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Abstract

These notes are an attempt to provide an introduction to the stacks of shtukas and their compactifications. The notion of shtukas (or F-bundles) was first defined by Drinfeld [Dri87, Dri89] in his proof of the Langlands correspondence for the general linear group GL2 over function fields. It is recently used in the Lafforgue’s proof of the Langlands correspondence for the general linear group of higher rank GL r over function fields, cf. [Laf02].

This work is partially supported by National Science Foundation grant number DMS-0111298.

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© 2007 Birkhäuser Verlag Basel/Switzerland

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Tuan, N.D. (2007). Introduction to the Stacks of Shtukas. In: Pragacz, P. (eds) Algebraic Cycles, Sheaves, Shtukas, and Moduli. Trends in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8537-8_10

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