Title: Positive intermediate Ricci curvature and large symmetry rank
Abstract: The Grove-Searle Maximal Symmetry Rank Theorem (MSRT)
and Wilking Half-Maximal Symmetry Rank Theorem (1/2-MSRT) represent
keystone results in the study of positively curved spaces with large
isometry groups. In this talk, I will present work on extending the
MSRT to positive intermediate Ricci curvature, focusing on dimensions
4 and 6 where only a partial extension is known. If time permits, I
will also describe current work-in-progress on extending the 1/2-MSRT
to this weaker curvature condition. This talk will be based on joint
work with Lee Kennard.