50 research outputs found
Abelian Surfaces over totally real fields are Potentially Modular
We show that abelian surfaces (and consequently curves of genus 2) over
totally real fields are potentially modular. As a consequence, we obtain the
expected meromorphic continuation and functional equations of their Hasse--Weil
zeta functions. We furthermore show the modularity of infinitely many abelian
surfaces A over Q with End_C(A)=Z. We also deduce modularity and potential
modularity results for genus one curves over (not necessarily CM) quadratic
extensions of totally real fields.Comment: 285 page
Higher Hida theory and p-adic L-functions for GSp(4)
We use the "higher Hida theory" recently introduced by the second author to
p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4),
contributing to coherent cohomology of Siegel threefolds in positive degrees.
We apply this new method to construct p-adic L-functions associated to the
degree 4 (spin) L-function of automorphic representations of GSp(4), and the
degree 8 L-function of GSp(4) x GL(2).Comment: Updated with minor corrections. To appear in "Duke Math Journal" (see
https://projecteuclid.org/accepted/euclid.dmj
HECKE OPERATORS AND THE COHERENT COHOMOLOGY OF SHIMURA VARIETIES
We consider the problem of defining an action of Hecke operators on the coherent cohomology of certain integral models of Shimura varieties. We formulate a general conjecture describing which Hecke operators should act integrally and solve the conjecture in certain cases. As a consequence, we obtain p-adic estimates of Satake parameters of certain non-regular self dual automorphic representations of GLn
Higher Hida and Coleman theories on the modular curve
We construct Hida and Coleman theories for the degree 0 and 1 cohomology of
automorphic line bundles on the modular curve and we define a p-adic duality
pairing between the theories in degree 0 and 1
Studying the Pc(4450) resonance in J/psi photoproduction off protons
The LHCb has reported the observation of a resonancelike structure, the
Pc(4450), in the J/psi p invariant masses. In our work, we discuss the
feasibility of detecting this structure in J/psi photoproduction, e.g. in the
measurements that have been approved for the experiments in Hall A/C and in
Hall B with CLAS12 at JLab. Also the GlueX Collaboration has already reported
preliminary results. We take into account the experimental resolution effects,
and perform a global fit to world J/psi photoproduction data in order to study
the possibility of observing the Pc(4450) signal in future JLab data. We
present a first estimate of the upper limit for the branching ratio of the
Pc(4450) into the J/psi p channel, and we study the angular distributions of
the differential cross sections. This will shed light on the nature and
couplings of the Pc(4450) structure in the future photoproduction experiments.Comment: NSTAR 2017 conference proceeding
le halo spectral
We construct a space of overconvergent modular forms of characteristic p, a compact operator on this space and we show that the characteristic series of this operator is the reduction modulo p of Coleman's universal series. We prove that finite slope overconvergent modular forms in positive characteristic can be deformed to characteristic 0
Double Polarization Observables in Pentaquark Photoproduction
We investigate the properties of the hidden charm pentaquark-like resonances
first observed by LHCb in 2015, by measuring the polarization transfer KLL
between the incident photon and the outgoing proton in the exclusive
photoproduction of J/psi near threshold. We present a first estimate of the
sensitivity of this observable to the pentaquark photocouplings and hadronic
branching ratios, and extend our predictions to the case of initial state
helicity correlation ALL, using a polarized target. These results serve as a
benchmark for the SBS experiment at Jefferson Lab, which proposes to measure
for the first time the helicity correlations ALL and KLL in J/psi exclusive
photoproduction, in order to determine the pentaquark photocouplings and
branching ratios.Comment: 9 pages, 7 figures, 2 tables, Version published in PR