All currently known construction methods of smooth compact $\mathrm G_2$-manifolds have been tied to certain singular $\mathrm G_2$-spaces, which in Joyce’s original construction are $\mathrm G_2$-orbifolds and in Kovalev’s ...

The workshop dealt with nonlinear partial differential equations and some applications in geometry, touching several different topics such as minimal surfaces and harmonic maps, equations in conformal geometry, geometric ...