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The course aims to introduce learners to quiver moduli spaces from a representation theory perspective, covering their construction using Geometric Invariant Theory and exploring various examples. It reviews the topology and geometry of these spaces, focusing on their cohomology, and discusses applications to Gromov-Witten and Donaldson-Thomas theory through wall-crossing. The course teaches skills in understanding algebraic varieties, representation theory, and applications to advanced mathematical theories. The teaching method involves lectures and theoretical discussions. This course is intended for students and professionals interested in algebraic geometry, representation theory, and advanced mathematical applications.
