Asymptotic rigidity of noncompact shrinking gradient Ricci solitons
Location: MSRI: Simons Auditorium
asymptotic behavior of solutions
classification of solutions
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
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