Stopping New Yorkers\u27 Stalkers: An Anti-Stalking Law For the Millennium

This essay concerns itself with some of the legislative responses to stalking in New York and examines some of the specific anti-stalking provisions of the Clinic Access and Anti-Stalking Act of 1999, recently signed by New York Governor George Pataki. The author interviews Senator Michael A.L. Balboni, Assemblyman Scott Stringer, and the Assemblyman\u27s former Legislative Director Rob Hack, who were all heavily involved in getting the legislation passed, offering a unique perspective

Stopping New Yorkers\u27 Stalkers: An Anti-Stalking Law For the Millennium

This essay concerns itself with some of the legislative responses to stalking in New York and examines some of the specific anti-stalking provisions of the Clinic Access and Anti-Stalking Act of 1999, recently signed by New York Governor George Pataki. The author interviews Senator Michael A.L. Balboni, Assemblyman Scott Stringer, and the Assemblyman\u27s former Legislative Director Rob Hack, who were all heavily involved in getting the legislation passed, offering a unique perspective

Integral models of Shimura varieties with parahoric level structure

For an odd prime p, we construct integral models over p for Shimura varieties with parahoric level structure, attached to Shimura data (G,X) of abelian type, such that G splits over a tamely ramified extension of Q_p. The local structure of these integral models is related to certain "local models", which are defined group theoretically. Under some additional assumptions, we show that these integral models satisfy a conjecture of Kottwitz which gives an explicit description for the trace of Frobenius action on their sheaf of nearby cycles.Comment: 81 pp, some changes and corrections, to appear in Publ. Math. IHE

Twisted loop groups and their affine flag varieties

We develop a theory of affine flag varieties and of their Schubert varieties for reductive groups over a Laurent power series local field k((t)) with k a perfect field. This can be viewed as a generalization of the theory of affine flag varieties for loop groups to a "twisted case"; a consequence of our results is that our construction also includes the flag varieties for Kac-Moody Lie algebras of affine type. We also give a coherence conjecture on the dimensions of the spaces of global sections of the natural ample line bundles on the partial flag varieties attached to a fixed group over k((t)) and some applications to local models of Shimura varieties.Comment: LaTex, 73 page

Local models of Shimura varieties, I. Geometry and combinatorics

We survey the theory of local models of Shimura varieties. In particular, we discuss their definition and illustrate it by examples. We give an overview of the results on their geometry and combinatorics obtained in the last 15 years. We also exhibit their connections to other classes of algebraic varieties such as nilpotent orbit closures, affine Schubert varieties, quiver Grassmannians and wonderful completions of symmetric spaces.Comment: 86 pages, small corrections and improvements, to appear in the "Handbook of Moduli

Cubic structures, equivariant Euler characteristics and lattices of modular forms

We use the theory of cubic structures to give a fixed point Riemann-Roch formula for the equivariant Euler characteristics of coherent sheaves on projective flat schemes over Z with a tame action of a finite abelian group. This formula supports a conjecture concerning the extent to which such equivariant Euler characteristics may be determined from the restriction of the sheaf to an infinitesimal neighborhood of the fixed point locus. Our results are applied to study the module structure of modular forms having Fourier coefficients in a ring of algebraic integers, as well as the action of diamond Hecke operators on the Mordell-Weil groups and Tate-Shafarevich groups of Jacobians of modular curves.Comment: 40pp, Final version, to appear in the Annals of Mathematic