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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Generalizing a question of Gromov\, Part II - Joha
 nna Franklin (Hofstra University\, None / Other)
DTSTART;TZID=Europe/London:20220609T160000
DTEND;TZID=Europe/London:20220609T170000
UID:TALK174836AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/174836
DESCRIPTION:This talk is Part II of an account of joint work w
 ith Meng-Che (Turbo) Ho and Julia Knight on the ty
 picality of groups. In Part I\, Julia Knight prese
 nted Gromov's question about groups that inspired 
 this work and its extension to algebraic varieties
  in general and gave some examples of behaviors th
 at we encountered under various assumptions. In th
 is talk\, l discuss general conditions that imply 
 some of the behaviors discussed in these examples.
  Our primary general result states that for a comm
 utative generalized bijective variety and presenta
 tions with a single generator and single identity\
 , the zero-one law holds and\, furthermore\, that 
 the sentences with density 1 are those true in the
  free structure. The proof of this result requires
  a specialized version of Gaifman's Locality Theor
 em that enables us to get a better bound on the co
 mplexity of the formulas of interest to us\; I wil
 l sketch a proof of this version that uses saturat
 ion and then discuss the proof of our general resu
 lt.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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