## Calendar Entry

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*Feb 20, 2017 - Feb 20, 2017*

*15:30 - 18:00*

### Details

This Maxwell Institute colloquium will be held in the Newhaven Lecture Theatre, Level 4, at ICMS, 15 South College Street, Edinburgh, EH8 9AA.

**Pierre Cartier **

https://en.wikipedia.org/wiki/Pierre_Cartier_(mathematician)*A non commutative Galois theory for differential equations*

The Picard-Vessiot theory is a well-known extension of Galois theory to differential equations; there exists also a similar theory for difference equations. Following Hiroshi Umemura, we develop a similar theory for systems of difference-differential equations. The interesting new feature is that the corresponding Galois group is a quantum group. In order to achieve this, we have to reformulate everything in terms of Hopf algebras: a quantum group corresponds to a Galois-Hopf algebra, which is neither commutative, nor cocommutative, a completely new feature.

The talk will be followed by an informal wine reception from 17.00-18.00.