# Arithmetic and Galois Theories of Differential Equations

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*Lucia Di Vizio; Tanguy Rivoal*

A publication of the Société Mathématique de France

This volume contains the proceedings of the summer school
Galoisian and Arithmetic Theory of Differential Equations, held at the
CIRM in Luminy from September 21 to September 25, 2009. This school
brought together mathematicians from various areas of research, united
by their interest in ordinary differential equations, particularly
those that arise in arithmetic.

This volume consists of five surveys, corresponding to the five
lecture courses given during the school, plus six original papers,
corresponding to research talks also given on this occasion. The
volume also contains a reworking, by B. Chiarellotto, G. Gerotto, and
F. J. Sullivan, of notes of the lectures on exponential modules given
by B. M. Dwork at the University of Padova in 1994.

A publication of the Société Mathématique de France, Marseilles (SMF), distributed by the AMS in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF. Members of the SMF receive a 30% discount from list.

#### Readership

Graduate students and research mathematicians interested in arithmetic and Galois theories of differential equations.