Title: Quantum differentiation and integration for the quantum plane
Speaker: Fedor Sukochev（University of New South Wales）
Time: Wednesday, June 1, 2022, 16:00-17:30 (UTC+8).
Location: Room 201, Ming De Building.
Online access: Zoom Meeting ID: 824 7045 6491, Password: 123399, link：https://zoom.us/j/82470456491?pwd=dGswU3d3RGd1L1d4a3ZvSXdnakVkUT09
Abstract：We explain recent results concerning (quantum) differentials and integrals on the noncommutative (Moyal) plane. We give full characterisation of elements on the noncommutative (Moyal) plane such that their quantum derivatives belong to the weak Schatten class , which means that these derivatives are d-times integrable in the quantum integration sense. We then calculate the quantum integration of these derivatives by adapting Connes' integration formulae to the noncommutative (Moyal) plane. This is a joint work with E. McDonald and X. Xiong.
Quantum differentiation and integration for the quantum plane.pdf
More information about the Functional Analysis Seminar can be found here.
