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SUMMARY:Julia Knight (Notre Dame)
DTSTART:20200428T120000Z
DTEND:20200428T130000Z
DTSTAMP:20260423T004138Z
UID:CTA/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/2/">Limi
 ting Density and Free Structures</a>\nby Julia Knight (Notre Dame) as part
  of Computability theory and applications\n\n\nAbstract\nGromov had asked 
 what a random group looks like - in a limiting density sense. I conjecture
 d that the elementary frst order theory of the random group on n >= 2 gene
 rators\, and with a single relator matches\nthat of the non-Abelian free g
 roups. Coulon\, Ho\, and Logan have proved that the theories match on univ
 ersal sentences. We may ask Gromovs question for other varieties. Franklin
  and I looked for varieties for which\ncalculating the limiting densities 
 is easier. We have examples for which the elementary frst order theory of 
 the random structure matches that of the free structure\, and other exampl
 es for which the theories differ.\n(joint work with Johanna Franklin)\n
LOCATION:https://researchseminars.org/talk/CTA/2/
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