In this paper, we construct a quantization functor, associating a complex vector space H(V ) to a finite dimensional symplectic vector space V over a finite field of odd characteristic. As a result, we obtain a canonical model for the Weil representation of the symplectic group Sp (V ). The main new technical result is a proof of a stronger form of the Stone-von Neumann property for the Heisenb...

This paper integrates asymmetric information between firms into a canonical model of on-the-job search. Workers are heterogeneous in ability, but not all employers observe a worker’s type. Wage dispersion caused by search frictions makes the equilibrium wage distribution insensitive to informational asymmetries. Hence, the equilibrium outcome may be the same as when a worker’s ability is known ...

We describe the invariants of plane quartic curves — nonhyperelliptic genus 3 curves in their canonical model — as determined by Dixmier and Ohno, with application to the classification of curves with given structure. In particular, we determine modular equations for the strata in the moduli spaceM3 of plane quartics which have at least seven hyperflexes, and obtain an computational characteriz...

In this paper, we give a Prym-Tjurin construction for the cohomology and the Chow groups of a cubic hypersurface. On the space of lines meeting a given rational curve, there is the incidence correspondence. This correspondence induces an action on the primitive cohomology and the primitive Chow groups. We first show that this action satisfies a quadratic equation. Then the Abel-Jacobi mapping i...

We extend the classical notion of a Reedy category so as to allow non-trivial automorphisms. Our extension includes many important examples occurring in topology such as Segal’s category , or the total category of a crossed simplicial group such as Connes’ cyclic category . For any generalized Reedy category R and any cofibrantly generated model category E , the functor category ER is shown to ...