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Presented By: Department of Mathematics

Arithmetic Geometry Learning Seminar

Rational points on average

We've seen in the seminar that while the BMO is explicitly computable, showing that it is the only obstruction can be a tricky issue. Indeed, one of the most successful strategies is to rely on a very difficult conjecture about prime values of polynomials. However, such number theoretic input is a little easier to prove "on average". We'll discuss what this means for the study of rational points and survey some recent results in this direction. Speaker(s): Nick Rome (UM)

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