Thomas Murphy, California State University, Fullerton

Title: 3-symmetric spaces, Ricci solitons and homogeneous structures

Abstract: Arguably the most notable and widely studied class of
homogeneous spaces after the Riemannian symmetric spaces are the
3-symmetric spaces. Their study has a long history, most notably in
the work of Gray and Wolf in the case where the isometry group is
semisimple. We present classifications for a generic isometry group,
before specializing to study the most interesting family in the
classification. This leads to a new construction of Ricci solitons, as
well as examples of Riemannian homogeneous spaces admitting many
distinct homogeneous structures. Joint work with P.A. Nagy.