MATH 600, Fall 2012

MWF 12pm-1pm, 4C8 DRL

A Note about the Textbook.

We will be using Introduction to Smooth Manifolds by John Lee. I have just been informed by the bookstore that the first edition is now ``Out of Print" (probably pending release of the second edition), but I believe both new and used copies should be available through Amazon or other means (and it might be a good idea to get a copy sooner rather than later!). Please contact me if you have any problem finding a copy.

Homework Assignments

Note: Lee has some exercises labeled like 1.4 (found within the body of the chapter) and some labeled like 1-4 (found at the end of the chapter).

Midterm Exam: in class, Wednesday, 24 October

Exam 2, due 18 December

my lecture notes

Seminar

The seminar meets 5.30-6.30pm on Wednesdays in 4N49.

Seminar speakers:

  • 19 September: Neel Patel, ``The Long Line"
  • 26 September: Robert Chang, ``The Grassmannians as Smooth Manifolds"
  • 3 October: Sea Moon Cho, ``Automorphisms of the Torus"
  • 17 October: Josh Rosenberg,``Lie Groups"
  • 24 October: Aria Anavi, ``The Inverse Function Theorem"
  • 26 October: Zachary Charles, ``Some Vector Bundle Constructions"   during the usual class time
  • 31 October: Xiaofei Jin, ``A Proof of Sard's Theorem"
  • 7 November: Kevin Shi, ``Morse Theory"
  • 15 November: Xin Wang, ``Symplectic Forms and Symplectic Manifolds"
  • 28 November: Jake Robins, ``Introduction to Sheaves"