题目:Quantum differentiation and integration for the quantum plane
报告人:Fedor Sukochev (澳大利亚新南威尔士大学)
时间:2022年6月1日(星期三),16:00-17:30
地点:哈工大明德楼B区201报告厅
Zoom会议:会议号:824 7045 6491,会议密码:123399,链接:https://zoom.us/j/82470456491?pwd=dGswU3d3RGd1L1d4a3ZvSXdnakVkUT09。
摘要: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
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