Abstract

G2-manifolds are an exceptional class of Ricci-flat manifolds occurring in dimension 7. Of particular interest are compact G2-manifolds, which play a similar role in M-theory in physics as Calabi-Yau manifolds do in string theory. It has been known for a long time that compact G2-manifolds are not rigid: they form finite-dimensional families of deformations, which can be globally parametrised by a moduli space. An important feature of these moduli spaces is that they come equipped with a natural metric, analogous to the Weil—Petersson metric, whose properties remain poorly understood. The goal of this talk will be to give a brief review of these topics and present new results concerning the incompleteness and the local geometry of the moduli spaces.

 

Link Information: https://us02web.zoom.us/j/88515165316?pwd=mbCbDhY0GS5cgscutVsCKaJmjuBo6s.1

Meeting ID: 885 1516 5316

Passcode: 130940

 

Organizers: Nicolau Sarquis Aiex (NTNU), Siao-Hao Guo (NTU), Chung-Jun Tsai (NTU)