483 citations · 1.7k across the 181 of their papers we have counts for
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Poisson traces in positive characteristic
Yongyi Chen, Pavel Etingof, David Jordan +1
We study Poisson traces of the structure algebra A of an affine Poisson variety X defined over a field of characteristic p. According to arXiv:0908.3868v4, the dual space HP_0(A) t…
Orthogonality relations and Cherednik identities for multivariable Baker-Akhiezer functions
Oleg Chalykh, Pavel Etingof
We establish orthogonality relations for the Baker-Akhiezer (BA) eigenfunctions of the Macdonald difference operators. We also obtain a version of Cherednik-Macdonald-Mehta integra…
Poisson traces for symmetric powers of symplectic varieties
P. Etingof, T. Schedler
We compute the space of Poisson traces on symmetric powers of affine symplectic varieties. In the case of symplectic vector spaces, we also consider the quotient by the diagonal tr…
Reductions of tensor categories modulo primes
Pavel Etingof, Shlomo Gelaki
We study good (i.e., semisimple) reductions of semisimple rigid tensor categories modulo primes. A prime p is called good for a semisimple rigid tensor category C if such a reducti…
Descent and forms of tensor categories
Pavel Etingof, Shlomo Gelaki
We develop a theory of descent and forms of tensor categories over arbitrary fields. We describe the general scheme of classification of such forms using algebraic and homotopical…
Computational approaches to Poisson traces associated to finite subgroups of Sp(2n,C)
Pavel Etingof, Sherry Gong, Aldo Pacchiano +2
We reduce the computation of Poisson traces on quotients of symplectic vector spaces by finite subgroups of symplectic automorphisms to a finite one, by proving several results whi…