Bernadette Perrin-Riou

Bernadette Perrin-Riou (born August 1, 1955 in Les Vans , Ardèche ) is a French mathematician who deals with number theory and algebraic geometry.

Perrin-Riou is the daughter of a chemist and a physicist and grew up in Neuilly-sur-Seine . From 1974 she studied at the École normal supérieure (ENS; then still École normal supérieure des Jeunes Filles, today united with the ENS), where she graduated in 1979 (Thèse de 3ème Cycle) with Georges Poitou . In 1983 she received her doctorate from the University of Paris-Süd in Orsay with John Coates with Arithmétique des courbes elliptiques et théorie d'Iwasawa . She also attended lectures by Roger Godement on module functions that influenced the direction of her research. From 1978 she was an assistant at the University of Paris VI (Pierre et Marie Curie), where she then became Maître de conférences in 1983 (and visiting professor at Harvard University in the same year ) and professor. In 1994 she moved to the University of Paris-South in Orsay.

Perrin-Riou dealt with -adic representations and -adic functions and their connections to Iwasawa theory and to the arithmetic of elliptic curves. In the grounds for the 1999 Satter Prize, her work on a p-adic analogue of the Gross - Zagier formula and the analogue of Birch and Swinnerton-Dyer's conjecture , which had surprising applications to the arithmetic of elliptic curves, was highlighted, as was their fundamental work on p-adic representations (where she built on the work of Jean-Marc Fontaine ) and motifs that would have led to a better understanding of the Bloch - Kato conjectures and established a connection between p-adic L-functions and Euler systems by Kato . Your work would have a great influence on the future direction of research on p-adic L-functions and Iwasawa theory. ${\displaystyle p}$ ${\displaystyle p}$ ${\displaystyle L}$

In 1998 she received the de Freycinet Prize from the French Academy of Sciences. In 1999 she received the Ruth Lyttle Satter Prize . In 1994 she was a speaker at the ICM in Zurich (Fonctions L p-adique).

Fonts

• Perrin-Riou P-adic L-functions and p-adic representations , American Mathematical Society 2000 (first French Fonctions L p-adiques des représentations p-adiques , SMF 1995)

Individual evidence

1. ↑ published as mémoire 17 de la Soc. Math. France 1984
2. ↑ Perrin-Riou in the reply to the Satter Prize 1999, Notices AMS
3. ^ Laudatory speech for the Satter Prize, Notices American Mathematical Society, April 1999

Web links

• Laudation Satter Prize and its reply, Notices AMS 1999, PDF file (34 kB)
• Homepage at the University of Paris
• John J. O'Connor, Edmund F. Robertson :  Bernadette Perrin-Riou. In: MacTutor History of Mathematics archive .