Louis de Branges de Bourcia

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Louis de Branges (2003)

Louis de Branges de Bourcia (born August 21, 1932 in Neuilly-sur-Seine ) is a French- American mathematician .

Life

De Branges was born in France to American parents, grew up speaking French and moved to the United States with his mother and sisters in 1941. He studied at the Massachusetts Institute of Technology from 1949 to 1953 and then at Cornell University , where he received his doctorate in 1957 under Harry Pollard and Wolfgang Fuchs ( Local Operators on Fourier Transforms ). He has worked in the Department of Mathematics at Purdue University in West Lafayette (Indiana) since 1963 , where he was a professor. In 1959/60 he was at the Institute for Advanced Study and 1961/62 at the Courant Institute of Mathematical Sciences of New York University .

From 1963 to 1966 he was a Sloan Research Fellow and 1967/68 Guggenheim Fellow.

Services

De Branges became famous in 1985 when he proved the Bieberbach hypothesis . He initially presented the evidence in a 385-page manuscript of the new edition of his book Square Summable Power Series and was disappointed that this received little response from colleagues in the USA and was considered opaque. Only the intensive discussion after a lecture at the Steklow Institute in Leningrad in 1984 with Soviet function theorists ( Isaak Moissejewitsch Milin , Galina Kusmina , AZ Grinshpan, etc.) led to the recognition of the proof, which today can be presented much more briefly. In 1986, de Branges lectured on the ICM in Berkeley.

In 1998 he announced a proof of the Riemann Hypothesis , which, however, contained errors. In 2004, he published a new proof on his website, but the majority of the math community believed it to be incorrect. Another disadvantage for de Branges is that in the past he had repeatedly announced evidence of known suspicions, which then turned out to be incorrect. The proof attempt is based on his theory of Hilbert spaces of whole functions . In this context, he proposed a strategy as early as 1986 to prove the Riemann hypothesis, and the path via de Branges theory has also been followed by other mathematicians such as Jeffrey Lagarias .

Honors

In 1989 he was honored with the award of the Ostrowski Prize . In 1994 he received the Leroy P. Steele Prize of the American Mathematical Society , of which he is a fellow. He was invited speaker at the ICM 1986 ( Underlying concepts in the proof of the Bieberbach conjecture ).

Fonts

  • with James Rovnyak: Square summable power series. Holt, Rinehart and Winston, New York 1966.
  • Hilbert Spaces of Entire Functions. Prentice Hall, 1968.

literature

Web links

Individual evidence

  1. ↑ Louis de Branges de Bourcia in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Acta Mathematica. Vol. 154, 1985, pp. 137-152.
  3. ^ Jacob Korevaar: Ludwig Bieberbach's conjecture and its proof by Louis de Branges. In: American Mathematical Monthly. August / September 1986.
  4. ^ Underlying concepts in the proof of the Bieberbach conjecture. Proceedings of the International Congress of Mathematicians, 1986.
  5. ^ Karl Sabbagh: The strange case of Louis de Branges. 2004.
  6. ↑ de Branges The Riemann hypothesis for Hilbert spaces of entire functions , Bulletin AMS, Volume 15, 1986, pp. 1-17. De Branges The convergence of Euler Products , Journal Functional Analysis, Vol. 107, 1992, pp. 122-210
  7. ↑ Lagarias Hilbert spaces of entire functions and Dirichlet L-functions , in Pierre Cartier et al. a. Frontiers in Number theory, physics and geometry , Volume 1, Springer Verlag 2006


personal data
SURNAME De Branges de Bourcia, Louis
ALTERNATIVE NAMES De Branges, Louis
BRIEF DESCRIPTION French mathematician
DATE OF BIRTH August 21, 1932
PLACE OF BIRTH Neuilly-sur-Seine