論文
出版論文
- Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4),
Mathematische Annalen 385 (2023), 131--192. [DOI]
- On the formal degree conjecture for simple supercuspidal representations,
Mathematical Research Letters 28 (2021), 1227--1242.
[DOI]
- Potentially good reduction loci of Shimura varieties (with Naoki Imai),
Tunisian Journal of Mathematics 2 (2020), 399--454.
[DOI]
- Parity of the Langlands parameters of conjugate self-dual representations of GL(n)
and the local Jacquet-Langlands correspondence,
Journal of the Institute of Mathematics of Jussieu 19 (2020), 2017--2043.
[DOI]
- On irreducible components of Rapoport-Zink spaces, International Mathematics Research Notices, Volume 2020, 2361--2407.
[DOI]
- Note on weight-monodromy conjecture for p-adically uniformized varieties,
Proceedings of the American Mathematical Society 147 (2019), 1911--1920.
[DOI]
- Jacquet functor and De Concini-Procesi compactification (with Noriyuki Abe), International Mathematics Research Notices, Volume 2015, 3810--3829. [DOI]
- Variants of formal nearby cycles,
Journal of the Institute of Mathematics of Jussieu 13 (2014), 701--752. [DOI]
- Geometric approach to the local Jacquet-Langlands correspondence, American Journal of Mathematics 136 (2014), 1067--1091. [DOI]
- Lefschetz trace formula for open adic spaces,
Journal für die reine und angewandte Mathematik 694 (2014), 85--128. [DOI]
- Comparison results for étale cohomology in rigid geometry, Journal of Algebraic Geometry 23 (2014), 91--115.
[DOI]
- Toroidal compactifications of Shimura varieties of PEL type and its application (with Naoki Imai), RIMS Kôkyûroku Bessatsu B44 (2013), 3-24.
- Lefschetz trace formula and l-adic cohomology of Lubin-Tate tower,
Mathematical Research Letters 19 (2012), 95--107. [DOI]
- 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. [DOI]
- 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. [DOI]
- On l-independence for the étale cohomology of rigid spaces over local fields,
Compositio Mathematica 143 (2007), 393--422. [DOI]
- 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. [DOI]
プレプリント
- Geometric approach to the explicit local Langlands correspondence.
[PDF]
- Zelevinsky involution and l-adic cohomology of the Rapoport-Zink tower.
[PDF]
- 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]
- 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]
- Cuspidal representations in the l-adic cohomology of the Rapoport-Zink space for GSp(4) (with Tetsushi Ito).
[PDF]
著書
解説・書評等
- ガロア理論における双対性,数理科学(特集:「数理に現れる双対性」),2024年7月号.
- ラングランズ対応への発展,数学セミナー(特集:「ガロア理論の質問箱」),2022年6月号.
- Arthur分類とその応用,RIMS講究録別冊B77「代数的整数論とその周辺2016」,75--126.[PDF]
- Selberg跡公式とラングランズ対応,数理科学(リレー連載「フィールズ賞で語る現代数学」第8回),2015年10月号.
- Galois表現と整数論,数理科学(特集:「代数学における様々な発想」),2015年4月号.
- p進体上の代数幾何,数理科学(特集:「連続から離散へ」),2010年11月号.
- L. Fargues, A. Genestier and V. Lafforgue: L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld,数学,第62巻第1号.
その他の文書
- GSp(4)のRapoport–Zink空間のl進コホモロジーの超尖点部分について
(RIMS講究録「代数的整数論とその周辺2021」)
[PDF]
- Local Saito-Kurokawa A-packets and l-adic cohomology of Rapoport-Zink tower for GSp(4): announcement
(RIMS講究録「保型形式,保型表現,ガロア表現とその周辺2021」)
[PDF]
- Compactly supported cohomology and nearby cycle cohomology of open Shimura varieties of PEL type(with Naoki Imai, 論文“Potentially good reduction loci of Shimura varieties”の古いバージョン)
[PDF]
- Galois理論の証明
[PDF]
- GL(n)の局所ラングランズ対応(第21回整数論サマースクール「p進簡約群の表現論入門」の報告書)
[PDF]
- Geometric proof of the local Jacquet-Langlands correspondence for GL(n) for prime n(論文“Geometric approach to the local Jacquet-Langlands correspondence”の古い/短いバージョン)
[PDF]
- Integral log crystalline cohomology and algebraic correspondences (代数幾何学城崎シンポジウムの報告書)
[PDF]
- エタールコホモロジーとl進表現(第17回整数論サマースクール「l進ガロア表現とガロア変形の整数論」の講義録)
[PDF]
- Adic空間のエタールコホモロジーについて (代数学シンポジウムの報告書)
[PDF]
- 局所・大域整合性
(紹介記事,「R=Tの最近の発展--佐藤・Tate予想とSerre予想--」)
[PDF]
- GL_nの標準モデルの特異性・平坦性
(紹介記事) [PDF]
- Introduction to p-adic uniformization of Shimura curves
(紹介記事,英語) [PDF]
- On the action of the Weil group on the l-adic cohomology of rigid spaces
over local fields
(中央大学でのワークショップ "Arithmetic Geometry, Related Area and Applications" の報告書)
[PDF]
- 局所体上のリジッド空間のl進コホモロジーへのWeil群の作用について
(RIMS講究録1521「代数的整数論とその周辺」)
[PDF]
- 関数体上のLanglands予想について
(紹介記事,RIMS講究録1398「保型形式の構成とその応用」)
[PDF]
三枝洋一 Email