Nearly G2-structures and G2-Laplacian co-flows

Seminar series

Algebraic and Symplectic Geometry Seminar

Date

Tue, 28 Oct 2025
15:30

Location

Speaker

Jakob Stein

Organisation

State University of Campinas and University of Oxford

Nearly $G_2$-structures in dimension seven are, up to scaling, critical points of a geometric flow called (modified) Laplacian co-flow. Moreover, since nearly $G_2$-structures define Einstein metrics, they can also be associated to critical points of the volume-normalised Ricci flow. In this talk, we will discuss a recent joint work with Jason Lotay, showing that many of these nearly $G_2$ critical points are unstable for the modified co-flow, and giving a lower bound on the index.