1 citations · 2 across the 2 of their papers we have counts for
5 papers
Arithmetic Siegel-Weil for the spherical Hecke algebra
Benjamin Howard
We formulate a conjectural generalization of the arithmetic Siegel-Weil formula, relating intersection multiplicities of cycles on unitary Rapoport-Zink spaces to central derivativ…
Theta functions after Weil
Benjamin Howard
This is a mostly expository paper on the construction of theta functions on the Siegel and Hermitian half-spaces using the machinery of the Weil representation, especially theta fu…
Kudla's modularity conjecture on integral models of orthogonal Shimura varieties
Benjamin Howard, Keerthi Madapusi
We construct a family of special cycle classes on the regular integral model of an orthogonal Shimura variety, and show that these cycle classes appear as Fourier coefficients of a…
The ideal of relations for the ring of invariants of n points on the line: integrality results
Ben Howard, John Millson, Andrew Snowden +1
Consider the projective coordinate ring of the GIT quotient (P^1)^n//SL(2), with the usual linearization, where n is even. In 1894, Kempe proved that this ring is generated in degr…
The ideal of relations for the ring of invariants of n points on the line
Ben Howard, John Millson, Andrew Snowden +1
The study of the projective coordinate ring of the (geometric invariant theory) moduli space of n ordered points on P^1 up to automorphisms began with Kempe in 1894, who proved tha…