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Friday, July 13, 2018 - 15:00 in T2-205


Algebraic systems and exterior semi-algebra

A talk in the Seminar Representation Theory of Algebras series by
Louis Rowen from Ramat Gan

Abstract: In this talk, we describe negation maps and `systems', and their application to linear algebra in a rather general framework that includes tropical algebra, hyperfields and fuzzy rings. The usual definition of Grassmann (exterior) algebras generalizes directly to semi-algebras, and has a built-in negation map for elements of degree > 1, so the theory of systems can be applied directly to Gatto's theory, unifying results of linear algebra from different perspectives including the classical perspective. This will include joint work with Akian, Gaubert, Gatto, Jun, Knebusch, and Mincheva, and does not require prerequisites.



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