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Speaker:
David Arnold, Baylor University
Title:
Representations of Finite Partially Ordered Sets
Abstract:
The subject of representations of finite partially ordered sets is
rooted in classical linear algebra. This talk will be a survey of some
of the major developments in the subject, beginning with concrete
examples of solved and unsolved matrix problems and ending with current
research on representations over the integers modulo a power of a prime
and the localization of the integers at a prime. Characterizations of
representation types in terms of the structure of finite partially
ordered sets will be included. As time permits, applications to abelian
group theory will be given. A beginning graduate algebra course should
be more than sufficient background for this talk.
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