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On some open problems about polynomials

Speaker: Dang-Khoa Nguyen

Date: Thu, Nov 28, 2024

Location: PIMS, University of Calgary

Conference: UCalgary Algebra and Number Theory Seminar

Subject: Mathematics, Algebraic Geometry, Number Theory

Class: Scientific

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:

- A conjecture of Ruzsa for integers and a related problem in a joint work with Bell for polynomials over finite fields.
- A conjectural lower bound for the degree of irreducible factors of certain polynomials from a joint work with DeMarco, Ghioca, Krieger, Tucker, and Ye.
- The irreducibility of certain Gleason polynomials.