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Daniel Platt: Lectures

September 15, 2021
TITLE: New estimates for G2-structures on resolutions of orbifolds

ABSTRACT: Joyce and Karigiannis extended the generalised Kummer construction and constructed torsion-free G2-structures on resolutions of G2-orbifolds. In the talk I will explain a different analytic setup to study the same problem, using weighted Hölder norms, which gives improved control over the torsion-free G2-structure and a slightly simpler proof compared to the original proof. This has applications in G2-instantons, and potential applications in associative submanifolds and resolutions of singularities at different length scales. This is the content of arXiv:2011.00482.

Slides of Lecture