14 citations · 61 across the 22 of their papers we have counts for
5 papers · 1 filter
Algebraic groups as difference Galois groups of linear differential equations
Annette Bachmayr, Michael Wibmer
We study the inverse problem in the difference Galois theory of linear differential equations over the difference-differential field with derivation …
Solving difference equations in sequences: Universality and Undecidability
Gleb Pogudin, Thomas Scanlon, Michael Wibmer
We study solutions of difference equations in the rings of sequences and, more generally, solutions of equations with a monoid action in the ring of sequences indexed by the mon…
Model Theory of Proalgebraic Groups
Anand Pillay, Michael Wibmer
We lay the foundations for a model theoretic study of proalgebraic groups. Our axiomatization is based on the tannakian philosophy. Through a tensor analog of skeletal categories w…
Free differential Galois groups
Annette Bachmayr, David Harbater, Julia Hartmann +1
We study the structure of the absolute differential Galois group of a rational function field over an algebraically closed field of characteristic zero. In particular, we relate th…
Free Proalgebraic Groups
Michael Wibmer
Replacing finite groups by linear algebraic groups, we study an algebraic-geometric counterpart of the theory of free profinite groups. In particular, we introduce free proalgebrai…