Counting algebraic tori over Q by Artin conductor by Jungin Lee

Counting number fields by discriminant is one of the most important topics in arithmetic statistics. In this talk, we discuss its natural generalization: counting algebraic tori over Q of given dimension by Artin conductor. We propose analogues of Linnik's and Malle's conjecture for tori over Q and provide several evidences for them. After that, we summarize our results on counting two and three-dimensional tori over Q.

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