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Arithmetic volume of Shtukas and Langlands duality

Wang, Zeyu et al.
arXiv (All) · Papers
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algebraic-geometrynumber-theoryrepresentation-theory
We extend the work of Feng--Yun--Zhang relating the arithmetic volume of Shtukas with derivatives of zeta functions by allowing arbitrary coweights for split semisimple algebraic groups. As in their original work, the formula involves some numbers called eigenweights. We obtain uniform formulas for
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