Algebraic Geometry Working Seminar

Aiden Suter, Department of Pure Mathematics, University of Waterloo

"A brief overview of algebraic Fedosov quantization"

Deformation quantization is the process of constructing non-commutative algebras from commutative algebras such that the original commutative algebra may be obtained as a “limit” of the non-commutative algebra. In particular, one is often interested in quantising the sheaf of functions of a geometric space to produce a sheaf of “quantum functions”. Such constructions are often applied in mathematical physics and geometric representation theory. Fedosov quantization refers to one such method of deformation quantization originally developed in the context of symplectic geometry, but has since been adapted to holomorphic and algebraic settings among others. In this talk I will give an overview of deformation quantization in the algebraic setting, outlining the primary objects required to discuss this procedure as well as the main results regarding the set of quantisations of certain spaces.

This seminar will be held jointly online and in person:

• Room: MC 5403
• Zoom information: Meeting ID: 817 1030 9714; Passcode: 063438