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.