Aug 19, 2016
Friday
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09:10 AM - 10:10 AM
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Growth of groups
Moon Duchin (Tufts University)
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- Location
- MSRI: Simons Auditorium
- Video
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- Abstract
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
- Supplements
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11:30 AM - 12:30 PM
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Growth of groups
Moon Duchin (Tufts University)
|
- Location
- MSRI: Simons Auditorium
- Video
-
- Abstract
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
- Supplements
-
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