Analysis Seminar

Thursday, February 15, 2024 4:30 pm - 5:30 pm EST (GMT -05:00)

Andy Zucker, Department of Pure Mathematics, University of Waterloo

"Ultracoproducts and weak containment for flows of topological groups"

We develop the theory of ultracoproducts and weak containment for flows of arbitrary topological groups. This provides a nice complement to corresponding theories for p.m.p. actions and unitary representations of locally compact groups. For the class of locally Roelcke precompact groups, the theory is especially rich, allowing us to define for certain families of G-flows a suitable compact space of weak types. When G is locally compact, all G-flows belong to one such family, yielding a single compact space describing all weak types of G-flows.

his seminar will be held both online and in person: