Jacob Murre

Jacob Murre, Oberwolfach 2004

Jacob Pieter Murre (born September 18, 1929 in Baarland ) is a Dutch mathematician who deals with algebraic geometry .

Murre received his doctorate in 1957 under Hendrik Kloosterman at the University of Leiden ( Over Multipliciteiten van maximaal seed-hanging bossen ). From 1954 to 1956 he was with André Weil at the University of Chicago, where Kloosterman had sent him to learn modern algebraic geometry. The dissertation he completed afterwards showed that the total transformation of a smooth point in a birational transformation is linearly connected. At first he was still working in the context of Weil's theory of algebraic varieties, but during a visit to the USA in 1960, Weil advised him to join Grothendieck's school and his theory of schemes . Murre had already met Grothendieck and was impressed by his research plans and progress in the field of Picard varieties in positive characteristics, an area in which he worked himself at the time and which was very topical at the time ( Jun-Ichi Igusa , Weil and others). In 1962 he was in the Grothendieck seminar, which was still taking place in Paris at the time, and a collaboration with Grothendieck developed. Apart from brief visits and correspondence, he was only longer at IHES near Grothendieck in 1963 and 1967 , since he had meanwhile become a professor in Leiden (in 1959 he became a lecturer and in 1961 he was given a full professorship, after being employed as an assistant in 1951 and a permanent position in 1956 had been). In 1994 he retired.

In 1964/65 he was visiting professor at the Tata Institute of Fundamental Research , where he lectured on the Etale Fundamental Group , in 1973 at Cambridge University, in 1986 at the University of Chicago, in 1994 at Caltech , in 1995 in Münster and Oklahoma.

He published a lengthy paper in 1971 on the tame fundamental group of a normal point in a two-dimensional scheme analogous to the more classical treatment by David Mumford . Later he dealt with the theory of motifs, which also goes back to Grothendieck .

In 1971 he became a member of the Royal Netherlands Academy of Sciences . In 2002 he received an honorary doctorate from the University of Turin and in 2004 a member of the Turin Academy of Sciences.

Fonts

• with Jan Nagel, Chris Peters : Lectures on the theory of pure motives, American Mathematical Society 2013
• with Alexander Grothendieck: The Tame Fundamental Group of a Formal Neighborhood of a Divisor with Normal Crossings on a Scheme, Lecture Notes in Mathematics 208, Springer 1971
• Lectures on an introduction to Grothendieck's theory of the fundamental group, Bombay, Tata Institute of Fundamental Research 1967
• Remembering Grothendieck (interview), Nieuw Archief voor Wiskunde, March 2016 (and EMS Newsletter June 2015), pdf

Web links

• curriculum vitae

Individual evidence

1. ^ Jacob Murre in the Mathematics Genealogy Project (English)
2. ↑ Grothendieck dealt with it at the beginning of the 1960s in the Séminaire Nicolas Bourbaki and constructed the Picard scheme and the Picard functor in it, which Murre then pursued further.