Open Collections

Description

For a semisimple group G and a smooth curve C, open zastava space Z(G,C) is a smooth variety, affine over a configuration space of C. In case C is the additive or multiplicative group, Z(G,C) is isomorphic to a moduli space of euclidean or periodic monopoles. It carries a natural symplectic form, and the projection to the configuration space is an integrable system (open Toda lattice for G=SL(2)). I will explain what happens when C is an elliptic curve. This is a joint work with Mykola Matviichuk and Alexander Polishchuk.