Topic of Research Seminar: Factorization of non-commutative polynomials associated with directed graphs

Abstract: The factorization of polynomials over commutative rings is a classical fundamental problem in mathematics with a huge variety of applications. It is natural to try to do it in the non-commutative case. However, the situation here is much harder. A possible approach to the non-commutative case is to connect the problem with a study of directed graphs (quivers) or partially ordered set. In this case, we consider factorizations of polynomials over so-called splitting algebras associated with quivers. It helps to study certain rational relations between so-called pseudo-roots of polynomials over non-commutative rings which can be useful for computer science problems.

Subject Field of Topic: Non-Commutative Algebra

Name of Speaker: Bakhtawar Shaukat

Professorial Rank of Speaker: (PhD Scholar-Mathematics Dpt)

University Email of Speaker: [email protected]

Name of the School organizing the Seminar: NUST School of Natural Sciences (NUST-SNS)

Affiliation of Speaker: NUST School of Natural Sciences (NUST-SNS)

Date and Venue: May 24, 2023, at 1530 hrs, in CR# 303, Old Building, School of Natural Sciences, NUST Islamabad Campus