Sep 12 – 14, 2022
Toulouse
Europe/Paris timezone

Matzat's conjecture in differential Galois theory

Sep 13, 2022, 1:30 PM
40m
Toulouse

Toulouse

Amphithéâtre Laurent Schwartz, Bat 1R3, UPS

Speaker

Mr Michael Wibmer (Graz University of Technology)

Description

Determining the absolute differential Galois group of interesting differential fields is a central problem in differential Galois theory. For the fields of formal and convergent Laurent series the solution is well-known, but the classical case of rational functions has long resisted a solution. Matzat's conjecture predicts the structure of the absolute differential Galois group of the rational function field, and more generally, of one-variable function fields. In this talk, I will review recent progress towards Matzat's conjecture.

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