Commutative Algebra seminar
Tuesday, 13 February 4 pm-5 pm
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Venue: Ramanujan Hall
Host: J. K. Verma
Speaker: S. K. Khanduja
Affiliation: IISER Mohali
Title: Some well-known Irreducibility Criteria for polynomials over rationals and their generalizations
Abstract: We will review the classical irreducibility criteria of Eisenstein, Schoenemann, and Dumas, and then discuss their extensions using Newton polygons and the theory of valuations. We shall also present recently proved generalizations of the well-known
results of Schur as well as of Filaseta and Trifonov regarding the irreducibility of the truncated exponential polynomial and the Bessel polynomial. This talk is partly based on joint work with Ankita Jindal, Bablesh Jhorar, and Sanjeev Kumar.