Patrick Meisner (Tel-Aviv University)
Degenerate Whittaker Models for Cuspidal Representations of GL(kn,F)

Several authors have studied the probability that random curves over finite fields have a certain number of points. The families of curves most studied are those whose function field is an abelian Galois extension with sufficiently many roots of unity. We will present these results as well as a new work with Bary-Soroker on what happens when we remove the assumption on roots of unity.
 
Irreducibility of integral polynomials with a large gap