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Special Riemannian Metrics and Curvature Functionals

Gravitational instantons, rational surfaces, and K3 surfaces (online participation)

speaker: Jeffrey Viaclovsky (University of California, Irvine)

abstract: I will describe some examples of complete non-compact Ricci-flat metrics in dimension 4, which are called "gravitational instantons." In many cases, these can be compactified complex analytically to rational surfaces. I will also discuss how these gravitational instantons can arise from sequences of degenerating Ricci-flat metrics on the compact K3 surface, through a process called "bubbling".

timetable:
Tue 7 Jun, 17:30 - 18:30,
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