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SUMMARY:Thai Hoang Le (University of Mississippi)
DTSTART:20200601T173000Z
DTEND:20200601T175500Z
DTSTAMP:20260423T011158Z
UID:CANT2020/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CANT2020/8/"
 >Additive bases in infinite abelian semigroups\, II</a>\nby Thai Hoang Le 
 (University of Mississippi) as part of Combinatorial and additive number t
 heory (CANT 2021)\n\n\nAbstract\nThis talk is a continuation of part I by 
 Pierre-Yves Bienvenu\, though it will be self-contained.\n \nLet $T$ be a 
 semigroup and $A$ be a basis $T$.  \nIf $F$ is a finite subset of $A$ and 
 $A \\setminus F $ is still a basis $T$ (of a possibly different order)\, \
 ncan we bound the order of $A \\setminus F$ in terms of that of $A$ and $|
 F|$? \nIn the semigroup $\\mathbf{N}$\, this question was first studied by
  Erd\\H{o}s and Graham \nwhen $F$ is a singleton\, and by Nash and Nathans
 on for general $F$. \nWe prove a general bound for all translatable semigr
 oups. \nBesides studying the maximum order of $A \\setminus F$\, we also s
 tudy its "typical" order.\n\nJoint work with Pierre-Yves Bienvenu and Benj
 amin Girard.\n
LOCATION:https://researchseminars.org/talk/CANT2020/8/
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