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SUMMARY:Be'eri Greenfeld (Bar Ilan)
DTSTART:20200723T100000Z
DTEND:20200723T110000Z
DTSTAMP:20260419T060255Z
UID:CRMDS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CRMDS/11/">H
 ow do algebras grow?</a>\nby Be'eri Greenfeld (Bar Ilan) as part of Wester
 n Sydney University Abend Seminars\n\n\nAbstract\nThe question of `how do 
 algebras grow?'\, or\, which functions can be realized as growth functions
  of algebras (associative/Lie/etc.\, or algebras having certain additional
  algebraic properties) is a major problem in the junction of several mathe
 matical fields\, including noncommutative algebra\, combinatorics of (infi
 nite) words\, symbolic dynamics\, self-similarity and more.\nWe provide a 
 novel paradigm for tackling this problem (in fact\, family of problems)\, 
 thereby resolving several open problems posed by experts regarding possibl
 e growth types of finitely generated associative algebras and Lie algebras
 .\nWe also consider the set of growth functions as a space\, and point out
  odd properties it admits (arbitrarily rapid holes\, and convergence to ou
 ter points - with respect to some plausible notion of limits).\n
LOCATION:https://researchseminars.org/talk/CRMDS/11/
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