1-level density of low-lying zeros of some families of L-functions

Abstract: 

The density conjecture of Katz and Sarnak suggests that the distribution of zeros near 1/2 of a family of LL-functions is the same as that of eigenvalues near 1 of a corresponding classical compact group. This has been confirmed for various families. In this talk, I will discuss my work on the 1-level density of low-lying zeros of some families of LL-functions.