数学学院学术报告

报告题目： Hypercontractivity of heat semigroups on free quantum groups

报告人：Prof. Guixiang Hong (Wuhan University)

时间：2021-04-29 10:00-11:00

地点：Tencent meeting ID：409 757 108

摘要：In this talk, I shall present two semigroups of completely positive unital self-adjoint maps on the von Neumann algebras of the free orthogonal quantum group and the free permutation quantum group, and show that these semigroups satisfy ultracontractivity and hypercontractivity estimates. I also give results regarding spectral gap and logarithmic Sobolev inequalities.

报告人简介：洪桂祥，武汉大学数学与统计学院教授。研究方向为调和分析，非交换概率论，遍历论，算子代数。在 Duke Math., Analysis & PDE等国际著名数学期刊上发表10多篇论文。

邀请人：张安 

欢迎大家参加！