报告题目：Quantum differentiability on quantum tori and quantum Euclidean spaces

报告人：熊枭 教授 （哈尔滨工业大学数学研究院）

报告时间：2020年8月13日（星期四）下午16：00-17：00

报告地点：腾讯视频会议（线上）

          会议ID：723 572 521 会议密码：202813

校内联系人：江永乐 联系电话：84708351-8033

报告摘要：The core ingredients of the quantized calculus, introduced by A. Connes, are a separable Hilbert space H, a unitary self-adjoint operator F on H and a C∗-algebra A represented on H such that for all a \in A the commutator [F, a] is a compact operator on H. Then the quantized differential of a \in A is defined to be the operator da = i[F, a]. We provide a full characterization of quantum differentiability in the sense of Connes on quantum tori T_{\theta}^d and quantum Euclidean spaces R_{\theta}^d. We also prove a quantum integration formula which differs substantially from the commutative case.
          Based on joint work with Edward McDonald and Fedor Sukochev

报告人简介：熊枭，2015年获得法国弗朗什-孔泰大学博士学位，现为哈尔滨工业大学数学研究院教授, 主要从事调和分析、非交换分析及其应用等方向的研究工作，已在Comm. Math. Phys., Mem. Amer. Math. Soc.，Indiana Univ. Math. J.，Adv. Math.，J. Funct. Anal.，J. Operator Theory等国际主流数学期刊发表论文多篇。