On some open problems about polynomials

Abstract: Over the years, there have been several open problems involving polynomials that I would love to tell others about. This opportunity to speak at my ``home ground'' seems the perfect time to do so. More specifically, I will discuss the following:

(1) A conjecture of Ruzsa for integers and a related problem in a joint work with Bell for polynomials over finite fields.

(2) A conjectural lower bound for the degree of irreducible factors of certain polynomials from a joint work with DeMarco, Ghioca, Krieger, Tucker, and Ye.

(3) The irreducibility of certain Gleason polynomials.

commutative algebraalgebraic geometryalgebraic topologycombinatoricsgroup theorynumber theoryrings and algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )

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Calgary Algebra and Number Theory Seminar

Series comments: This seminar series is partially supported by the Pacific Institute for the Mathematical Sciences (PIMS).

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