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BIRS Workshop Lecture Videos

An ErdÅ s-Kac law for local solubility in families of varieties Loughran, Daniel

Description

A famous theorem due to ErdÅ s and Kac states that the number of prime divisors of an integer N behaves like a normal distribution. In this talk we consider analogues of this result in the setting of arithmetic geometry, and obtain probability distributions for questions related to local solubility of algebraic varieties. This is joint work with Efthymios Sofos.

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Attribution-NonCommercial-NoDerivatives 4.0 International