Spring 2015 MATH 277 001 LEC

Topics in Differential Geometry
001 LECMWF 2-3P 5 EVANSLOTT, J W54437
Units/CreditFinal Exam GroupEnrollment
4NONELimit:24 Enrolled:7 Waitlist:0 Avail Seats:17 [on 03/22/15]
Additional Information: 

Prerequisites: Math 240 or equivalent.

Syllabus: The Ricci flow, devised by Richard Hamilton, is a way to evolve a Riemannian metric. It was used by Grisha Perelman to prove the Poincare Conjecture and the Geometrization Conjecture. This course will be an introduction to Ricci flow. Among other things, we will prove Hamilton's theorem that a compact 3-manifold with positive Ricci curvature is diffeomorphic to a spherical space form. We will also discuss some of the monotonic quantities for Ricci flow that were introduced by Perelman. A text for the course is Peter Topping's "Lectures on Ricci Flow". This book can be downloaded at http://www.warwick.ac.uk/~maseq/RFnotes.html but is worth buying.

Office: 897 Evans

Office Hours: WF3-4

Required Text: None

Recommended Reading: Lectures on the Ricci Flow by Peter Topping, Cambridge University Press

Grading: The grade will be based on homework.

Homework: There will be occasional homework assignments

Course Webpage: http://math.berkeley.edu/~lott/teaching.html