Speaker: YE Rugang，U
of CaliforniaSanta Barbara
Time：20160621 15:0016:40
Place：Room 1208, School of Mathematical Sciences
Time: 20160623
15:0016:40
Place: Room 1418,
School of Mathematical Sciences
Detail：In 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, shorttime existence of the
Ricci flow, 2dimensional Ricci flow, 3dimensional Ricci flow, blowup
singularities,the entropy functional, noncollapsing 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
