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Growth of groups

Connections for Women: Geometric Group Theory August 17, 2016 - August 19, 2016

August 19, 2016 (09:10 AM PDT - 10:10 AM PDT)
Speaker(s): Moon Duchin (Tufts University)
Location: MSRI: Simons Auditorium



Growth functions of groups have been studied intensively in geometric group theory.  Regarded up to affine rescaling, they give a group invariant called the growth rate, and there are long-standing questions about possible growth rates for finitely generated groups.  Another stream of questions asks whether the growth values satisfy a recursion, a property which is called rational growth and depends on the choice of generators.  I will survey the area and discuss the classic proofs that hyperbolic groups and virtually abelian groups have rational growth in any generators

26550?type=thumb Duchin Notes 450 KB application/pdf Download
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H.264 Video 14583.mp4 357 MB video/mp4 rtsp://videos.msri.org/data/000/026/422/original/14583.mp4 Download
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