Speaker
Prof.
Pieter Belmans
Description
Moduli spaces of vector bundles on a curve are a classical and well-studied class of Fano varieties, with many interesting properties. Moduli spaces of quiver representations of an acyclic quiver are likewise (almost) Fano, with many interesting properties. There exists a rich dictionary between the two types of moduli spaces, explaining how phenomena for moduli of bundles have an analogue for moduli of representations, and vice versa. Sometimes the analogy informs us what to expect on the curve side, sometimes it informs us what to expect on the quiver side. I will survey aspects of this dictionary, and describe some important open problems for these.
Primary author
Prof.
Pieter Belmans
