## 2013 Abel Prize

[Cliff Moore]

The Norwegian Academy of Science and Letters this morning announced the recipient of its 2013 Abel Prize, the eleventh one awarded. With mathematicians so rarely in the news, I have made it a point here at Ron’s View each year to write a post about the award. (Click on the following links for 2009, 2010, 2011, and 2012.) This year’s recipient is Pierre Deligne, professor emeritus at the Institute for Advanced Study in Princeton.

As I explain each year, the Abel Prize was established in 2001 by the Norwegian government to be the counterpart in mathematics to the Nobel Prizes in other disciplines. It has been awarded by the Norwegian Academy of Science and Letters each year since 2003 to one or two outstanding mathematicians and honors the great, early-nineteenth-century Norwegian mathematician Niels Abel.

Regarding Deligne, here is a passage from the announcement of the award:

Pierre Deligne is a research mathematician who has excelled in finding connections between various fields of mathematics. His research has led to several important discoveries. Deligne’s best known achievement is his spectacular solution of the last and deepest of the Weil conjectures. This earned him both the Fields Medal (1978) and the Crafoord Prize (1988), the latter jointly with Alexandre Grothendieck.

Deligne’s brilliant proof of the Weil conjecture made him famous in the mathematical world at an early age. This first achievement was followed by several others that demonstrate the extreme variety as well as the difficulty of the techniques involved and the inventiveness of the methods. He is best known for his work in algebraic geometry and number theory, but he has also made major contributions to several other domains of mathematics.

The Abel Committee says: “Deligne’s powerful concepts, ideas, results and methods continue to influence the development of algebraic geometry, as well as mathematics as a whole”.

[snip]

Deligne was only 12 when he started to read his brother’s university math books. His interest prompted a high-school math teacher, J. Nijs, to lend him several volumes of “Éléments de mathématique” by Nicolas Bourbaki, the pseudonymous grey eminence of French mathematics. For the 14-year old Deligne this became a life changing experience. His father wanted him to become an engineer and to pursue a career that would afford him a good living. But Deligne knew early on that he should do what he loved, and what he loved was mathematics. He went to the University of Brussels with the ambition of becoming a high school teacher, and of pursuing mathematics as a hobby for his own personal enjoyment. There, as a student of Jacques Tits, Deligne was pleased to discover that, as he says, “one could earn one’s living by playing, i.e. by doing research in mathematics”.

Deligne announced the proof of the last and most difficult part of the Weil Conjectures when I was a graduate student. His work was well over my head, but everyone was talking about it. I had friends who were algebraic geometers, my advisor was himself a leading algebraic geometer, I was taking courses in the field. And one thing was clear, that Deligne was one of the great mathematical geniuses of our time. Just over a dozen years later, I would spend the year at the Institute, with Pierre a constant and inspiring presence. His selection enhances the prize as much as it honors him.

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