## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Tuesday, November 22, 2022 — 12:30 PM EST

**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

Event tags

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x43484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Office of Indigenous Relations.