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Thu, 22 Jan 2026
16:00
16:00
Lecture Room 4
Random polynomials of large degree
Tim Browning
Abstract
If you take a random integer polynomial in at least 2 variables it is quite easy to show that it must be irreducible.
This is true both if you fix the degree and vary the coefficients in an expanding box, and if you restrict the coefficients to be bounded and vary the degree. In this talk I will discuss the existence of integer zeros from these two perspectives. This is joint work with Will Sawin.