Sigmundur Gudmundsson (Lund University) will speak in the geometry seminar on 17/06/2024, at 2pm in the Salle des Profs (9th floor of building NO). Sigmundur’s title is “Minimal Submanifolds of Compact Riemannian Symmetric Spaces – The Method of Eigenfamilies” and his abstract is below.
The literature on minimal submanifolds of Riemannian manifolds is vast.
In most cases the submanifolds are either of dimension two or of codimension one.
In this talk we introduce a new general method for the construction of families of
minimal submanifolds of codimension two. We show that such families exist for all
the classical Riemannian symmetric spaces (M,g). The case when (M,g) is compact
is of special interest. We will construct several explicit complex multi-dimensional
families of compact minimal submanifolds in interesting cases.
This is joint work with Thomas Munn (Lund University)