REPRESENTATION THEORY AND RELATED TOPICS SEMINAR

Ivan Losev

ABSTRACT: The talk is based on an ongoing joint work with Roman Bezrukavnikov. Several years ago, Etingof conjectured a formula for the number of finite dimensional irreducible modules for certain symplectic reflection algebras that are also special quantum Hamiltonian reductions (QHR) associated to quivers. I will explain a straightforward generalization of his conjecture and then explain why the number of irreducibles is not less than the number given by the conjecture. The proof is based on a "quantum categorical" version of Nakajima's construction due to Webster.