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Moduli spaces of local G-shtukas

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Abstract

We give an overview of the theory of local G-shtukas and their moduli spaces thatwere introduced in joint work of U. Hartl and the author, and in the past years studiedby many people. We also discuss relations to moduli of global G-shtukas, propertiesof their special fiber through affine Deligne-Lusztig varieties and of their generic fiber,such as the period map.

Original languageEnglish
Title of host publicationInvited Lectures
EditorsBoyan Sirakov, Paulo Ney de Souza, Marcelo Viana
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages1443-1464
Number of pages22
ISBN (Electronic)9789813272910
StatePublished - 2018
Event2018 International Congress of Mathematicians, ICM 2018 - Rio de Janeiro, Brazil
Duration: 1 Aug 20189 Aug 2018

Publication series

NameProceedings of the International Congress of Mathematicians, ICM 2018
Volume2

Conference

Conference2018 International Congress of Mathematicians, ICM 2018
Country/TerritoryBrazil
CityRio de Janeiro
Period1/08/189/08/18

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