Algebry barycentryczne i współrzędne barycentryczne

Speaker(s)

Anna Zamojska-Dzienio

Affiliation

Politechnika Warszawska

Language of the talk

Polish

Date

Oct. 24, 2024, 12:15 p.m.

Room

room 5450

Title in English

Barycentric algebras and barycentric coordinates

Seminar

Seminar Algebra

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Barycentric algebras were introduced in the nineteen-forties for the axiomatization of real convex sets, presented algebraically with binary operations given by weighted means, the weights taken from the (open) unit interval in the real numbers. In this talk, we first examine the algebraic aspects of barycentric algebras. Then, we focus on barycentric coordinates and our approach to study them, based on barycentric algebras. We present some recent results obtained together with A. Romanowska (Warsaw University of Technology) and J. D. H. Smith (Iowa State University).

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