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Seminars

Algebraic Geometry Seminar

Chow rings, geometry and derived categories of quiver moduli

2024/02/06 (Tue.) 15:30~17:30
  • Date : 2024/02/06 (Tue.) 15:30~17:30
  • Location : online
  • Speaker : Pieter Belmans (University of Luxembourg)
  • Organizer : Arkadij Bojko Email: abojko (at) gate (dot) sinica (dot) edu (dot) tw
  • Website : https://wiki.preschema.com/ag-seminar
  • Abstract :  The canonical 4-term sequence on moduli spaces of quiver representations is an important tool to study their geometry. First I will use it to describe the Chow ring in more detail. Next, I will use it to prove the rigidity of quiver moduli, and describe their infinitesimal symmetries. Finally, I will use it to establish Schofield's partial tilting conjecture, and obtain a fully faithful Fourier-Mukai functor. The stacky perspective of these moduli spaces, and Teleman quantization, plays an important role. This surveys several joint works with Ana-Maria Brecan, Hans Franzen, Gianni Petrella, and Markus Reineke.
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