7. Rational Cherednik algebras and Hecke algebras for varieties with group actions
Lecture notes on rational Cherednik algebras, Hecke algebras for varieties with group actions, twisted diﬀerential operators, some algebraic geometry preliminaries, the Cherednik algebra of a variety with a ﬁnite group action, globalization, modiﬁed Cherednik algebra, orbifold Hecke algebras, Hecke algebras attached to Fuchsian groups, Hecke algebras of wallpaper groups and del Pezzo surfaces, the Knizhnik-Zamolodchikov functor, the simplest case of double aﬃne Hecke algebras, aﬃne and extended aﬃne Weyl groups, Cherednik’s double aﬃne Hecke algebra of a root system, and algebraic ﬂatness of Hecke algebras of polygonal Fuchsian groups.
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