# Anders Södergren: Extending the unconditional support in an Iwaniec–Luo–Sarnak family

**Time: **
Thu 2023-05-04 13.30

**Location: **
KTH, 3418

**Participating: **
Anders Södergren (Göteborg/Chalmers)

**Abstract.**

Iwaniec, Luo and Sarnak has (partially) confirmed the Katz–Sarnak heuristic (for the one-level density) in several families of classical automorphic *L*-functions. In this talk, I will discuss how we can use zero-density estimates for Dirichlet *L*-functions to extend the unconditional part of Iwaniec–Luo–Sarnak’s work in the family of *L*-functions attached to holomorphic newforms of fixed even weight and prime level tending to infinity. This is joint work with Lucile Devin and Daniel Fiorilli.