Alain Connes is a French mathematician and theoretical physicist who works in operator algebras and noncommutative geometry. He was born on 1 April 1947 in Draguignan, a town near Cannes in the Provence region of southeast France, entered the École Normale Supérieure in Paris in 1966 and graduated in 1970. His thesis, A classification of factors of type III, concerned von Neumann algebras and was supervised by Jacques Dixmier. He was appointed professor at the Institut des Hautes Études Scientifiques at Bures-sur-Yvette in 1979, spent eight years as director of research at the Centre National de la Recherche Scientifique, and also holds a professorship at the Collège de France.
Facts
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Conjectures Posed
Source Baum-Connes conjecture (Wikipedia)
Source Connes Embedding Problem, Wikipedia
In Branch
Source MacTutor biography of Alain Connes, St Andrews
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Source MacTutor biography of Alain Connes, St AndrewsSummaryQuote, Summary
Alain Connes is a French mathematician and theoretical physicist who works in operator algebras and noncommutative geometry.
Sources
1. MacTutor biography of Alain Connes, St Andrews
Quick Info: Born
1 April 1947
Biography
He held this post for eight years.
In Branch: Operator Theory, Summary
Alain Connes is a French mathematician and theoretical physicist who works in operator algebras and noncommutative geometry.
View the Source2. International Mathematical Union: Fields Medal
International Mathematical UnionThe Fields Medalists, chronologically listedQuote, The Fields Medalists, chronologically listed
Alain Connes
View the Source Connes Embedding Problem, Wikipedia
Conjectures Posed: Connes Embedding Problem, Lead sectionQuote, Conjectures Posed: Connes Embedding Problem, Lead section
Connes' embedding problem, formulated by Alain Connes in the 1970s, is a major problem in von Neumann algebra theory.
View the Source Baum-Connes conjecture (Wikipedia)
Conjectures Posed: Baum-Connes Conjecture, HistoryQuote, Conjectures Posed: Baum-Connes Conjecture, History
Paul Baum and Alain Connes introduced the following conjecture (1982) about this morphism
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