Welcome to MAT 641: Quiver representations
Date and time: MWF 9:35am10:30am in Physics P117 MW 1011:20 in Math P131.
Planned topics:
 Basic notions of quiver representations. Path algebra, etc.
 Gabriel's theorem. Reflection functors.
 Hall algebra and construction of basis
in universal enveloping algebra from quiver representations
 Quiver varieties (Nakajima, Lusztig)
Prerequisites:
 Basic homological algebra (Ext functors)
 Basic algebraic geometry (notion of algebraic variety, sheaf)
 Familiarity with root systems and semisimple Lie algebras (optional)
Familiarity with the notion of derived category would be quite
helpful, but not required (I will give a brief review).
