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 Groups of piecewise linear homeomorphisms

Justin Moore (Cornell)

Location:  Hill 705
Date & time: Friday, 01 November 2019 at 4:00PM - 5:00PM

Abstract:  Piecewise linear homeomorphisms of the unit interval have been a source of groups with interesting properties in which calculations are practical. Recently a program has been initiated to understand the collective structure of these groups under the embeddability relation. I will discuss a number of recent results and conjectures along these lines. Remarkably the ordinal \(\epsilon_0\) makes an appearance, suggesting that logic may provide important tools and insight into this program. 

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