Lethbridge Number Theory and Combinatorics Seminar: Shabnam Akhtari (Online)

In order to study interesting arithmetic, algebraic, analytic and geometric properties of binary forms, we often need a way to order them. I will discuss some natural ways to order binary forms F(x , y) with integer coefficients, especially those of degree 3 and 4. I will show some of my recent works as examples of the importance of understanding the invariant theory of integral binary forms in order to count these important arithmetic objects.