現代数学の系譜11 ガロア理論を読む6
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0091現代数学の系譜11 ガロア理論を読む
2012/07/22(日) 17:45:31.80>T.Yoshida
こんなページが・・
http://mathoverflow.net/questions/64141/geometric-construction-of-depth-zero-local-langlands-correspondence
Geometric construction of depth zero local Langlands correspondence - MathOverflow
Dear community,
In light of the recent work of DeBacker/Reeder on the depth zero local Langlands correspondence, I was wondering if there is an attempt to "geometrize" the depth zero local Langlands correspondence.
In particular, in Teruyoshi Yoshida's thesis, one can see a glimpse of this for ,
略
Sincerely,
Moshe Adrian edited May 7 2011 at 3:13
Teruyoshi Yoshida responded to my question by e-mail and he is ok with my posting his response on mathoverflow :
"Dear Moshe,
thanks for your interest - yes it would be very interesting to do this with more general Rapoport-Zink spaces, but
i) I haven't been successful in finding an intrinsic moduli interpretation of my model for tame Lubin-Tate space, hence the difficulty in generalizing to other groups
ii) the so-called Drinfeld level structures do not seem to give nice integral models for the Rapoport-Zink spaces with deeper levels.
In spite of these obstacles in arithmetic-geometry, it would be interesting to investigate the cohomology for other RZ spaces (there are works by Ito-Mieda, Shin, Strauch etc). Feel free to quote my email in mathoverflow.
very best, Teruyoshi"
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