Growth of groups
Connections for Women: Geometric Group Theory August 17, 2016  August 19, 2016
Location: SLMath: Eisenbud Auditorium
geometric group theory
word problem
Dehn function
length function
Cannon's theorem
CAT(0) group
finitely generated groups
hyperbolic group
20Jxx  Connections of group theory with homological algebra and category theory
00A35  Methodology of mathematics {For mathematics education, see 97XX}
2001  Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory
2004  Software, source code, etc. for problems pertaining to group theory
14583
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 longstanding 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
Duchin Notes

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