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SUMMARY:Meng Che "Turbo" Ho (California State University Northridge)
DTSTART:20220321T203000Z
DTEND:20220321T213000Z
DTSTAMP:20260423T004823Z
UID:CTA/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CTA/83/">Zer
 o-one laws for finitely presented structures</a>\nby Meng Che "Turbo" Ho (
 California State University Northridge) as part of Computability theory an
 d applications\n\n\nAbstract\nGromov proposed the notion of random groups 
 as a model to study the typical behavior of finitely presented groups. The
 y share many properties of the free group\, and Knight conjectured that ra
 ndom groups satisfy the zero-one law and have the same first-order theory 
 as the free group. In this joint work with Franklin and Knight\, we study 
 this zero-one law in other classes of structures. In particular\, we consi
 der random presentations in algebraic varieties in the sense of universal 
 algebra. We will discuss some examples where the zero-one law holds and so
 me other examples where the zero-one law fails. We also establish some gen
 eral conditions for the zero-one law to hold (or fail).\n
LOCATION:https://researchseminars.org/talk/CTA/83/
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