Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry
Algebraic Geometry
2021-05-18 v2 Representation Theory
Abstract
These lecture notes consist of an introduction to moduli spaces in algebraic geometry, with a strong emphasis placed on examples related to the theory of quiver representations. The goal is to provide the background necessary to understand the construction of the moduli spaces of stable and semistable quiver representations due to King, Nakajima's quiver varieties, as well as some 'quiver versions' of existing moduli spaces of algebra-geometric objects.
Cite
@article{arxiv.1909.03509,
title = {Lecture Notes on Quiver Representations and Moduli Problems in Algebraic Geometry},
author = {Alexander Soibelman},
journal= {arXiv preprint arXiv:1909.03509},
year = {2021}
}
Comments
82 pages, lecture notes based on a 2019 graduate course taught at Aarhus University, corrected minor errors and typos