The paper derives uniform formulas for eigenweights in terms of the Langlands dual group for arithmetic volumes of Shtukas with arbitrary coweights.
28, 29 [YZ11] Zhiwei Yun and Xinwen Zhu,Integral homology of loop groups via Langlands dual groups, Representation Theory of the American Mathematical Society15(2011), no
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Arithmetic volume of Shtukas and Langlands duality
The paper derives uniform formulas for eigenweights in terms of the Langlands dual group for arithmetic volumes of Shtukas with arbitrary coweights.