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SUMMARY:Jaiung Jun (SUNY at New Paltz)
DTSTART:20230317T140000Z
DTEND:20230317T150000Z
DTSTAMP:20260423T021648Z
UID:ACPMS/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/16/">O
 n the Hopf algebra of multi-complexes</a>\nby Jaiung Jun (SUNY at New Palt
 z) as part of Algebraic and Combinatorial Perspectives in the Mathematical
  Sciences\n\n\nAbstract\nHopf algebras appear naturally in combinatorics i
 n the following way: For a given class of combinatorial objects (such as g
 raphs or matroids)\, basic operations (such as assembly and disassembly op
 erations) often can be encoded in the algebraic structure of a Hopf algebr
 a. One then hopes to use algebraic identities of a Hopf algebra to return 
 to combinatorial identities of combinatorial objects of interest. In this 
 talk\, I will introduce a general class of combinatorial objects\, which w
 e call multi-complexes. They simultaneously generalize graphs\, hypergraph
 s and simplicial and delta complexes. I will describe the structure of the
  Hopf algebra of multi-complexes by finding an explicit basis of the space
  of primitives. This is joint work with Miodrag Iovanov.\n
LOCATION:https://researchseminars.org/talk/ACPMS/16/
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