Reductions of Galois representations of slope 3/2

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dc.contributor.authorGhate, Eknathen_US
dc.contributor.authorRAI, VIVEKen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2025-09-30T04:45:04Z
dc.date.available2025-09-30T04:45:04Z
dc.date.issued2025-08en_US
dc.description.abstractWe prove a zig-zag conjecture describing the reductions of irreducible crystalline two-dimensional representations of GQp of slope 32 and exceptional weights. This, along with previous works, completes the description of the reduction for all slopes less than 2. The proof involves computing the reductions of the Banach spaces attached by the p-adic Local Langlands Correspondence (LLC) to these representations, followed by an application of the mod p LLC to recover the reductions of these representations.
dc.identifier.citationKyoto Journal of Mathematics, 65(03).en_US
dc.identifier.issn2156-2261en_US
dc.identifier.issn2154-3321en_US
dc.identifier.sourcetitleKyoto Journal of Mathematicsen_US
dc.identifier.urihttps://doi.org/10.1215/21562261-2024-0022
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/10440
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherDuke University Pressen_US
dc.subjectBanach spaceen_US
dc.subjectHecke operatoren_US
dc.subjectMod p Local Langlands Correspondenceen_US
dc.subjectReductions of crystalline Galois representationsen_US
dc.subject2025-SEP-WEEK5en_US
dc.subjectTOC-SEP-2025en_US
dc.subject2025en_US
dc.titleReductions of Galois representations of slope 3/2en_US
dc.typeArticleen_US

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