Speaker: Prof. Umesh Dubey: HRI
Title: A functorial construction of moduli of parabolic sheaves.
Abstract:
The moduli construction for vector bundle over smooth projective curves due
to Mumford and Seshadri was extended to moduli of torsion-free sheaves over
higher dimensional varieties by Gieseker and Maruyama. Simpson later
generalized it to the moduli of pure sheaves on higher dimension projective
schemes and Langer extended it to mixed characteristics.
Alvarez-Consul and King used embedding of the category of regular
sheaves to the category of Kronecker representations to get a functorial
moduli construction of pure sheaves.
In this talk, we will briefly describe the construction of the Consul and
King. If time permits, we will also mention the related results obtained
jointly with Sanjay Amrutiya for parabolic sheaves using the moduli of
filtered Kronecker representations.