Pierre Schapira (born April 28, 1943) is a French mathematician. He specializes in
algebraic analysis
Algebraic analysis is an area of mathematics that deals with systems of linear partial differential equations by using sheaf theory and complex analysis to study properties and generalizations of functions such as hyperfunctions and microfunctio ...
, especially
Mikio Sato
is a Japanese mathematician known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He is a professor at the Research Institute for Mathematical Sciences in Kyoto.
Education
Sato studied at the Unive ...
's
microlocal analysis
In mathematical analysis, microlocal analysis comprises techniques developed from the 1950s onwards based on Fourier transforms related to the study of variable-coefficients-linear and nonlinear partial differential equations. This includes genera ...
, together with the mathematical concepts of
sheaves and
derived categories
In mathematics, the derived category ''D''(''A'') of an abelian category ''A'' is a construction of homological algebra introduced to refine and in a certain sense to simplify the theory of derived functors defined on ''A''. The construction proce ...
.
Schapira received his doctorate for work on
hyperfunction
In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sato ...
s. Although these were already in use in France by
André Martineau
André Martineau (born 14 May 1930 – 4 May 1972) was a French mathematician, specializing in mathematical analysis.
Martineau studied at the École Normale Supérieure and received there, with Laurent Schwartz as supervisor, his Ph.D. with a the ...
, they were further developed by Schapira and
Jacques-Louis Lions
Jacques-Louis Lions (; 3 May 1928 – 17 May 2001) was a French mathematician who made contributions to the theory of partial differential equations and to stochastic control, among other areas. He received the SIAM's John von Neumann Lecture ...
. This work earned Shapira an invitation to
Kyoto University
, mottoeng = Freedom of academic culture
, established =
, type = National university, Public (National)
, endowment = ¥ 316 billion (2.4 1000000000 (number), billion USD)
, faculty = 3,480 (Teaching Staff)
, administrative_staff ...
, where he met
Masaki Kashiwara
is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module, ''D''-module theory, Hodge theory, sheaf theory and represent ...
. Together, they developed the microlocal theory of sheaves, and have co-authored many papers spanning several decades.
He served as a professor at the
Paris 13 University
Sorbonne Paris North University (french: Université Sorbonne Paris Nord) is a public university based in Paris, France. It is one of the thirteen universities that succeeded the University of Paris in 1968. It is a multidisciplinary university l ...
in the 1980s and has been a professor at the
Pierre and Marie Curie University
Pierre and Marie Curie University (french: link=no, Université Pierre-et-Marie-Curie, UPMC), also known as Paris 6, was a public university, public research university in Paris, France, from 1971 to 2017. The university was located on the Jussi ...
since the 1990s.
In 1990, he was an
invited speaker at the
International Congress of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU).
The Fields Medals, the Nevanlinna Prize (to be rename ...
in
Kyoto
Kyoto (; Japanese: , ''Kyōto'' ), officially , is the capital city of Kyoto Prefecture in Japan. Located in the Kansai region on the island of Honshu, Kyoto forms a part of the Keihanshin metropolitan area along with Osaka and Kobe. , the ci ...
, speaking on sheaf theory for
partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a Multivariable calculus, multivariable function.
The function is often thought of as an "unknown" to be sol ...
s.
Schapira was inducted as a
fellow
A fellow is a concept whose exact meaning depends on context.
In learned or professional societies, it refers to a privileged member who is specially elected in recognition of their work and achievements.
Within the context of higher education ...
of the
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
with the Society's inaugural class of Fellows in 2013.
See also
*
Mikio Sato
is a Japanese mathematician known for founding the fields of algebraic analysis, hyperfunctions, and holonomic quantum fields. He is a professor at the Research Institute for Mathematical Sciences in Kyoto.
Education
Sato studied at the Unive ...
*
Masaki Kashiwara
is a Japanese mathematician. He was a student of Mikio Sato at the University of Tokyo. Kashiwara made leading contributions towards algebraic analysis, microlocal analysis, D-module, ''D''-module theory, Hodge theory, sheaf theory and represent ...
*
Jean Leray
Jean Leray (; 7 November 1906 – 10 November 1998) was a French mathematician, who worked on both partial differential equations and algebraic topology.
Life and career
He was born in Chantenay-sur-Loire (today part of Nantes). He studied at Éc ...
*
Alexander Grothendieck
References
External links
Pierre Schapira's page at ''Institut de Mathématiques de Jussieu-Paris Rive Gauche''Videos of Pierre Schapirain the AV-Portal of the
German National Library of Science and Technology
The German National Library of Science and Technology (german: Technische Informationsbibliothek), abbreviated TIB, is the national library of the Federal Republic of Germany for all fields of engineering, technology, and the natural sciences. I ...
{{DEFAULTSORT:Schapira, Pierre
1943 births
Living people
20th-century French mathematicians
21st-century French mathematicians
University of Paris faculty
Fellows of the American Mathematical Society