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- W2258727799 abstract "For $G$ a connected reductive group, $gammain kg(F)$ semisimple regular integral, we introduce a fundamental domain $F_{gamma}$ for the affine Springer fibers $xx_{gamma}$. There is a beautiful way to reduce the purity conjecture of $xx_{gamma}$ to that of $F_{gamma}$, we call it the Arthur-Kottwitz reduction. When restricted to the unramified case, it turns out that these fundamental domains behave well in family. We formulate a rationality conjecture about a generating series of their Poincar'e polynomials. We then study them in detail for the group $gl_{3}$. In particular, we pave them in affine spaces and we prove the rationality conjecture." @default.
- W2258727799 created "2016-06-24" @default.
- W2258727799 creator A5059807506 @default.
- W2258727799 date "2013-03-19" @default.
- W2258727799 modified "2023-09-27" @default.
- W2258727799 title "On the fundamental domain of affine Springer fibers" @default.
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- W2258727799 doi "https://doi.org/10.48550/arxiv.1303.4630" @default.
- W2258727799 hasPublicationYear "2013" @default.
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