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HITCHIN TYPE MODULI STACKS IN AUTOMORPHIC REPRESENTATION THEORY

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sword-2021-06-01T16:24:31.original.xml (130 B)
Original SWORD entry document
Author(s)
YUN, ZHIWEI
Date Issued
2019
Journal
Proceedings of the International Congress of Mathematicians, ICM 2018
Publisher
World Scientific Pub Co Pte Lt
Citation
YUN, ZHIWEI. 2019. "HITCHIN TYPE MODULI STACKS IN AUTOMORPHIC REPRESENTATION THEORY." Proceedings of the International Congress of Mathematicians, ICM 2018, 2.
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Author's final manuscript
Abstract
© Proceedings of the International Congress of Mathematicians, ICM 2018. All rights reserved. In the study of automorphic representations over a function field, Hitchin modulistack and its variants naturally appear and their geometry helps the comparison oftrace formulae. We give a survey on applications of this observation to a relativefundamental lemma, the arithmetic fundamental lemma and to the higher Gross-Zagierformula.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
http://creativecommons.org/licenses/by-nc-sa/4.0/
Persistent DSpace Link
https://hdl.handle.net/1721.1/136971
DOI of Published Version
https://doi.org/10.1142/9789813272880_0104
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