A proof of Ibukiyama's conjecture on Siegel modular forms of half-integral weight and of degree 2
                    
                  
                  
                  
                    报告人:Hiroshi Ishimoto (Kyoto University)
 
                    时间:2021-01-21 15:00-16:00
  
                    地点:online
                   
                  
                    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 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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