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Mirabolic group, ramified Newton stratification and cohomology of Lubin-Tate spaces
- Source :
- bulletin de la SMF 2020 Fasc 1 Tome 148
- Publication Year :
- 2016
-
Abstract
- In my 2009 paper at Inventiones, we determine the cohomology of Lubin-Tate spaces globally using the comparison theorem of Berkovich by computing the fibers at supersingular points of the perverse sheaf of vanishing cycle $\Psi$ of some Shimura variety of Kottwitz-Harris-Taylor type. The most difficult argument deals with the control of maps of the spectral sequences computing the sheaf cohomology of both Harris-Taylor perverse sheaves and those of $\Psi$. In this paper, we bypass these difficulties using the classical theory of representations of the mirabolic group and a simple geometric argument.<br />Comment: written in french. arXiv admin note: text overlap with arXiv:1512.02008
- Subjects :
- Mathematics - Number Theory
Subjects
Details
- Language :
- French
- Database :
- arXiv
- Journal :
- bulletin de la SMF 2020 Fasc 1 Tome 148
- Publication Type :
- Report
- Accession number :
- edsarx.1611.02082
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.24033/bsmf.2797