September 12, 2023
TITLE: On the geometry of resolutions of G-2-manifolds with ICS

ABSTRACT: Given a compact G_2 manifold with isolated conical singularities (ICS), the process of resolutions of these singularities gives us a one-parameter family of torsion-free G_2 structures, which can be viewed as a curve in some moduli space. This talk reports the progress in estimating the length of the curve under the L^2 Riemannian metric on the moduli space.