Asymptotic rigidity of noncompact shrinking gradient Ricci solitons
Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016
Location: MSRI: Simons Auditorium
complex geometry
Riemannian geometry
geometric analysis
geometric flow
Ricci flow
soliton solutions
asymptotic behavior of solutions
positive curvature
classification of solutions
53C56 - Other complex differential geometry [See also 32Cxx]
53C44 - Geometric evolution equations (mean curvature flow, Ricci flow, etc.)
53C43 - Differential geometric aspects of harmonic maps [See also 58E20]
37C15 - Topological and differentiable equivalence, conjugacy, invariants, moduli, classification
37C10 - Vector fields, flows, ordinary differential equations
14499
Shrinking gradient Ricci solitons are models for the local geometry about a developing singularity under the
Ricci flow. At present, all known examples of complete noncompact shrinkers are either locally reducible as products
or possess conical structures at infinity. I will survey some recent results related to the problem of their classification
including some joint work with Lu Wang in which we study the uniqueness of such asymptotic structures as a problem of parabolic unique continuation
14499
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