Next seminar

Abstract:

Given a Riemannian manifold (M,g), it may admit further geometric structures compatible with the Riemannian metric g. Various meaningful examples, such as almost Hermitian structures, are related to the study of Riemannian holonomy groups. Among them, the geometric structures associated with the exceptional Lie group G₂ are of interest both in differential geometry and in theoretical physics.

In this talk, I shall explain the basics of G₂ geometry, and I shall discuss some known results and open problems.