Seminars

Stability of compact shrinking Ricci solitons

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Huai-Dong Cao

2014-04-24
11:10:00 - 12:00:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Compact shrinking Ricci solitons are also natural extensions of Einstein metrics of positive scalar curvature and are critical points of Perelman's $\nu$-entropy. In this talk, I shall discuss the second variation of Perelman's shrinker entropy and stability of positive Einstein manifolds and compact shrinking Ricci solitons.