{{short description|Japanese mathematician}} {{Infobox scientist |name =Ichiro Satake |image =Ichiro Satake.jpeg |image_size = |caption = Ichirō Satake in Berkeley, California |birth_date ={{Birth date|1927|12|25}} |birth_place =Tokyo, Japan |death_date ={{Death date and age|2014|10|10|1927|12|25}} |death_place = |field =Mathematics |work_institutions =University of Tokyo<small> (1952-1963)</small><br/>University of Chicago<small> (1963-1968)</small><br/>UC Berkeley<small> (1968-1983)</small><br/>Tohoku University<small> (1980-1991)</small><br/>Chuo University<small> (1991-1998)</small> |alma_mater =University of Tokyo |doctoral_advisor =Shokichi Iyanaga |doctoral_students = |known_for =Satake isomorphism<br/>Satake diagrams |prizes = }}

{{Nihongo|'''Ichirō Satake'''|佐武 一郎|Satake Ichirō}} (25 December 1927 – 10 October 2014) was a Japanese mathematician working on algebraic groups who introduced the Satake isomorphism and Satake diagrams. He was considered an iconic figure in the theory of linear algebraic groups and symmetric spaces.<ref>{{cite web|url = https://senate.universityofcalifornia.edu/in-memoriam/files/ichiro-satake.html | title = In Memoriam, Ichiro Satake | author= Joseph A. Wolf| access-date = 21 June 2018}}</ref>

Satake was born in Tokyo, Japan in 1927, and received his Ph.D. at the University of Tokyo in 1959 under the supervision of Shokichi Iyanaga. He was a professor at University of California, Berkeley from 1968 to 1983. After retirement he returned to Japan, where he spent time at Tohoku University and Chuo University. He died of respiratory failure on 10 October 2014.<ref>{{cite web|url=http://www.jiji.com/jc/c?g=obt_30&k=2014102000767 |archive-url=https://archive.today/20141020143959/http://www.jiji.com/jc/c?g=obt_30&k=2014102000767 |url-status=dead |archive-date=20 October 2014 |script-title=ja:佐武一郎氏死去（東北大名誉教授・整数論、微分幾何学） |language=Japanese |access-date=20 October 2014 |publisher=Jiji Press }}</ref>

Although they are often attributed to William Thurston, Satake was the first to introduce orbifold, which he did in the 1950s under the name of ''V-manifold''. In {{harvtxt|Satake|1956}}, he gave the modern definition, along with the basic calculus of smooth functions and differential forms. He demonstrated that the de Rham theorem and Poincaré duality, along with their proofs, carry over to the orbifold setting. In {{harvtxt|Satake|1957}}, he demonstrated that the standard tensor calculus of bundles, connections, and curvature also carries over to orbifolds, along with the Chern-Gauss-Bonnet theorem and Shiing-Shen Chern's proof thereof.<ref>Shiing-shen Chern. ''A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds.'' Ann. of Math. (2) 45 (1944), 747–752.</ref>

==Major publications== *{{Citation | last1=Satake|first1=I.|title=On a generalization of the notion of manifold|journal=Proc. Natl. Acad. Sci. U.S.A.|volume=42|year=1956|issue=6|pages=359–363|doi=10.1073/pnas.42.6.359|pmid=16578464|pmc=528292|bibcode=1956PNAS...42..359S|doi-access=free}} *{{Citation | last1=Satake|first1=Ichirô|title=The Gauss-Bonnet theorem for V-manifolds|journal=J. Math. Soc. Jpn.|volume=9|year=1957|issue=4|pages=464–492|doi=10.2969/jmsj/00940464|doi-access=free}} *{{Citation | last1=Satake | first1=Ichirô | title=Theory of spherical functions on reductive algebraic groups over p-adic fields | url=http://www.numdam.org/item?id=PMIHES_1963__18__5_0 | mr=0195863 | year=1963 | journal=Publications Mathématiques de l'IHÉS| volume=18 | issue=18 | pages=5–69| doi=10.1007/BF02684781 | s2cid=4666554 }} *{{Citation | last1=Satake | first1=Ichirô | title=Algebraic structures of symmetric domains | url=https://books.google.com/books?id=4UtkQgAACAAJ | publisher=Iwanami Shoten | location=Tokyo | series=Kanô Memorial Lectures | isbn=978-0-691-08271-4 | mr=591460 | year=1980 | volume=4}}

==References== {{Reflist}}

==External links== *{{MathGenealogy|id=22859}} * {{cite web|url=http://owpdb.mfo.de/person_detail?id=5915|title= Photographs of Ichirô Satake|publisher=Mathematical Research Institute of Oberwolfach}} * [https://www.jstage.jst.go.jp/article/tmj1949/36/4/36_4_611/_pdf/-char/ja FORMULA IN SIMPLE JORDAN ALGEBRAS ICHIRO SATAKE (Received May 7, 1984)]

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{{DEFAULTSORT:Satake, Ichiro}} Category:1927 births Category:2014 deaths Category:Deaths from respiratory failure Category:20th-century Japanese mathematicians Category:21st-century Japanese mathematicians Category:University of California, Berkeley faculty Category:University of Tokyo alumni Category:Academic staff of Tohoku University Category:Academic staff of Chuo University Category:University of Chicago faculty Category:Mathematicians from Tokyo Category:Group theorists Category:Topologists