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Supports of irreducible spherical representations of rational Cherednik algebras of finite Coxeter groups
Pavel Etingof
We determine the support of the irreducible spherical representation (i.e., the irreducible quotient of the polynomial representation) of the rational Cherednik algebra of a finite…
Fusion categories and homotopy theory
Pavel Etingof, Dmitri Nikshych, Victor Ostrik +1
We apply the yoga of classical homotopy theory to classification problems of G-extensions of fusion and braided fusion categories, where G is a finite group. Namely, we reduce such…
On Hele-Shaw problems arising as scaling limits
Pavel Etingof
We discuss conjectural scaling limits of discrete 2-dimensional aggregation models conditioned on a semi-axis considered by Levine and Peres in arXiv:0712.3378. These are certain p…
Poisson traces and D-modules on Poisson varieties
Pavel Etingof, Travis Schedler, Ivan Losev
To every Poisson algebraic variety X over an algebraically closed field of characteristic zero, we canonically attach a right D-module M(X) on X. If X is affine, solutions of M(X)…
Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
Pavel Etingof, Travis Schedler
Let X be a surface with an isolated singularity at the origin, given by the equation Q(x,y,z)=0, where Q is a weighted-homogeneous polynomial. In particular, this includes the Klei…
A uniform proof of the Macdonald-Mehta-Opdam identity for finite Coxeter groups
Pavel Etingof
We give a new proof of the Macdonald-Mehta-Opdam integral identity for finite Coxeter groups. This identity was conjectured by Macdonald and proved by Opdam in 1993 using the theor…