39 citations · 118 across the 17 of their papers we have counts for
5 papers · 1 filter
On exceptional rigid local systems
Michael Dettweiler, Stefan Reiter
We prove new instances of Simpson's rigidity conjecture which states that quasi-unipotent rigid local systems should be motivic. We construct new relative motives over the fourfold…
Painlevé equations and the middle convolution
Michael Dettweiler, Stefan Reiter
We use the middle convolution to obtain some old and new algebraic solutions of the Painlevé VI equations.
Galois realizations of classical groups and the middle convolution
Michael Dettweiler
We study the middle convolution of local systems on the punctured affine line in the setting of singular cohomology and in the setting of étale cohomology. We derive a formula to c…
On globally nilpotent differential equations
Michael Dettweiler, Stefan Reiter
In a previous work of the authors, a middle convolution operation on the category of Fuchsian differential systems was introduced. In this note we show that the middle convolution…
Rigid local systems and relative motives with Galois group G_2
Michael Dettweiler, Stefan Reiter
We classify rigid local systems of rank 7 whose monodromy group is dense in the simple algebraic group of type G2. This leads to motives with Galois group G2.