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Announcements
Department of Mathematics
Frank Stones Memorial Colloquium Talk Tuesday, April 9, 4:00 - 5:00 in TUC 352
Ricardo Mendes from the University of Oklahoma will speak on Algebraicity of singular Riemannian foliations.
The talk will be in Tucker Technology Center 352, and refreshments will be served
beforehand at 3:30 pm in Tucker Technology Center 300.
Abstract: Singular Riemannian foliations are certain partitions of Riemannian manifolds, and
the traditional sources of examples are isometric group actions and isoparametric
hypersurfaces. When the ambient manifold is a sphere, it has long been known that
such examples are, in the appropriate sense, algebraic. In 2018, Lytchak and Radeschi
have shown algebraicity for a general singular Riemannian foliation in a sphere. In
work in progress, joint with S. Lin and M. Radeschi, we extend the Lytchak-Radeschi
theorem from spheres to any compact normal homogeneous space, a class that includes
all compact symmetric spaces. Time-permitting, I'll comment on the ingredients of
the proof(s), which are a nice mix of Algebra, Geometry, and Analysis.