this talk is a sequel to my colloquium talk, given earlier in the day.   my main objective is to introduce the geometric weil representation which is an algebra-geometric (l-adic weil sheaf) counterpart of the weil representation. then, i will explain how the geometric weil representation is used to prove to main result stated in my colloquium talk. in the course, i will explain grothendieck's geometrization procedure by which sets are replaced by algebraic varieties and functions by sheaf theoretic objects.