For more information about this meeting, contact Stephen Simpson, Jan Reimann.
| Title: | Combinatorial structure for analytic equivalence relations |
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| Seminar: | Logic Seminar |
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| Speaker: | John D. Clemens, University of North Texas |
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| Abstract: |
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| Orbit equivalence relations of Polish group actions form a proper
subclass of the collection of analytic equivalence relations, and it
is a long-standing problem to find a complete characterization of when
an arbitrary equivalence relation is induced by some action of a
Polish group. Such equivalence relations inherit combinatorial
structure from the group actions inducing them, which can be used to
analyze their complexity and other properties. In this talk I will
discuss work in progress (joint with Su Gao) on generalizing some of
the combinatorics of orbit equivalence relations to general analytic
equivalence relations, and how a number of questions about the Borel
reducibility hierarchy can be reformulated in this framework. |
Room Reservation Information
| Room Number: | MB315 |
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| Date: | 03 / 17 / 2011 |
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| Time: | 01:00pm - 02:15pm |
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