The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content

DIS

Seminar

Using q-difference equations study nonabelian H 1over elliptic curves

Sauloy, J (Paul Sabatier Toulouse III)
Tuesday 12 May 2009, 15:00-16:00

Satellite

Abstract

The local analytic classification of $q$-difference equations involves a $q$-analogue of Birkhoff-Malgrange-Sibuya theorem to the effect that the space of isoformal analytic classes is isomorphic to the $H^{1}$ of the so-called "Stokes sheaf", a sheaf of non abelian groups over the elliptic curve $E_{q} := \mathbf{C}^{*}/q^{\mathbf{Z}}$. On the other hand, the local analytic Galois theory of $q$-difference equations involves invariants of a new type, linked to "$q$-alien derivations". I hope to be able to use these new invariants to study the $H^{1}$ of some non abelian sheaves over $E_{q}$.

Presentation

[pdf ]

Video

The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧