50 citations · 81 across the 12 of their papers we have counts for
14 papers
Reduction modulo p of crystalline Galois representations via μ_p-equivariance
Bhargav Bhatt, Toby Gee, Mark Kisin
For a crystalline representation of the absolute Galois group of Q_p, with given Hodge-Tate weights, we obtain new constraints on the inertial weights of its mod p reduction. This…
Strongly compatible systems associated to semistable abelian varieties
Mark Kisin, Rong Zhou
We prove a motivic refinement of a result of Weil, Deligne and Raynaud on the existence of strongly compatible systems associated to abelian varieties. More precisely, given an abe…
Integral models of Shimura varieties with parahoric level structure, II
Mark Kisin, Georgios Pappas, Rong Zhou
We construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are étale locally isomorphic to corresponding local m…
The stable trace formula for Shimura varieties of abelian type
Mark Kisin, Sug Woo Shin, Yihang Zhu
We express the Frobenius-Hecke traces on the compactly supported cohomology of a Shimura variety of abelian type in terms of elliptic parts of stable Arthur-Selberg trace formulas…
Essential dimension via prismatic cohomology
Benson Farb, Mark Kisin, Jesse Wolfson
For a smooth, proper complex variety we show that for , the restriction of the mod cohomology to any Zariski open has dimension at least $h^{0…
Finiteness of reductions of Hecke orbits
Mark Kisin, Yeuk Hay Joshua Lam, Ananth N. Shankar +1
We prove two finiteness results for reductions of Hecke orbits of abelian varieties over local fields: one in the case of supersingular reduction and one in the case of reductive m…