64 citations · 268 across the 40 of their papers we have counts for
35 papers · 1 filter
Higher Siegel--Weil formula for unitary groups II: corank one terms
Tony Feng, Benjamin Howard, Mikayel Mkrtchyan
We prove the higher Siegel--Weil formula for \emph{corank one} terms, relating (1) the central derivatives of corank one Fourier coefficients of Siegel--Eisenstein ser…
Intersection formulas on moduli spaces of unitary shtukas
Yongyi Chen, Benjamin Howard
Feng-Yun-Zhang have proved a function field analogue of the arithmetic Siegel-Weil formula, relating special cycles on moduli spaces of unitary shtukas to higher derivatives of Eis…
Rapoport-Zink spaces of type GU(2,n-2)
Maria Fox, Benjamin Howard, Naoki Imai
We describe the structure of the supersingular Rapoport-Zink space associated to the group of unitary similitudes of signature (2,n-2) for an unramified quadratic extension of p-ad…
Pullback formulas for arithmetic cycles on orthogonal Shimura varieties
Benjamin Howard
On an orthogonal Shimura variety, one has a collection of special cycles in the Gillet-Soule arithmetic Chow group. We describe how these cycles behave under pullback to an embedde…
Arithmetic volumes of unitary Shimura varieties
Jan Hendrik Bruinier, Benjamin Howard
The integral model of a Shimura variety carries a universal abelian scheme over it, and the dual top exterior power of its Lie algebra carries a natural hermit…
Intersections in Lubin-Tate space and biquadratic fundamental lemmas
Benjamin Howard, Qirui Li
We compute the intersection multiplicities of special cycles in Lubin-Tate spaces, and formulate a new arithmetic fundamental lemma relating these intersections to derivatives of o…