\(H^0\) of Igusa varieties via automorphic forms
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Publication:6060144
DOI10.5802/jep.246arXiv2102.10690OpenAlexW3132820365MaRDI QIDQ6060144
Publication date: 3 November 2023
Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10690
Cites Work
- The adic, cuspidal, Hilbert eigenvarieties
- Affine Grassmannians and the geometric Satake in mixed characteristic
- The \(L^ 2\)-Lefschetz numbers of Hecke operators
- Representations of \(GL(n)\) and division algebras over a p-adic field
- Monodromy and irreducibility of leaves
- Galois representations arising from some compact Shimura varieties
- On local character relations
- Geometric approach to parabolic induction
- Shimura varieties and twisted orbital integrals
- On the cohomology of certain PEL-type Shimura varieties
- Parameterizing conjugacy classes of maximal unramified tori via Bruhat-Tits theory
- Constructible exponential functions, motivic Fourier transform and transfer principle
- The fundamental lemma for Lie algebras
- Counting points on Igusa varieties
- Irreducibility of the Igusa tower
- Stable trace formula: Cuspidal tempered terms
- Stable trace formula: Elliptic singular terms
- Cuspidal geometry of p-adic groups
- Trace Paley-Wiener theorem for reductive p-adic groups
- On the definition of transfer factors
- A simple trace formula
- Tamagawa numbers
- On the \(\lambda\)-adic representations associated to some simple Shimura varieties
- Asymptotic properties of unitary representations
- Discrete series characters and the Lefschetz formula for Hecke operators
- On the generic part of the cohomology of compact unitary Shimura varieties
- On the cuspidal support of discrete series for \(p\)-adic quasisplit \(\mathrm{Sp}(N)\) and \(\mathrm{SO}(N)\)
- On the cohomology of trialitary hyperbolic varieties of dimension 7
- The almost product structure of Newton strata in the deformation space of a Barsotti-Tate group with crystalline Tate tensors
- The André-Oort conjecture for \(\mathcal A_g\)
- Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné)
- Rational conjugacy classes in reductive groups
- On the connected components of Shimura varieties for CM unitary groups in odd variables
- Sato-Tate equidistribution for families of automorphic representations through the stable trace formula
- Picard ranks of \(K3\) surfaces over function fields and the Hecke orbit conjecture
- \(p\)-adic distribution of CM points and Hecke orbits. I: Convergence towards the Gauss point
- \(p\)-adic dynamics of Hecke operators on modular curves
- Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families
- Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties
- \(l\)-adic étale cohomology of Shimura varieties of Hodge type with non-trivial coefficients
- \(p\)-adic \(q\)-expansion principles on unitary Shimura varieties
- Projectivity of the Witt vector affine Grassmannian
- Geometric and homological properties of affine Deligne-Lusztig varieties
- Regular elements of semisimple algebraic groups
- On the algebraic theory of elliptic modular functions
- Computation of certain induced characters of P-adic groups
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- On central leaves of Hodge-type Shimura varieties with parahoric level structure
- Stratifying Lie strata of Hilbert modular varieties
- Honda-Tate theory for Shimura varieties
- Stratifications in good reductions of Shimura varieties of abelian type
- Potential automorphy over CM fields
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- On the cohomology of Rapoport-Zink spaces of EL-type
- The pro-\'etale topology for schemes
- 2-ADIC INTEGRAL CANONICAL MODELS
- Mod $p$ points on Shimura varieties of abelian type
- A stable trace formula for Igusa varieties
- Integral models for Shimura varieties of abelian type
- Ergodic theoretic proof of equidistribution of Hecke points
- L’endoscopie tordue n’est pas si tordue
- Arithmetic Moduli of Elliptic Curves. (AM-108)
- Stable Conjugacy: Definitions and Lemmas
- Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
- Points on Some Shimura Varieties Over Finite Fields
- Induced representations of reductive ${\germ p}$-adic groups. I
- A.D. Alexandrov spaces with curvature bounded below
- Harmonic analysis in weighted L2-spaces
- Period Spaces for "p"-divisible Groups (AM-141)
- Toroidal compactifications of integral models of Shimura varieties of Hodge type
- A unipotent circle action on 𝑝-adic modular forms
- The product structure of Newton strata in the good reduction of Shimura varieties of Hodge type
- On a lifting problem of L-packets
- METHODS FOR $p$-ADIC MONODROMY
- ENDOSCOPIE ET CHANGEMENT DE CARACTÉRISTIQUE
- The Norm 1 Group of -Adic Division Algebra
- Travaux de Shimura
- p-adic families of automorphic forms in the µ-ordinary setting
- Open problems in algebraic geometry
- Hecke operators and equidistribution of Hecke points
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