Pierre Deligne
Pierre Deligne ( born October 3, 1944 in Etterbeek, Brussels -Capital Region ) is a Belgian mathematician. He became famous for his complete proof of the Weil conjectures.
Life
Deligne has already visited as a high school student ( on him at age 14, a math teacher set theory by Nicolas Bourbaki to reading was ) at sixteen mathematics courses at the Université Libre de Bruxelles, among others, Jacques Tits. He was then at the Université Libre de Bruxelles, but spent much of his four years of study in Paris, where he attended the Council of tits following at the Institut des Hautes Études Scientifiques ( IHES ) in the seminar by Alexander Grothendieck and at the College de France lectures attended by Jean -Pierre Serre. Among the tests he returned each to Brussels and spent after graduation in 1966 his military service in Bonn (where he also attended the Math Workshop in Bonn, but little else came to doing mathematics ). Then he was back at the IHES in Grothendieck, the heranzog him to draw his seminar talks in previous years. In 1968 he received his doctorate in Brussels in Grothendieck ( Lefschetz theorems de et de critères dégénérescence de suites spectrales ). He stopped at the IHES, where he became professor in 1970 and a permanent member. Besides Grothendieck he also worked with Serre together ( about l -adic representation of modular forms and functional equations of L-functions ) and David Mumford. After visiting professor at the Institute for Advanced Study, he was several times (1972 /73 1976/77 1981 /2), he was there from 1984 permanent member. In 2008 he became Professor Emeritus.
In his time at the IHES also be evidence of the Weil conjectures fell (especially the analogue of Riemann 's conjecture for algebraic varieties over finite fields ) and the proof of the Ramanujan - Petersson conjecture in the theory of modular forms, which he on the Weil conjectures attributed. It is essential for the proof of Riemann 's conjecture in the Weil conjectures dealing with modular forms, to which he was led on the lectures of Jean -Pierre Serre, of him in 1969 to his first lecture in the Nicolas Bourbaki Seminar Rooms on the theory of Goro was Shimura encouraged. As part of the Grothendieck research program he worked on issues of Hodge theory ( see Engl. ) (Mixed Hodge Theory), category theory and the theory of motives ( comes from him, the concept of mixed motives ). He worked later with the monodromy of linear differential equations, the representation theory of finite groups, Grassmann varieties and the deformation quantization.
With Alexander Beilinson, Joseph Bernstein, Ofer Gabber, he led the early 1980s, a perverse sheaves and proved the decomposition theorem and other properties for specific perverse sheaves. This until the early 1980s proved sentences were considered significant progress with many applications.
In 1974 he gave a plenary lecture at the International Congress of Mathematicians (ICM ) in Vancouver ( Poids dans la cohomology of varietes algebriques ), and in 1970 he was invited speaker at the ICM in Nice ( theory de Hodges I).
He is married since 1980 with Elena Alexeeva ( daughter of the Russian mathematician VM Alexeev ) and has two children. It was the early 1970s, first in Moscow ( to a banquet Vinogradov on his 80th birthday ), there attended the seminars of Israel Gelfand and Yuri Manin and returned there regularly back. He supported after the fall of the Moscow Independent University ( a mathematics competition is named after him there ).
Awards
For his work Deligne has received numerous awards. In 1974 he received the Prize of the Belgian Francois Deruyts Academy of Sciences and in the same year, named after Henri Poincaré Poincaré Medal of the French Academy of Sciences. In addition, he was awarded the Fields Medal in 1978, the 1988 Crafoord Prize ( with Grothendieck ), 2004 the Balzan Prize in 2008 and the Wolf Prize (jointly with Phillip Griffiths and David Mumford ). He is a member of the French Academy of Sciences, the Accademia dei Lincei, the Royal Belgian Academy of Sciences and the American Academy of Arts and Sciences. In 2004 he was made an honorary member of the London Mathematical Society for his monumental contributions to algebraic geometry. In 2013 he was awarded the Abel Prize.