Nomura have offered themselves up for an hour to network with any DPhil students that are interested in a role with
them, so please don't hesitate to come over an have a chat with them. They are providing a "speed networking" set of 3 sessions with their eTrading, Quant Research and Desk Strat teams at Nomura, for interested mathematical PhD students.
14:15
A functorial approach to quantization of symplectic singularities
Abstract
Namikawa has shown that the functor of flat graded Poisson deformations of a conic symplectic singularity is unobstructed and pro-representable. In a subsequent work, Losev showed that the universal Poisson deformation admits, a quantization which enjoys a rather remarkable universal property. In a recent work, we have repackaged the latter theorem as an expression of the representability of a new functor: the functor of quantizations. I will describe how this theorem leads to an easy proof of the existence of a universal equivariant quantizations, and outline a work in progress in which we describe a presentation of a rather complicated quantum Hamiltonian reduction: the finite W-algebra associated to a nilpotent element in a classical Lie algebra. The latter result hinges on new presentations of twisted Yangians.
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