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Geometry/Topology Seminar

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Tuesday, November 04, 2014
2:00 pm - 3:00 pm
Hans Joachim Hein (Univ. of Nantes)
Geometry/topology Seminar

"Uniqueness theorems for open Calabi-Yau manifolds"Many known examples of complete noncompact Ricci-flat manifolds are asymptotic to cones at infinity. This raises a natural boundary value problem: to find all complete Ricci-flat manifolds asymptotic to some given Ricci-flat cone. Very little is known about this question in general. I will discuss a way of answering it in the Kähler setting, which in particular leads to uniqueness theorems for some well-known Calabi-Yau spaces in terms of their asymptotic cones. Joint work with Ronan Conlon.

Contact: Monique Brown