|Title: The density of squarefree values taken by a polynomial|
|Speaker: Manjul Bhargava of Princeton|
|Contact: John Duncan, firstname.lastname@example.org|
|Date: 2017-10-20 at 4:00PM|
It is well known that the density of integers that are squarefree is $6/\pi^2$, giving one of the more intriguing occurrences of $\pi$ where one might not a priori expect it! A natural next problem that has played an important role in number theory is that of understanding the density of squarefree values taken by an integer polynomial. We survey a number of recent results on this problem for various types of polynomials - some of which use the ``ABC Conjecture'' and some of which do not.
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