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Introduction to Einstein Manifolds and the Ricci Flow
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Speaker: YE RugangU of California-Santa Barbara 

Time2016-06-21  15:00-16:40

PlaceRoom 1208, School of Mathematical Sciences 

Time: 2016-06-23 15:00-16:40

Place: Room 1418, School of Mathematical Sciences 

 

DetailIn this course we'll present basic materials on Einstein manifolds and Ricci flow, including part of Hamilton's theory of the Ricci flow and part of Perelman's theory of the Ricci flow, such as the variational theory of Einstein metrics, obstruction to existence of Einstein metrics, short-time existence of the Ricci flow, 2-dimensional Ricci flow, 3-dimensional Ricci flow,  blow-up singularities,the entropy functional, non-collapsing of the Ricci flow,  the maximum principles and the Harnack inequalities. 

 

The theory of Einstein manifolds and the theory of the Ricci flow have had major advances in recent years, including Perelman's solution of the Poincare conjecture using the Ricci flow.  This course is meant to provide foundational knowledge and skills for understanding more advanced work in these fields.

 

 

Organizer: School of Mathematical Sciences

 

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