論文

出版論文

• Lefschetz trace formula and l-adic cohomology of Rapoport-Zink tower for GSp(4), to appear in Mathematische Annalen. [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]

解説・書評等

• 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]
• 整数論—モジュラー曲線の背後に潜む数論的現象，数学の現在 i，東京大学出版会，2016年．[訂正]
• 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

• 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]