A proof of Ibukiyama's conjecture on Siegel modular forms of half-integral weight and of degree 2

Abstract: In 2006, Ibukiyama conjectured that there is a linear isomorphism between a space of Siegel cusp forms of degree $2$ of integral weight and that of half-integral weight. With Arthur's multiplicity formula on the odd special orthogonal group $\mathrm{SO}(5)$ and Gan-Ichino's multiplicity formula on the metaplectic group $\mathrm{Mp}(4)$, Ibukiyama's conjecture can be proven in a representation theoretic way.

algebraic geometrynumber theoryrepresentation theory

Audience: researchers in the topic

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ID: 686 4945 5267

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