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An introduction to real trees and pretrees

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If you have a question about this talk, please contact Dr Rachael Boyd .

Real trees are geodesic spaces in which “triangles are tripods.” These geometric constructions can be used to encode dynamical properties of a surface homeomorphism or a free group automorphism. In this talk, I will define real trees and classify their isometries. Through examples, I will show you how real trees arise naturally when studying surfaces and free groups. The talk will end with a brief discussion of real pretrees; loosely speaking, these are “trees without metrics.”

This talk is part of the Special Geometric Group Theory Seminar series.

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