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Japanese mathematician (born 1947)
Masaki Kashiwara (Japanese: 柏原 正樹, Hepburn: Kashiwara Masaki; born January 30, 1947) is a Japanese mathematician and professor at the Kyoto University
Masaki_Kashiwara
City in Kansai, Japan
Kashiwara (柏原市, Kashiwara-shi) is a city located in Osaka Prefecture, Japan. As of 31 January 2022[update], the city had an estimated population of 67
Kashiwara
Existence and uniqueness theorem for certain partial differential equations
equations with analytic coefficients, the Cauchy–Kovalevskaya–Kashiwara theorem, due to Masaki Kashiwara (1983). This theorem involves a cohomological formulation
Cauchy–Kovalevskaya_theorem
Module over a sheaf of differential operators
polynomial. Early major results were the Kashiwara constructibility theorem and Kashiwara index theorem of Masaki Kashiwara. The methods of D-module theory have
D-module
Railway station in Kashiwara, Osaka Prefecture, Japan
Kashiwara-minamiguchi Station (柏原南口駅, Kashiwara-minamiguchi-eki) is a train station in Kashiwara, Osaka Prefecture, Japan. Kintetsu Railway Domyoji Line
Kashiwara-minamiguchi_Station
Railway station in Kashiwara, Osaka Prefecture, Japan
Kashiwara Station (柏原駅, Kashiwara-eki) is a railway station in Kashiwara, Osaka Prefecture, Japan. The station is owned by the West Japan Railway Company
Kashiwara_Station
Technique of studying linear partial differential equations
Masaki Kashiwara Lars Hörmander Microdifferential operator Kashiwara & Kawai 2011, pp. 11–17. Kashiwara & Schapira 1990, Definition 11.5.1. Kashiwara, Masaki;
Algebraic_analysis
Japanese original video animation series
space monsters. Senior student Reiko Kashiwara challenges Noriko to a Machine Weapon duel, but Noriko defeats Kashiwara. Noriko, Kazumi, and Ohta fly off
Gunbuster
Russian mathematician
Eckhard Meinrenken, published in Inventiones Mathematicae a proof of the Kashiwara-Vergne conjecture. In 2008 he gave a new proof with fr:Charles Torossian
Anton Alekseev (mathematician)
Anton_Alekseev_(mathematician)
2008 single by AKB48
Kashiwara 5:01 3. "Romance, Irane (Original Mix, Instrumental)" Akimoto, Rie CHOKKAKU 4:40 4. "Ai no Mōfu (Instrumental)" Akimoto, Naruse Kashiwara 5:01
Romance,_Irane
Railway station in Kashiwara, Osaka Prefecture, Japan
Takaida Station (高井田駅, Takaida-eki) is a railway station in Kashiwara, Osaka Prefecture, Japan. West Japan Railway Company Yamatoji Line Takaida Station
Takaida_Station_(Osaka)
Hiyō-class aircraft carrier
Imperial Japanese Navy (IJN). She was laid down as the passenger liner Kashiwara Maru (橿原丸), but was purchased by the IJN in 1941 while still under construction
Japanese aircraft carrier Jun'yō
Japanese_aircraft_carrier_Jun'yō
Prefecture capital and Designated city in Kyushu, Japan
to late Jomon pottery and stone-collecting hearths have been found at Kashiwara Site (South Ward). Among middle Jomon period sites, clusters of pits for
Fukuoka
Prefecture of Japan
Osaka University of Foreign Studies (Minoh) Osaka Kyoiku University (Kashiwara) Osaka City University (Osaka city) Osaka Prefecture University (Sakai)
Osaka_Prefecture
Japanese manga series
to fire (pottery), mug cup too") is a Japanese manga series by Osamu Kashiwara about Mino ware pottery, set in the Tajimi city of Gifu Prefecture. It
Let's_Make_a_Mug_Too
French-American mathematician
University in 1988. He proved the Kazhdan–Lusztig conjectures with Masaki Kashiwara. He has also worked on gerbes, cyclic homology, Quillen bundles, and geometric
Jean-Luc_Brylinski
Invasions of Iga province by forces under Oda Nobunaga
northern Iga forces, and the siege of Kashiwara Castle in the south. With the surrender of the forces in Kashiwara Castle on October 8, organized Iga resistance
Tenshō_Iga_War
French mathematician
earned Shapira an invitation to Kyoto University, where he met Masaki Kashiwara. Together, they developed the microlocal theory of sheaves, and have co-authored
Pierre Schapira (mathematician)
Pierre_Schapira_(mathematician)
Boutet de Monvel and P. Krée as well as by M. Sato, T. Kawai and M. Kashiwara. There is also an approach due to J. Sjöstrand. We first define the sheaf
Microdifferential_operator
Railway line in Osaka, Japan
Railway, connecting Dōmyōji Station in the city of Fujiidera and Kashiwara Station in Kashiwara, both in Osaka Prefecture. The line is the oldest in the Kintetsu
Domyoji_Line
Railway station in Kashiwara, Osaka Prefecture, Japan
Ōsakakyōikudaimae-eki) is a railway station on the Kintetsu Railway Osaka Line in Kashiwara, Osaka Prefecture, Japan, serving Osaka Kyoiku University. The station
Ōsaka-Kyōikudai-mae_Station
k → A 1 {\displaystyle A_{1}\to A_{2}\dots \to A_{k}\to A_{1}} , the Kashiwara form is the quadratic form on A 1 ⊕ A 2 ⊕ ⋯ ⊕ A k {\displaystyle A_{1}\oplus
Maslov_index
1956-09-01 [573] Minoh 箕面市 Osaka 127,757 47.84 2,671 1956-12-01 [574] Kashiwara 柏原市 Osaka 75,875 25.39 2,988 1958-10-01 [575] Habikino 羽曳野市 Osaka 118
List_of_cities_in_Japan
Contravariant functor to Set
Presheaf with transfers co-Yoneda lemma at the nLab Kashiwara & Schapira 2005, Corollary 2.4.3. Kashiwara & Schapira 2005, Proposition 2.7.1. Lurie, Definition
Presheaf_(category_theory)
2007 video game
doing fine. Kirari's singing voice is provided by UR@N. Sarina Kashiwara (樫原 紗理奈, Kashiwara Sarina) Voiced by: Megumi Kojima Sarina was born into a bourgeoisie
Kirakira_(video_game)
Prefecture-level city in Henan, People's Republic of China
Engineering College Xinxiang Hygiene School Itajaí, Santa Catarina, Brazil Kashiwara, Osaka, Japan History of the political divisions of China List of Catholic
Xinxiang
Index of articles associated with the same name
equations associated with Cauchy initial value problems. Cauchy–Kowalevski–Kashiwara theorem is a wide generalization of the Cauchy–Kowalevski theorem for
Uniqueness_theorem
Concept in mathematics
surfaces) and more generally for regular holonomic D-modules by Masaki Kashiwara (1980, 1984) and Zoghman Mebkhout (1980, 1984) independently. In the setting
Riemann–Hilbert correspondence
Riemann–Hilbert_correspondence
Research institute affiliated with Kyoto University
(1998.4.1 – 2001.3.31) Masaki Kashiwara (2001.4.1 – 2003.3.31) Yōichirō Takahashi (2003.4.1 – 2007.3.31) Masaki Kashiwara (2007.4.1 – 2009.3.31) Shigeru
Research Institute for Mathematical Sciences
Research_Institute_for_Mathematical_Sciences
Polynomial related to differential operators
gives an elementary introduction, while Armand Borel (1987) and Masaki Kashiwara (2003) give more advanced accounts. If f ( x ) {\displaystyle f(x)} is
Bernstein–Sato_polynomial
Branch of the government of Osaka Prefecture, Japan
High School [25] Shibutani High School [26] Kadoma West High School [27] Kashiwara East High School [28] Katano High School [29] Nagano High School [30]
Osaka Prefectural Board of Education
Osaka_Prefectural_Board_of_Education
algebra. The Hall algebra plays an important role in the theory of Masaki Kashiwara and George Lusztig regarding canonical bases in quantum groups. Ringel
Hall_algebra
Representation of a quantum group
-lattice in that vector space. Crystal bases appeared in the work of Kashiwara (1990) and also in the work of Lusztig (1990). They can be viewed as specializations
Crystal_base
Japanese mathematician (1928–2023)
was director of RIMS from 1987 to 1991. His disciples include Masaki Kashiwara, Takahiro Kawai, Tetsuji Miwa, as well as Michio Jimbo, who have been
Mikio_Sato
Japanese Naval officer
authors.[quantify] Fuchida died of complications caused by diabetes in Kashiwara, near Osaka on 30 May 1976 at the age of 73. Fuchida was the author of
Mitsuo_Fuchida
Railway line in Japan
on 15 March 2008 until 11 March 2022, 3 Rapid services starting from Kashiwara (where Rapid trains normally skip) to Namba were operated. Direct Rapid
Yamatoji_Line
Railway station in Yao, Osaka Prefecture, Japan
Rapid Service Tennōji Ōji Rapid Service Tennōji Kashiwara Rapid Service starting Kashiwara for JR Namba Tennōji Ōji Yamatoji Rapid Service
Kyūhōji_Station
Class of spinors constructed using Clifford algebras
arXiv:0911.0993. doi:10.4007/annals.2011.174.1.3. Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji (1982). "Transformation groups for soliton equations
Pure_spinor
International Congress of Mathematicians award
work in Hodge theory and periods of algebraic varieties." 2018 Masaki Kashiwara "For his outstanding and foundational contributions to algebraic analysis
Chern_Medal
Japanese boxer
8 Win 6–1–1 Elmer Magallano TKO 8 (15) Apr 15, 1984 20 years, 74 days Kashiwara Gymnasium, Nara, Nara, Japan Won inaugural IBF bantamweight title 7 Win
Satoshi_Shingaki
Basis of a type of algebraic structure
by Kashiwara; it is sometimes called the crystal basis. The definition of the canonical basis was extended to the Kac-Moody setting by Kashiwara (by
Canonical_basis
City in Kansai, Japan
Prefecture Yamatotakada Katsuragi Ōji Kanmaki Kōryō Osaka Prefecture Habikino Kashiwara Taishi Kashiba has a humid subtropical climate (Köppen Cfa) characterized
Kashiba,_Nara
Town in Kansai, Japan
Prefecture Kashiba Kawai Kanmaki Sangō Ikoma Ikaruga Osaka Prefecture Kashiwara Ōji has a humid subtropical climate (Köppen Cfa) characterized by warm
Ōji,_Nara
Norwegian international mathematics prize
outstanding applications in mathematical physics and statistics." 2025 Masaki Kashiwara Research Institute for Mathematical Sciences "For his fundamental contributions
Abel_Prize
Aircraft carrier class of the Imperial Japanese Navy
as the fast luxury Kashiwara Maru-class [jp] passenger liners (橿原丸級貨客船, Kashiwara Maru-kyū kakyakusen) as respectively Kashiwara Maru and Izumo Maru
Hiyō-class_aircraft_carrier
Mathematical transform
developed independently by the Japanese mathematicians Mikio Sato, Masaki Kashiwara and Takahiro Kawai in their approach to microlocal analysis. It can also
Fourier–Bros–Iagolnitzer transform
Fourier–Bros–Iagolnitzer_transform
List of Japanese citizens who lived 110 years or beyond
Japan on 25 April 1907. Tatsumi moved into the Hakuto nursing home in Kashiwara, Osaka Prefecture, Japan in 2013. When she came to the nursing home she
List of Japanese supercentenarians
List_of_Japanese_supercentenarians
Russian physicist (1928–1998)
Motohico (1988), "KP Equations, Strings, and the Schottky Problem", in Kashiwara, Masaki; Kawai, Takahiro (eds.), Algebraic Analysis, Academic Press, pp
Boris_Kadomtsev
Single by AKB48
Distribution Songwriters Yasushi Akimoto, Hiroshi Uesugi Producers Nobuhiko Kashiwara, Yasushi Kubota, Kotaro Shiba AKB48 singles chronology "Sakura no Hanabiratachi"
Sakura_no_Hanabiratachi
Japanese film producer (1910–1997)
notably Yojimbo and Kagemusha. Tanaka was born on April 26, 1910, in Kashiwara, Osaka. As a child, he would often walk miles to the nearest theater to
Tomoyuki_Tanaka
General theory of mathematical structures
Theory (3rd ed.). Heldermann Verlag Berlin. ISBN 978-3-88538-001-6.. Kashiwara, Masaki; Schapira, Pierre (2006). Categories and Sheaves. Grundlehren
Category_theory
Japanese bicycle frame builder (born 1947)
in January 1976 and established his plant, Nagasawa Racing Cycle, in Kashiwara, Osaka Prefecture. Koichi Nakano debuted in the track world championships
Yoshiaki_Nagasawa
Tool to track locally defined data attached to the open sets of a topological space
1007/BF02685881. S2CID 189777706. Iversen (1986, Chapter VII, Theorem 1.4) Kashiwara & Schapira (1994, Chapter III, §3.1) de Cataldo & Migliorini (2010) Grothendieck
Sheaf_(mathematics)
Railway station in Kashiwara, Osaka Prefecture, Japan
Kawachi-Kokubu-eki) is a railway station on the Kintetsu Osaka Line in Kashiwara, Osaka Prefecture, Japan. Kawachi-Kokubu Station has two island platforms
Kawachi-Kokubu_Station
Topics referred to by the same term
Osaka Prefecture, Japan: Takaida Station (Higashiōsaka) Takaida Station (Kashiwara) This disambiguation page lists articles about railway and public transport
Takaida_Station
a Grothendieck universe. Kashiwara & Schapira 2006, Corollary 2.4.3. Kashiwara & Schapira 2006, Proposition 2.6.4. Kashiwara, Masaki; Schapira, Pierre
Limit and colimit of presheaves
Limit_and_colimit_of_presheaves
Cluster of Corridor-type Kofun Tomb in Osaka, Japan
caves in a tuff cliff of located in the Takaida neighborhood of city of Kashiwara, Osaka, in the Kansai region of Japan. It was designated as a National
Takaida_Cave_Tombs
French-Algerian mathematician (born 1949)
correspond. An independent proof of this result was presented by Masaki Kashiwara in April 1980. Zoghman is now largely known as a specialist in D-modules
Zoghman_Mebkhout
2006 American film by Clint Eastwood
as Private First Class Nozaki Takashi Yamaguchi as Private First Class Kashiwara Eijiro Ozaki as Lieutenant Okubo Alan Sato as Sergeant Ondo Nae Yuuki [ja]
Letters_from_Iwo_Jima
Classification of eukaryotes
Entactinosphaera, Gracilentactinia, Holdisphaera, Involutentactinia, Kashiwara, Magnentactinia, Magnisphaera, Microporosa, Moskovistella, Multientactinia
Protist_classification
locally compact Hausdorff is imposed in most sources (e.g., Iversen or Kashiwara–Schapira). In slightly greater generality, Olaf Schnürer and Wolfgang
Direct image with compact support
Direct_image_with_compact_support
Japanese mathematician
of the theory. On April 3, 2020, two Japanese mathematicians, Masaki Kashiwara and Akio Tamagawa, announced that Mochizuki's claimed proof of the abc
Shinichi_Mochizuki
Higashiōsaka Hirakata Ibaraki Ikeda Izumi Izumiotsu Izumisano Kadoma Kaizuka Kashiwara Katano Kawachinagano Kishiwada Matsubara Minoh Moriguchi Neyagawa Osaka
List of municipal flags of Kansai region
List_of_municipal_flags_of_Kansai_region
Belgian mathematician
Deligne's paper, Zoghman Mebkhout's 1980 thesis and the work of Masaki Kashiwara through D-modules theory (but published in the 80s) on the problem have
Pierre_Deligne
Japanese baseball player and coach (born 1943)
He last served as the batting coach for the Chunichi Dragons. Born in Kashiwara, Osaka, Doi attended Daitetsu High School, dropping out before graduation
Masahiro_Doi
National expressway in Osaka and Nara Prefectures, Japan
and Osaka areas. Osaka Prefecture Matsubara - Fujiidera - Habikino - Kashiwara Nara Prefecture Kashiba - Kanmaki - Kawai - Ando - Yamatokōriyama - Ando
Nishi-Meihan_Expressway
a bridge between the theory of crystal bases arising from the work of Kashiwara and Lusztig on quantum groups and the standard monomial theory of C. S
Littelmann_path_model
Public research university in Japan
Satoshi Ōmura). Additionally, Kunihiko Kodaira won a Fields Medal, Masaki Kashiwara won an Abel Prize, both often called the 'Nobel Prize for mathematics'
University_of_Tokyo
Japanese mathematician
emeritus at RIMS. He was a student of Mikio Sato at the same time as Masaki Kashiwara with whom he later shared the Asahi Prize in 1987. "Homepage of Takahiro
Takahiro_Kawai
River in Kansai, Japan
river flows via towns: Nara Prefecture Yamatokōriyama Osaka Prefecture Kashiwara Fujiidera - confluence with Ishikawa River Since 1704, the river was reconfigured
Yamato_River
Australia Chengde, China Guam, United States Torrance, United States Kashiwara Grosseto, Italy Xinxiang, China Kasugai Kelowna, Canada Kasukabe Fraser
List of twin towns and sister cities in Japan
List_of_twin_towns_and_sister_cities_in_Japan
Russian-American mathematician
Joseph Bernstein. Independent of Beilinson and Bernstein, Brylinski and Kashiwara obtained a proof of the Kazhdan–Lusztig conjectures. However, the proof
Alexander_Beilinson
Burial mound located in Osaka, Japan
burial mound, located in the Kokubu-ichiba neighborhood of the city of Kashiwara, Osaka, in the Kansai region of Japan. The tumulus was designated a National
Matsuokayama_Kofun
72,404 26 Izumiōtsu City 74,431 75,897 77,548 77,673 75,091 68,842 27 Kashiwara City 68,789 71,112 74,773 77,034 79,227 80,303 28 Fujiidera City 63,714
List of cities in Osaka Prefecture by population
List_of_cities_in_Osaka_Prefecture_by_population
International Conference on Combinatorial physics Physical Combinatorics, Masaki Kashiwara, Tetsuji Miwa, Springer, 2000, ISBN 0-8176-4175-0 David Ruelle (1999)
Combinatorics_and_physics
2026 studio album by Nogizaka46
10. "Navel Orange" (ネーブルオレンジ) Nakamura Nobuhiko Kashiwara 5:32 11. "Same Numbers" Kawaura Kashiwara 5:05 12. "Biryani" (ビリヤニ) Lee Lab Satoshi Hanamura
My_Respect
Integral polynomial
Beilinson and Joseph Bernstein (1981) and by Jean-Luc Brylinski and Masaki Kashiwara (1981). The methods introduced in the course of the proof have guided
Kazhdan–Lusztig_polynomial
Category whose objects are small categories and whose morphisms are functors
Nerve of a category Universal set, the notion of a 'set of all sets' Kashiwara, Masaki; Schapira, Pierre (2006). Categories and sheaves. empty category
Category_of_small_categories
Honor bestowed by the government of Japan
(1904–2008) awarded 1981 Yuet Keung Kan (1913–2012), awarded 1983 Masaki Kashiwara (born 1947), awarded 2020. Shahin Lauritzen, awarded 1999 [citation needed]
Order_of_the_Sacred_Treasure
Mathematical concept
the terminology finitely presented object instead of compact object. Kashiwara & Schapira (2006) call these the objects of finite presentation. The same
Compact_object_(mathematics)
Homological construction
useful in the study of singular spaces; see, for example, the book by Kashiwara and Schapira (Categories and Sheaves) on various applications of unbounded
Derived_category
Railway line in Japan
duplicated in 1903 and extended to Kashiwara in 1908. The Nara to Kizu section was duplicated in 1914, and the Kashiwara to Nara section between 1923 and
Kansai_Main_Line
Decomposition of an algebraic structure
lemma, used to prove the Schreier Refinement Theorem Isaacs 1994, p.146. Kashiwara & Schapira 2006, exercise 8.20 Birkhoff, Garrett (1934), "Transfinite
Composition_series
May 1940 Scrapped, 1947 Kashii Oct 1939 Jul 1941 Air attack, Jan 1945 Kashiwara cancelled cancelled Agano class 6,652 t 6x 6 in (150 mm) 8x 610 mm (24 in)
List of ships of the Imperial Japanese Navy
List_of_ships_of_the_Imperial_Japanese_Navy
Chemical element with atomic number 84 (Po)
3683.537. PMID 14325152. S2CID 22567612. Ota, Tomoko; Sanada, Tetsuya; Kashiwara, Yoko; Morimoto, Takao; et al. (2009). "Evaluation for Committed Effective
Polonium
Award
2016-10-15. "Edward Witten". Inamori Foundation. Retrieved 2016-10-15. "Masaki Kashiwara". Inamori Foundation. Retrieved 2018-06-15. "Elliott H. Lieb". Inamori
Kyoto_Prize_in_Basic_Sciences
Duality for sheaves of k-modules over a locally compact space
Springer-Verlag, doi:10.1007/978-3-642-82783-9, ISBN 978-3-540-16389-3, MR 0842190 Kashiwara, Masaki; Schapira, Pierre (2002), Sheaves on Manifolds, Berlin: Springer
Verdier_duality
Asuka period Buddhist temple ruins
period Buddhist temple located in the Takaida neighborhood of the city of Kashiwara, Osaka, Japan. The temple no longer exists, but the temple grounds were
Tosaka-dera
Japanese former actor (born 1977)
original on 2006-03-03. Retrieved 2016-07-31. "お色直し3回…柏原&畑野さん挙式!新婦は感動の涙" [Kashiwara and Hatano's wedding ceremony - changing their attire three times! The
Takashi_Kashiwabara
Japanese media franchise
jazz-inspired remix album featuring arrangements by Nittoku Inoue, Nobuhiko Kashiwara, Nao Tokisawa, Atsushi Tomita, Transquillo, and Ryo Yonemitsu. Bryan Cebulski
Wild_Arms
Japanese basketball coach
Osaka Prefecture Career information High school Higashiosaka College Kashiwara (Kashiwara, Osaka) College Osaka University of Health and Sport Sciences Coaching
Kazuo_Kusumoto
City in Kansai, Japan
river banks are maintained for recreation. Osaka Prefecture Habikino Kashiwara Matsubara Yao Fujiidera has a Humid subtropical climate (Köppen Cfa) characterized
Fujiidera
2025 studio album by Hiroko Moriguchi
Akimoto Toshiaki Matsumoto Nobuhiko Kashiwara 4:13 5. "Speed" (Supīdo (スピード)) Nishiwaki Kaori Okui Okui Kashiwara 3:58 6. "Whistle" (Hoissuru (ホイッスル))
Your Flower: Uta no Hanataba o
Your_Flower:_Uta_no_Hanataba_o
Type of generalized function
Applications (Japanese Series, Vol. 3), Springer, ISBN 978-90-277-2837-1 Kashiwara, Masaki; Kawai, Takahiro; Kimura, Tatsuo (2017) [1986], Foundations of
Hyperfunction
Hiyō-class aircraft carrier
carrier in the event of war. The designs of Izumo Maru and her sister ship Kashiwara Maru were based on the German ocean liner SS Bremen, although they were
Japanese aircraft carrier Hiyō
Japanese_aircraft_carrier_Hiyō
sufficiently large dominant highest weight modules using Lie algebra techniques. Kashiwara (1993) proved a refined version of the Demazure character formula that
Demazure_module
International non-governmental organisation
Shigefumi Mori) 2003–2006: John M. Ball (vice: Jean-Michel Bismut, Masaki Kashiwara) 2007–2010: László Lovász (vice: Zhi-Ming Ma, Claudio Procesi) 2011–2014:
International Mathematical Union
International_Mathematical_Union
President of the Philippines from 1965 to 1986
Archived from the original on December 11, 2021. Retrieved June 30, 2010. Kashiwara, Ken (October 16, 1983). "Aquino's Final Journey". The New York Times
Ferdinand_Marcos
\infty } . It is also a special case of the chiral Potts model and the Kashiwara–Miwa model. As is the case for most lattice models in statistical mechanics
ZN_model
Algebraic construct of interest in theoretical physics
group, and to define quasi-invariants for knots, links and braids. Masaki Kashiwara has researched the limiting behaviour of quantum groups as q → 0, and
Quantum_group
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