Regular Irrational Subdivisions and Common Refinements

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• Nick Winstone (Royal Holloway
• Wednesday 26 June 2019, 14:30-15:00
• MR12.

If you have a question about this talk, please contact Christopher Brookes.

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Elements of Thompsons group F can be defined as an affine interpolation of regular subdivisions of the unit interval. We define regular subdivisions associated with subdivision polynomials and determine which regular subdivisions can be used to create the elements of the groups Fτ with τ an algebraic integer. By adapting the work of S. Cleary and J. Brown, we find that for degree 2, the subdivision polynomials must be Pisot polynomials.

This talk is part of the Algebra and Representation Theory Seminar series.

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