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Friday, February 24, 2012

Model Theory and Descriptive Set Theory Seminar
4:00 pm   in 347 Altgeld Hall,  Friday, February 24, 2012
 Del Edit Copy
Submitted by phierony.
 Slawomir Solecki (UIUC)The pseudo-arc and its homeomorphism groupAbstract: The pseudo-arc can be constructed as a natural quotient of a projective Fraisse limit P. I will outline this construction and indicate its possible connections with random walk. I will prove an anti-Ramsey theorem (i.e., find an appropriate coloring) for a certain type of structures, which will show, via a dualization of the Kechris--Pestov--Todorcevic theory, that the group of automorphisms of P fixing a given point is not extremely amenable. The theme above will be continued in the next two talks by Ola Kwiatkowska on the work of Oppenheim.