ΣΕΜΙΝΑΡΙΟ ΓΕΩΜΕΤΡΙΑΣ

Πέμπτη 22/10/2026

Ώρα: 12:00-13:00

Αίθουσα: Γ23

Ομιλητής: Stepan Hudecek (University of Queensland)

Τίτλος: Poisson equation for the G_2-Laplace operator

Περίληψη: Riemannian manifolds whose holonomy group lies inside the

exceptional Lie group G_2 are called G_2-manifolds. These manifolds have

several interesting properties (they are Ricci-flat) and are of interest

in geometric analysis as well as in mathematical physics and other fields.

In this seminar, we will give an introduction to the theory of

G_2-manifolds and discuss an associated non-linear Laplacian-type operator

whose kernel essentially determines whether a compact manifold is G_2. We

will present uniqueness and existence results for the Poisson’s equation

of this operator on homogeneous and cohomogeneity-one manifolds.