point.

**Presentation**

In-class presentations will take place at the end of the course, starting Dec 1. The topics should be selected in consultation with the instructor. Available topics:

- Holomorphic foliations --> Sinan (December 1)
- Suspension of diffeomorphisms (Camacho - Lins Neto, p. 41-42) --> Alejandro (Dec 1)
- Foliations defined by differential forms (Camacho - Lins Neto, p. 80-84) --> Jing Xuan (Dec 2)
- Denjoy's Example (Camacho - Lins Neto, p. 55-59) --> Rafael (Dec 8)
- Sacksteder's example (Camacho - Lins Neto, Chapter V, Sec 6) --> Artem (Dec 8)
- Foliations and Ricatti's equation (Camacho - Lins Neto, p. 106 - 108) --> Siyuan (Dec 15 10.30 - 11.30 AM in MC 107)
- Frobenius theorem --> Zeinab (Dec 15, 11.30 AM - 12.30 PM in MC 107)

**Policies**

For policies on prerequisites, student absences, academic offences, and other academic policies please see the
Course Outline.