Talk page
Title:
Collapsing geometry of 4 dimensional hyperkahler manifolds, Part 2
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Abstract:
This is a continuation of the talk by Ruobing Zhang at the Simons Foundation annual meeting in the previous week. Our work is about understanding the structure of lower dimensional Gromov-Hausdorff limits of 4 dimensional hyperkahler manifolds, with applications to the moduli compactification of K3 metrics and classification of gravitational instantons. We will explain some technical aspects of our work, in particular the role played by the hyperkahler equation and the Cheeger-Fukaya-Gromov collapsing theory (in the 1980/90s) in Riemannian geometry .
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