The Halo Conjecture for GL2

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

Hansheng Diao , Zijian Yao This is my paper · ORCID

classification math.NTmath.AG

keywords conjecturehaloboundarybuzzard-kilfordcoleman-mazureigencurvegeometrypredicted

verification ladder T0 review T1 audit T2 compute T3 formal

0 comments

read the original abstract

We prove the Halo conjecture on the geometry of the eigencurve over the boundary of the weight space, predicted by Coleman-Mazur and Buzzard-Kilford.

Forward citations

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Overconvergent Eichler-Shimura morphisms for $\mathrm{GSp}_4$
math.NT 2025-06 conditional novelty 7.0 of 10

The full four-step Eichler-Shimura decomposition for GSp4 is interpolated along p-adic weight families, and near any nice-enough eigenvariety point it splits with Hodge-Tate-Sen weights (-3, κ2-2, κ1-1, κ1+κ2).