Explicit local multiplicative convolution of l-adic sheaves
  We give explicit formulas for the local multiplicative convolution functors which express the local monodromies of the convolution of two $\ell$-adic sheaves on the torus ${\mathbb G}_m$ over the algebraic closure of a finite field in terms of the local monodromies of the factors. 
Antonio Rojas-Le\'on
math.NT math.AG