Counting rational points on conics, and on Del Pezzo surfaces of degree 5

Seminar series

Date

Thu, 27 Oct 2022
16:00

Location

Speaker

Roger Heath-Brown

If $Q(x_0,x_1,x_2)$ is a quadratic form, how many solutions, of size at most $B$ , does $Q=0$ have? How does this depend on $Q$ ? We apply the answers to the surface $y_0 Q_0 +y_1 Q_1 = 0$ in $P^1 x P^2$ . (Joint work with Dan Loughran.)