EVENT DETAILS AND ABSTRACT

Title: On homogeneous closed gradient Laplacian solitons
Speaker: Nicholas Ng
Speaker Info: Northwestern
Brief Description:
Special Note:
Abstract:

Laplacian solitons are self-similar solutions to a geometric flow of $G_2$-structures on smooth 7-manifolds called the Laplacian flow. Recently, Laplacian solitons on homogeneous spaces have received increased interest and many new examples have been found by Fernández-Raffero, Lauret-Nicolini, and others. Though there has been recent work on gradient Laplacian solitons in the nonhomogeneous setting due to Haskins and his collaborators, very little is known about gradient solitons of a closed Laplacian flow on homogeneous spaces. In this talk, we will discuss a Structure Theorem for homogeneous closed gradient Laplacian solitons. We will then use the Structure Theorem to show that some examples of closed Laplacian solitons cannot be of gradient type.