Moduli spaces of meromorphic connections and their symmetries (4)


Daisuke Yamakawa

15:00:00 - 15:50:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

It has been well-known since the work of Okamoto that some two dimensional moduli spaces of meromorphic connections on the projective line with prescribed local data at each singularity have affine Weyl group symmetries. In my lectures I will briefly explain the ``graphical'' construction of moduli spaces of meromorphic connections developed by Crawley-Boevey and Boalch, which relates meromorphic connections with possibly one (unramified) irregular singularities and arbitrary number of regular singularities to a certain class of graphs including affine Dynkin graphs appearing in the work of Okamoto.