References


Background on Ricci flow

[1] "The Ricci flow: an introduction" by B. Chow and D. Knopf, Mathematical Surveys and Monographs 110, American Mathematical Society, Providence, RI, 2004.

[2] "The formation of singularities in the Ricci flow", by R. Hamilton, Surveys in differential geometry, Vol. II (Cambridge, MA, 1993), Internat. Press, Cambridge, MA, p. 7-136 (1995)

References for Ben Chow's 15 lectures

Background on the Geometrization Conjecture

[3] "Recent progress on the Poincare conjecture and the classification of 3-manifolds" by J. Morgan, Bull. Amer. Math. Soc. 42, p. 57-78 (2005)

Background on Differential Geometry :

[4] "Riemannian geometry" by P. Petersen, Graduate Texts in Mathematics 171, Springer-Verlag, New York, 1998.

[5] "A course in metric geometry" by D. Burago, Y. Burago and S. Ivanov, Graduate Studies in Mathematics 33, American Mathematical Society, Providence, RI, 2001.

[6] "Comparison theorems in Riemannian geometry" by J. Cheeger and D. Ebin, North-Holland Mathematical Library, Vol. 9. North-Holland Publishing Co., 1975.

Perelman's Work on Ricci Flow

[7] "The entropy formula for the Ricci flow and its geometric applications", by G. Perelman

[8] "Ricci flow with surgery on three-manifolds", by G. Perelman

[9] "Notes on Perelman's papers", by B. Kleiner and J. Lott

Minimal Surfaces

[10] "Minimal submanifolds", by T. Colding and W. Minicozzi

[11] Estimates for the extinction time for the Ricci flow on certain 3-manifolds and a question of Perelman, Tobias H. Colding; William P. Minicozzi II Journal: J. Amer. Math. Soc. 18 (2005), 561-569.

[12] Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, Grisha Perelman, July 17, 2003, revised June 12, 2005

Program and course descriptions