Counting of \(G\)-shtukas: the elliptic part (Q2873602)
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scientific article; zbMATH DE number 6250166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting of \(G\)-shtukas: the elliptic part |
scientific article; zbMATH DE number 6250166 |
Statements
24 January 2014
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Drinfeld shtukas
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moduli space
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trace formula
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Counting of \(G\)-shtukas: the elliptic part (English)
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The author extends a previous joint work with \textit{B. C. Ngô} [J. Inst. Math. Jussieu 7, No. 1, 181--203 (2008; Zbl 1141.22005)] and gives a fixed point formula for the elliptic part of moduli spaces of \(G\)-shtukas with arbitrary modifications. The formula is similar to the fixed point formula of Kottwitz for certain Shimura varieties. The method is inspired by that of Kottwitz and simpler than that of Lafforgue for the fixed point formula of the moduli space of Drinfeld \(\mathrm{GL}(r)\)-shtukas.
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