Review of formal connections on a punctured dis
AbstractThe Deligne-Simpson problem asks for the existence of meromorphic G-connections withprescribed local behavior at the poles. l will explain joint work with Zhiwei Yun in which we give asolution to this problem for G-connections on P^1 with two poles, one of which is regular singularwith residue in a fixed nilpotent orbit, the other of which is irregular and satisfies a condition that wec...