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arXiv:2112.08139 [math.RT]AbstractReferencesReviewsResources

Automorphic functions on moduli spaces of bundles on curves over local fields: a survey

Alexander Braverman, David Kazhdan

Published 2021-12-15, updated 2022-06-23Version 2

This paper is the written version of D.Kazhdan's plenary talk at ICM 2022. It is dedicated to an exposition of recent results and (mostly) conjectures attempting to construct an analog of the theory of automorphic functions on moduli spaces of bundles on curves over local fields (both archimedian and non-archimedian). The talk is based on joint works of D.Kazhdan with A.Braverman, P.Etingof, E.Frenkel and A.Polishchuk.

Comments: 29 pages
Categories: math.RT, hep-th, math.AG
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