2 citations · 6 across the 7 of their papers we have counts for
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Deformation of rigid Galois representations and cohomology of certain quaternionic unitary Shimura variety
Haining Wang
In this article, we use deformation theory of Galois representations valued in the symplectic group of degree four to prove a freeness result for the cohomology of certain quaterni…
Arithmetic level raising on triple product of Shimura curves and Gross-Schoen Diagonal cycles I: Ramified case
Haining Wang
In this article we study the Gross-Schoen diagonal cycle on a triple product of Shimura curves at a place of bad reduction. We relate the image of the diagonal cycle under the Abel…
Deligne-Lusztig varieties and basic EKOR strata
Haining Wang
Under the axiom of He and Rapoport for the stratifications of Shimura varieties, we explain a result of Görtz, He and Nie that the EKOR strata contained in the basic loci can be de…
On the superspecial loci of orthogonal type Shimura varieties
Haining Wang
In this note, we study the superspecial loci of orthogonal type Shimura varieties of signature (n-2, 2) with n>3. We prove a conjecture of Gross on the parametrizations of the supe…
On the anticyclotomic Iwasawa main conjecture for Hilbert modular forms of parallel weights
Haining Wang
In this article, we study the Iwasawa theory for Hilbert modular forms over the anticyclotomic extension of a CM field. We prove a one sided divisibility result toward the Iwasawa…
On quaternionic unitary Rapoport-Zink spaces with parahoric level structures
Haining Wang
In this article, we describe the underlying reduced scheme of a quaternionic unitary Rapoport-Zink space with Iwahori level structure. In a previous work, we have studied the quate…