3-7 December 2018
RIMS Kyoto
Asia/Tokyo timezone

The foliated topology and higher differential Galois theory

5 Dec 2018, 10:45
Room 420 (RIMS Kyoto)

Room 420

RIMS Kyoto

Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502 JAPAN


Joseph Ayoub


The foliated topology is a direct analog of the étale topology in the category of schematic foliations. In the same way that étale topology is related to Galois theory, the foliated topology is related to differential Galois theory. However, in the latter context, a new phenomenon appears: differential fields tend to have higher differential Galois groups. I will report on some computations of higher differential Galois groups and, if time permits, I will describe a interesting open question.

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