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Differential Geometry: "Linear stability of gradient shrinking Ricci solitons"

Dr. Chenxu He, UC Riverside

Friday, October 13, 2017
  11:10 a.m.–Noon


Location: Surge Building 268
  Parking Information

Category: Seminar

Description:

Shrinking Ricci solitons are self-similar solutions to Hamilton's Ricci flow and natural extensions of Einstein metrics of positive scalar curvature. They are also critical points of a certain functional defined by Perelman. In this talk I will discuss geometry of Ricci solitons, in particular the second variation of Perelman's shrinker entropy and stability question. I will present a joint work with Huai-Dong Cao that gives the full classification of the linear stability of Perelman's entropy on symmetric spaces of compact type.



Additional Information: Math Seminars

Open to: General Public
Admission: Free
Sponsor: Mathematics

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