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About differential Galois theory

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Speaker: 
Pierre Cartier
Affiliation: 
IHES/MPIM
Date: 
Wed, 2016-02-17 10:30 - 12:00
Location: 
MPIM Lecture Hall

The standard Picart-Vessiot theory for differential
equations works well in the so-called Fuchs case , because Schlesinger
theorem connects algebra and topology . It does not work for such a
simple equation as dy = y.dx . We shall explain how we can solve this
difficulty by replacing a Galois group by a Galois groupoid , thus permitting
to develop a non-linear theory as Malgrange
and Umemura have done.

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