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Speaker:
Pieter Belmans
Affiliation:
Luxembourg
Date:
Thu, 29/06/2023 - 10:30 - 11:30
Location:
MPIM Lecture Hall
Parent event:
Seminar Algebraic Geometry (SAG) Vector bundles on curves and quiver representations have moduli theories that are very similar. Inspired by this connection, I will recall the canonical 4-term sequence on quiver moduli and its relationship to the Kodaira-Spencer morphism. This sequence can be used to prove a conjecture of Schofield, establish the rigidity of quiver moduli, and show that the universal representation furnishes a fully faithful Fourier-Mukai functor. The stacky perspective of these moduli spaces and Teleman quantization play an important role. If time permits, I will also discuss the Chow rings of quiver moduli. This combines various joint works-in-progress with Ana-Maria Brecan, Hans Franzen, Gianni Petrella, and Markus Reineke.
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