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UID:8a1873733aca27b500ec3d2e6848f7de
CATEGORIES:Graduate Geometry and Topology Learning Seminar
CREATED:20220328T122739
SUMMARY:Branch Groups
DESCRIPTION:Abstract : Like many areas of group theory, the study of branch groups bega
 n with burnside’s problem: whether every finitely generated torsion group i
 s finite. One of the first counterexamples was Grigorchuck’s group, a group
  of self-similar automorphisms of cantor space. Self similarity is a powerf
 ul tool for working with these groups, and they are among the most useful e
 xamples in geometric group theory. I will illustrate this technique by prov
 ing Grigorchuck’s group is torsion, this is very elegant and requires no gr
 oup theory background. Afterwards, I’d like to go over a generalization of 
 Grigorchuck’s construction using coding theory; one I thought I’d invented,
  but Zoron Sunic actually beat me by 15 years. I’d also like to talk about 
 generalizations acting on infinite type surfaces, rather than cantor space,
  as according to my enthusiastic office-neighbor and some papers I still ne
 ed to read, this is fruitful.\n
X-ALT-DESC;FMTTYPE=text/html:<p>Abstract : Like many areas of group theory, the study of branch groups b
 egan with burnside’s problem: whether every finitely generated torsion grou
 p is finite. One of the first counterexamples was Grigorchuck’s group, a gr
 oup of self-similar automorphisms of cantor space. Self similarity is a pow
 erful tool for working with these groups, and they are among the most usefu
 l examples in geometric group theory. I will illustrate this technique by p
 roving Grigorchuck’s group is torsion, this is very elegant and requires no
  group theory background. Afterwards, I’d like to go over a generalization 
 of Grigorchuck’s construction using coding theory; one I thought I’d invent
 ed, but Zoron Sunic actually beat me by 15 years. I’d also like to talk abo
 ut generalizations acting on infinite type surfaces, rather than cantor spa
 ce, as according to my enthusiastic office-neighbor and some papers I still
  need to read, this is fruitful.</p>
CONTACT:Brian Pinsky - Rutgers University
DTSTAMP:20260827T020620
DTSTART;TZID=America/New_York:20220329T140000
DTEND;TZID=America/New_York:20220329T150000
SEQUENCE:0
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