Papers
Publications
- Comparison results for étale cohomology in rigid geometry, to appear in Journal of Algebraic Geometry.
[PDF]
- Lefschetz trace formula and l-adic cohomology of Lubin-Tate tower,
to appear in Mathematical Research Letters.
[PDF]
- A remark on the geometric Jacquet functor (with Noriyuki Abe),
Journal of Mathematical Sciences, the University of Tokyo 17 (2010), 243--246.
- Non-cuspidality outside the middle degree of l-adic cohomology of the Lubin-Tate tower, Advances in Mathematics 225 (2010), 2287--2297.
- Cycle classes, Lefschetz trace formula and integrality for p-adic cohomology,
Algebraic Number Theory and Related Topics 2007, RIMS Kôkyûroku Bessatsu B12 (2009),
57--66.
- The Picard-Lefschetz formula for p-adic cohomology,
Mathematische Zeitschrift 257 (2007), 403--425.
- On l-independence for the étale cohomology of rigid spaces over local fields,
Compositio Mathematica 143 (2007), 393--422.
- On the action of the Weil group on the l-adic cohomology of rigid spaces
over local fields, International Mathematics Research Notices, Volume 2006, Article ID 16429.
Preprints
- Geometric approach to the local Jacquet-Langlands correspondence.
[PDF], submitted.
- Jacquet functor and De Concini-Procesi compactification (with Noriyuki Abe).
[arXiv]
- On the cuspidal representations of GL_2(F) of level 1 or 1/2 in the cohomology of the Lubin-Tate space $\mathcal{X}(\pi^2)$ (with Tetsushi Ito and Takahiro Tsushima)
[arXiv], submitted.
- On the cohomology of the Lubin-Tate curve of level 2 and the Lusztig theory over finite rings (with Tetsushi Ito and Takahiro Tsushima)
[arXiv], submitted.
- Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type (with Naoki Imai), submitted.
[PDF]
- Lefschetz trace formula for open adic spaces, submitted.
[PDF]
- Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4) (with Tetsushi Ito), submitted.
[PDF]
- Variants of formal nearby cycles, submitted.
[PDF]
Other Documents in English
- Geometric proof of the local Jacquet-Langlands correspondence for GL(n) for prime n (Older and shorter version of the preprint “Geometric approach to the local Jacquet-Langlands correspondence”).
[PDF]
- Integral log crystalline cohomology and algebraic correspondences (Proceedings of Kinosaki Algebraic Geometry Symposium 2009).
[PDF]
- Introduction to p-adic uniformization of Shimura curves (survey).
[PDF]
Yoichi MIEDA, Email