MAT 338. Differentiable manifolds and Lie groups - Autumn 2017 - Vamsi Pingali

The text we will (largely) be following is ``A comprehensive introduction to differential geometry (Vol 1)" by Spivak. We will try to cover as much of this book as possible. Here are some other references :
1. Kumaresan, S., A Course in Differential Geometry and Lie Groups
2. Warner, F., Foundations of Differentiable Manifolds and Lie Groups
3. John Lee, Introduction to smooth manifolds.
4. Milnor, Topology from a differentiable viewpoint.
5. T. Frankel, Geometry and physics.
6. Hawking and Ellis, The large scale structure of spacetime.
7. Loring Tu, An introduction to manifolds.

Instructor : Vamsi Pritham Pingali, vamsipingali@math.iisc.ernet.in.

Office : N23 in the mathematics building. Office hours : Wed from 3-4 pm. (Feel free to come during other times after emailing me first.)

Classroom and timings : Monday, Wednesday, Friday from 2-3 in LH-5.

The Grading policy : 20% for Homeworks, Midterm-30%, and 50% for the Final. Under NO circumstances will makeup exams be held for the midterm. If you have a valid and provable excuse, (Schedule conflicts with other courses do NOT constitute as valid excuses. You are supposed to resolve them before registering for the courses.) then your performance on the other exams shall determine your grade on your midterms.


Exams :

The Midterm shall be held on September 22 (Friday) from 2-3:30 in the class. (Syllabus : Everything we did up to (and including) Frobenius' theorem.)

The final for this course will be held on December 7 (Thursday) from 9:00-12:00 in our usual classroom. (Syllabus : Everything we did except Riemannian geometry.)

Ethics: Read the information on the IISc student ethics page. In short, cheating is a silly thing. Don't do it. As for homeworks, write them up on your own. You are allowed to discuss them amongst yourselves but please write the solutions on your own. That said I must hasten to add that you learn mathematics best when you solve the problems entirely by yourself.

Here is the tentative schedule. (It is subject to changes and hence visiting this webpage regularly is one of the best ideas in the history of best ideas.)