JournalsjemsVol. 24, No. 10pp. 3629–3678

On a multiplicity formula for spherical varieties

  • Chen Wan

    Rutgers University–Newark, USA
On a multiplicity formula for spherical varieties cover
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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 models, Gan–Gross–Prasad models, Ginzburg–Rallis models, Galois models and Shalika models, we show that the multiplicity formulas in our conjecture are the same as the multiplicity formulas that have been proved. We also prove the conjectural multiplicity formula in two new cases.

Cite this article

Chen Wan, On a multiplicity formula for spherical varieties. J. Eur. Math. Soc. 24 (2022), no. 10, pp. 3629–3678

DOI 10.4171/JEMS/1172