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A Study of Schechtman's Conjectures on Totally Positive Matrices

Student: Ipatova Nadezhda

Supervisor: Mikhail V. Finkelberg

Faculty: Faculty of Mathematics

Educational Programme: Joint Bachelor's Programme with the Centre for Teaching Excellence (Bachelor)

Year of Graduation: 2021

In this paper, we construct counterexamples to Shechtman's conjectures about the positiveness of various modifications of the meta-matrix that lists all possible matrices of possibilities. In the theoretical part, the main provisions on the completely positiveness according to the article by Shaun Fallat are analyzed.

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