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arXiv · 2210.04420

Whittaker coefficients of geometric Eisenstein series

Jeremy Taylor
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Abstract

Geometric Langlands predicts an isomorphism between Whittaker coefficients of Eisenstein series and functions on the moduli space of $\check{N}$-local systems. We prove this formula by interpreting Whittaker coefficients of Eisenstein series as factorization homology and then invoking Beilinson and Drinfeld's formula for chiral homology of a chiral enveloping algebra.

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Jeremy Taylor. 2022-10-10. Whittaker coefficients of geometric Eisenstein series. https://doi.org/10.1017/fms.2024.77

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