BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Julia Knight (Notre Dame) DTSTART:20200428T120000Z DTEND:20200428T130000Z DTSTAMP:20260404T131154Z UID:CTA/2 DESCRIPTION:Title: Limiting Density and Free Structures\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 con jectured that the elementary frst order theory of the random group on n >= 2 generators\, and with a single relator matches\nthat of the non-Abelian free groups. Coulon\, Ho\, and Logan have proved that the theories match on universal sentences. We may ask Gromovs question for other varieties. F ranklin and I looked for varieties for which\ncalculating the limiting den sities is easier. We have examples for which the elementary frst order the ory of the random structure matches that of the free structure\, and other examples for which the theories differ.\n(joint work with Johanna Frankli n)\n LOCATION:https://stable.researchseminars.org/talk/CTA/2/ END:VEVENT END:VCALENDAR