**SMS scnews item created by Haotian Wu at Fri 1 Sep 2017 1709**

Type: Seminar

Modified: Tue 5 Sep 2017 1721

Distribution: World

Expiry: 3 Mar 2018

**Calendar1: 19 Oct 2017 1200-1300**

**CalLoc1: Carslaw 535A**

CalTitle1: Geometry & Topology Seminar: Yong Wei -- Laplacian flow for closed G_2 structures

Auth: haotianw@como.maths.usyd.edu.au

### Geometry & Topology Seminar

# Laplacian flow for closed G_2 structures

### Yong Wei (ANU)

**Thursday 19 October 12:00–13:00 in Carslaw 535A.**

Please join us for lunch after the talk!

**Abstract:**

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 Kähler Ricci flow in studying the Kähler structures. The primary goal is to understand the conditions under which the Laplacian flow can converge to a torsion free \(G_2\) structure, 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 results on this flow. This is based on joint work with Jason D. Lotay (UCL).

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