On multiplicity formula for spherical varieties

Chen Wan Massachusetts Institute of Technology

Representation Theory mathscidoc:1908.30002

In this paper, we propose a conjectural multiplicity formula for general spherical varieties. For all the cases where a multiplicity formula has been proved, including Whittaker model, Gan-Gross-Prasad model, Ginzburg-Rallis model, Galois model and Shalika model, we show that the multiplicity formula in our conjecture matches the multiplicity formula that has been proved. We also give a proof of this multiplicity formula in two new cases.
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  title={On multiplicity formula for spherical varieties},
  author={Chen Wan},
Chen Wan. On multiplicity formula for spherical varieties. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190821000324268624430.
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