The geometry of elements fixed by an automorphism of a spherical building is a rich and well-studied object, intimately connected to the theory of Galois descent in buildings. In recent years, a complementary theory has emerged investigating the geometry of elements mapped onto opposite elements by a given automorphism. In this talk we will give an overview of this theory.
This work is joint primarily with Hendrik Van Maldeghem (along with others).
This video was produced by Newcastle University, Australia, as part of the Symmetries in Newcastle seminar series.
