Аннотация:
Gieseker moduli spaces are especially nice and important examples of Nakajima quiver varieties. One can quantize them using quantum Hamiltonian reduction and get associative algebras that generalize type A Rational Cherednik algebras. The latter algebras were extensively studied in the last decade, but the general case has been untouched until very recently. I will explain what I know about the representation theory in the general case. This is based on my work in preparation/in progress.
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