Time：14:00-15:00, Wednesday, June 19 2024
Venue：E4-233
Speaker：Pietro Mercuri, University of Roma
Title：Asymptotic self-intersection of the Arakelov canonical sheaf of $X_0(N)$
Abstract：We outline the proof that the self-intersection of the Arakelov canonical sheaf of the classical modular curves $X_0(N)$ is asymptotic to $3g\log N$, for $N\to+\infty$ and coprime with 6, where $g$ is the genus of $X_0(N)$.
