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SUMMARY:Benjamin Braun (University of Kentucky)
DTSTART:20200730T140000Z
DTEND:20200730T150000Z
DTSTAMP:20260423T005759Z
UID:notts_ag/18
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/18/
 ">The integer decomposition property and Ehrhart unimodality for weighted 
 projective space simplices</a>\nby Benjamin Braun (University of Kentucky)
  as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nWe
  consider lattice simplices corresponding to weighted projective spaces wh
 ere one of the weights is $1$. We study the integer decomposition property
  and Ehrhart unimodality for such simplices by focusing on restrictions re
 garding the multiplicity of each weight. We introduce a necessary conditio
 n for when a simplex satisfies the integer decomposition property\, and cl
 assify those simplices that satisfy it in the case where there are no more
  than three distinct weights. We also introduce the notion of reflexive st
 abilizations of a simpex of this type\, and show that higher-order reflexi
 ve stabilizations fail to be Ehrhart unimodal and fail to have the integer
  decomposition property. This is joint work with Robert Davis\, Morgan Lan
 e\, and Liam Solus.\n
LOCATION:https://researchseminars.org/talk/notts_ag/18/
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