A Proof of Ibukiyama's Conjecture on Siegel Modular Forms of Half-integral Weight and of Degree 2 -

A Proof of Ibukiyama's Conjecture on Siegel Modular Forms of Half-integral Weight and of Degree 2

Time: 2021-01-18 Published By: He Liu

Speaker(s): Hiroshi Ishimoto (Kyoto University)

Time: 15:00-16:00 January 21, 2021

Venue: Online

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 SO(5) and Gan-Ichino's multiplicity formula on the metaplectic group Mp(4), Ibukiyama's conjecture can be proven in a representation theoretic way.

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