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arXiv · 1905.07066

On Multiplicity Formula for Spherical Varieties

Chen Wan
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Abstract

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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Chen Wan. 2019-05-16. On Multiplicity Formula for Spherical Varieties. https://arxiv.org/abs/1905.07066

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