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SUMMARY:Quasi-universal sheaves and generic bricks - Emily Cliff (Universi
 té de Sherbrooke)
DTSTART:20240124T141500Z
DTEND:20240124T151500Z
UID:TALK208066@talks.cam.ac.uk
DESCRIPTION:This is based on joint work-in-progress with Colin Ingalls and
  Charles Paquette. Given a finite-dimensional algebra\, we can associate a
  quiver and choose a dimension vector. Work of Alistair King shows that\, 
 if the dimension vector is unimodular\, there is a moduli space of stable 
 representations with a universal sheaf. Work of Reineke&ndash\;Schr&ouml\;
 er and Hoskins&ndash\;Schaffhauser shows that this does not hold for all d
 imension vectors\; in general\, we obtain only a &ldquo\;quasi-universal s
 heaf&rdquo\;. I will discuss this construction from several perspectives\,
  and explain applications to the representation theory of finite-dimension
 al algebras.
LOCATION:Seminar Room 1\, Newton Institute
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