Tuesday, March 14, 14:00, 7.527.


Hans Franzen (Paderborn), Rigidity of smooth projective quiver moduli spaces.

Abstract:
For a quiver without oriented cycles, a dimension vector and a stability parameter which satisfies certain genericity conditions the moduli space of semi-stable representations is smooth and projective and possesses universal bundles. We compute global sections of these bundles using framing constructions and show that their higher cohomology vanishes with the help of Teleman's quantization theorem. From these results we deduce rigidity. The talk is based on ongoing joint work with Pieter Belmans, Ana-Maria Brecan, Gianni Petrella, and Markus Reineke.