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Galois Seminar

Friday, February 2, 2018 - 3:15pm

Lior Bary-Soroker

Tel Aviv University and Montreal


University of Pennsylvania

DRL 4N30

It has been known for almost a hundred years that most polynomials with
integral coefficients are irreducible and have a big Galois group. For
a few dozen years, people have been interested whether the same holds
when one considers sparse families of polynomials — notably, polynomials
with ±1 coefficients. In particular, it was conjectured
that the probability for a random ±1 coefficient polynomial to be
irreducible tends to 1 as the degree tends to infinity. In this talk, I
will discuss these types of problems, some approaches to attack them, and I
will present some new results toward the conjecture, joint with Gady Kozma.