Math 538, Spring 2009

Office: Mathematics 715

Office Phone: 621-2463

Email: glickenstein@math.arizona.edu

- All notes from the class.

- First batch: Introduction to the Poincaré conjecture (updated 1/20/2009)
- Second batch: Quick introduction to Riemannian geometry (updated 1/20/2009)
- Third batch: Introduction to flows on Riemannian manifolds (updated 2/5/2009)
- Fourth batch: Introduction to the maximum principle (updated 2/10/2009)
- Fifth batch: Singularities of Ricci flow, limits, and κ-noncollapse (updated 2/18/2009)
- Sixth batch: Perelman's entropy and κ-noncollapse (updated 3/5/2009)
- Batch 6.5: What is going on with the program (updated 3/12/2009)
- Batch 7: Reduced distance and volume (updated 4/14/2009)
- Batch 7.5: More on derivatives of
distance.

Additional references:

- Ricci flow and the Poincaré Conjecture, by J. Morgan and G. Tian. Preprint version is also available here.
- Completion of the Proof of the Geometrization Conjecture, by J. Morgan and G. Tian.
- A
Complete Proof of the Poincaré and Geometrization
Conjectures -
application of the Hamilton-Perelman theory of the Ricci flow,
by
H.-D. Cao and X.-P. Zhu. There are also errata
for
this paper.

- Notes on
Perelman's papers, by B. Kleiner and J. Lott.

- The Ricci flow: An Introduction, by B. Chow and D. Knopf.
- Hamilton's Ricci flow, by B. Chow, P. Lu, and L. Ni.
- The Ricci flow: Techniques and Applications, Parts I and II, by B. Chow et al.