MATH 7364, Topics in Representation theory: Symplectic reflection algebras (Fall 2012)
Program
Lecture 1, Kleinian singularities: Notes, Problems
Lecture 2, CBH algebras: Notes, Problems
Lecture 3, McKay correspondence, upgraded: Notes, Problems
Lecture 4, Deformed preprojective algebras: Notes, Problems
Lecture 5, Deformed preprojective algebras, cont'd: Notes, Problems
Lecture 6, Symplectic reflection algebras: Notes, Problems
Lecture 7, Hochschild cohomology and deformations: Notes, Problems
Lecture 8, Spherical SRA: Notes, Problems
Lecture 9, Commutativity and centers: Notes, Problems
Lecture 10, Moment maps in the algebraic setting: Notes, Problems
Lecture 11, Calogero-Moser system and Hamiltonian reduction: Notes, Problems
Lecture 12, CM systems and Quantum Mechanics: Notes, Problems
Lecture 13, Quantum CM systems and Rational Cherednik algebras: Notes, Problems
Lecture 14, Quantum Hamiltonian reductions vs SRA: Notes, Problems
Lecture 15, Quotient singularities as quiver varieties: Notes, Correction, Problems
Lecture 16, Symplectic resolutions and their deformations: Notes, Problems
Lecture 17, Procesi bundles and their deformations: Notes, Problems
Lecture 18, Category O for RCA: Notes, Problems, Even more problems
Lecture 19, KZ functor, part I: Notes, Problems
Lecture 20, KZ functor, part II: Notes
Lecture 21, Induction and restriction functors: Hand-written notes
Lecture 22, Induction and restriction, cont'd: Hand-written notes
Lecture 23, Categorical Kac-Moody actions: Hand-written notes