HITCHIN TYPE MODULI STACKS IN AUTOMORPHIC REPRESENTATION THEORY
Name
1809.01811.pdf
Description
Accepted version
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338.53 KB
Format
Adobe PDF
Checksum (MD5)
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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.
Version
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
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1142/9789813272880_0104