Recent Developments on Compactifications of Stacks of Shtukas

doi:10.1017/9781009497206.012

11 - Recent Developments on Compactifications of Stacks of Shtukas

Published online by Cambridge University Press: 31 October 2025

Tuan Ngo Dac and

Yakov Varshavsky

Edited by

Pedro L. del Ángel R. ,

Frank Neumann and

Alexander H. W. Schmitt

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Pedro L. del Ángel R.: Affiliation:
Centro de Investigación en Matemáticas
Frank Neumann: Affiliation:
Università di Pavia
Alexander H. W. Schmitt: Affiliation:
Freie Universität Berlin

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Summary

This text presents an overview of recent developments on compactifications of moduli stacks of shtukas. The aim is to explain how to tackle the problem of compactifying stacks of shtukas by two different methods: the Langton semistable reduction and the Geometric Invariant Theory.

Keywords

Function fields moduli spaces shtukas semistable reduction GIT algebraic stacks

Information

Type: Chapter
Information: Moduli, Motives and Bundles
New Trends in Algebraic Geometry
, pp. 423 - 446

DOI: https://doi.org/10.1017/9781009497206.012 [Opens in a new window]

Publisher: Cambridge University Press

Print publication year: 2025

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References

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