Thursday, 24th January 2008, 4:00 pm

Mathematics Building, Lecture Hall 2

Eli Glasner

(Tel Aviv University)

"Universal minimal dynamical systems and Ramsey theory"

** Abstract: ** Each topological group *G* admits a unique universal
minimal dynamical system *(M(G),G)*. For a locally compact
non-compact group this is a non-metrizable system with a rich
structure, on which *G* acts effectively. However there are
topological groups for which *M(G)* is the trivial one point
system (groups with the fixed point on compacta property), as well
as topological groups $G$ for which *M(G)* is metrizable and the
action of *G* on *M(G)* can be described explicitly. I will survey
this new theory as developed by Glasner-Weiss, Pestov, Uspenskij,
and Kechris-Pestov-Todorcevic, and show some connections with
combinatorial Ramsey theory and the phenomenon of concentration of
mass.

Light refreshments will be served in the faculty lounge at 3:30.

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