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Asymptotic rigidity of noncompact shrinking gradient Ricci solitons

Geometric Flows in Riemannian and Complex Geometry May 02, 2016 - May 06, 2016

May 03, 2016 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Brett Kotschwar (Arizona State University)
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

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC



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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