Some examples related to the Deligne-Simpson problem
Abstract
Description
We consider the variety of $(p+1)$-tuples of matrices $M_j$ from given conjugacy classes from $GL(n,{\bf C})$ such that $M_1... M_{p+1}=I$. This variety is connected with the Deligne-Simpson problem and the matrices $M_j$ are interpreted as monodromy operators of regular systems on Riemann's sphere. We consider among others cases when the dimension of the variety is higher than the expected one due to the presence of $(p+1)$-tuples with non-trivial centralizers.
To appear in the proceedings of the Second International Confer ence on Geometry, Integrability and Quantization
To appear in the proceedings of the Second International Confer ence on Geometry, Integrability and Quantization