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X-WR-CALDESC:Events for Discrete Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20190101T000000
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DTSTART;TZID=Asia/Seoul:20201217T100000
DTEND;TZID=Asia/Seoul:20201217T110000
DTSTAMP:20260423T061935
CREATED:20201028T010135Z
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UID:3210-1608199200-1608202800@dimag.ibs.re.kr
SUMMARY:Jaiung Jun (전재웅)\, On the Hopf algebra of multi-complexes
DESCRIPTION:In combinatorics\, Hopf algebras appear naturally when studying various classes of combinatorial objects\, such as graphs\, matroids\, posets or symmetric functions. Given such a class of combinatorial objects\, basic information on these objects regarding assembly and disassembly operations are encoded in the algebraic structure of a Hopf algebra. One then hopes to use algebraic identities of a Hopf algebra to return to combinatorial identities of combinatorial objects of interest. \nIn this talk\, I introduce a general class of combinatorial objects\, which we call multi-complexes\, which simultaneously generalizes graphs\, hypergraphs and simplicial and delta complexes. I also introduce a combinatorial Hopf algebra obtained from multi-complexes. Then\, I describe the structure of the Hopf algebra of multi-complexes by finding an explicit basis of the space of primitives\, which is of combinatorial relevance. If time permits\, I will illustrate some potential applications. \nThis is joint work with Miodrag Iovanov.
URL:https://dimag.ibs.re.kr/event/2020-12-17/
LOCATION:Zoom ID: 869 4632 6610 (ibsdimag)
CATEGORIES:Virtual Discrete Math Colloquium
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