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BEGIN:VEVENT
DTSTAMP:20240228T133414Z
DTSTART:20240305T140000Z
DTEND:20240305T150000Z
SUMMARY:Algebra seminar - Marianne Johnson
UID:{http://www.columbasystems.com/customers/uom/gpp/eventid/}r2dm-lpmfa1
p0-weryk0
DESCRIPTION:Title: Tropical representations and semigroup identities of p
lactic-like monoids\n\nAbstract: This talk concerns several well-studied
families of monoids whose elements are combinatorial gadgets of a parti
cular type over a fixed finite alphabet\, and whose multiplication can b
e defined by means of an insertion algorithm. The prototypical example i
s the family of finite rank plactic monoids: these are infinite monoids
arising from a natural combinatorial multiplication (determined by Schen
stedâ€™s insertion algorithm) on semistandard tableaux over a fixed finite
alphabet. The finite rank plactic monoids\, and many finite rank 'plact
ic-like' monoids\, can be faithfully represented by matrices over the tr
opical semiring\; we construct such representations and utilise these to
study semigroup identities satisfied by the finite rank plactic (joint
work with Kambites) and plactic-like (joint work with Cain\, Kambites an
d Malheiro) monoids.
STATUS:TENTATIVE
TRANSP:TRANSPARENT
CLASS:PUBLIC
LOCATION:Frank Adams 1\, Alan Turing Building\, Manchester
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