| Course Title: | Differentiable Manifolds |
|---|---|
| Course Number: | MATH 6510 - 1 |
| Instructor: | Andrejs Treibergs |
| Home Page: | http://www.math.utah.edu/~treiberg/M6510.html |
| Place & Time: | M, W, F, 10:45 - 11:35 in LCB 333 |
| Office Hours: | 11:45-12:45 M, W, F, in JTB 120 (tent.) |
| E-mail: | treiberg@math.utah.edu |
| Prerequisites: | Prerequisites: "C" or better in MATH 4510 AND MATH 5520 or consent of instructor. |
| Main Text: | Math 6510 Notes by Kevin Wortman |
| http://www.math.utah.edu/~wortman/6510.pdf | |
| Additional Texts: | List of supplementary materials used in the course. |
In this first semester of a year long graduate course in geometry / topology, we shall focus on differentiable manifolds. The second semester, Math 6520 taught by K. Bromberg, will emphasize homotopy and homology theory. In this course, along with the Math 6520, we shall try to cover the syllabus for the qualifying exam in geometry / topology. Although some mathematical sophistication is required to take the course, we shall provide any background materials needed by the class.
We shall follow Wortman's notes. We shall also use several other texts such as John M. Lee's "Introduction to Smooth Manifolds," Springer, New York 20013, ISBN 978-1-4419-9981-8. We shall discuss as many applications as we can. List of topics:
Last updated: 9 / 4 / 18