Asymptotically conical Calabi-Yau metrics with singularities

Abstract: Asymptotically conical Calabi-Yau manifolds are a special class of complete Ricci-flat Kähler manifold that are asymptotic to a cone at infinity. Their importance lies in the fact that they often appear as blow-up models for degenerations of non-collapsed Kahler-Einstein metrics near a singular limit. The first general construction of asymptotically conical Calabi-Yau manifolds using analytic techniques goes back to the work of Tian-Yau in the 90s, and the analytic theory was subsequently refined and is now very well developed. In this talk, I will first review the theory of asymptotically conical Calabi-Yau metrics, then I will discuss some work on the study of degenerations of asymptotically conical Calabi-Yau metrics and applications to constructing asymptotically conical Calabi-Yau metrics with singularities. This is joint work with Tristan Collins and Bin Guo.

algebraic topologydifferential geometrygeometric topologymetric geometry

Audience: researchers in the topic

Comments: The talk will be on Zoom at utoronto.zoom.us/j/81789338490 Passcode: 257573

University of Toronto Geometry & Topology seminar