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Laplacian flow for closed G_2-structures

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GTAW01 - General relativity: from geometry to amplitudes

We will discuss the Laplacian flow for closed G_2 structures. This flow was introduced by R. Bryant in 1992 to study the geometry of G_2 structures, inspired by Hamilton's Ricci flow in studying the generic Riemannian structures and the Kahler Ricci flow in studying Kahler structures. The primary goal is to understand the conditions under which the Laplacian flow can converge to a torsion free G_2 structures, and thus Ricci flat metric with holonomy G_2. I will start with the background of G_2 structure and the motivation of introducing the Laplacian flow, and then describe my recent progress on this flow (Joint work with Jason D. Lotay).

This talk is part of the Isaac Newton Institute Seminar Series series.

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