Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Gravitational instantons, rational surfaces, and K3 surfaces

Jeff Viaclovsky

created by daniele on 01 Apr 2022
modified on 06 May 2022

12 may 2022 -- 18:00

Aula Tricerri, DIMaI, Firenze & online

Seminari di Geometria del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze

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".

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