- BIMSA-Tsinghua量子对称讨论班

Noncommutative Functional Inequalities and their Applications to the Quantum KKL-conjecture

组织者

黄林哲 , 刘正伟 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

演讲者

Sijie Luo

时间

2025年05月21日 10:30 至 12:00

地点

A3-3-301

线上

Zoom 242 742 6089 (BIMSA)

摘要

This talk will focus on our recent advancements in noncommutative functional inequalities. Firstly, I will provide an overview of the background and motivations behind the development of functional inequalities. Some well-known results, such as Poincare inequality, log-Sobolev inequality, and Talagrand inequality, will be recalled. Next, I will discuss our recent results on the noncommutative functional inequalities, including the noncommutative Eldan-Gross inequality and the p-log-Sobolev inequality for general noncommutative hypercontractive semigroups. Finally, I will conclude the talk by showing how our results can be applied to provide an alternative answer to the quantum KKL conjecture. This talk is based on the joint work of J. Yong, D. Zanin, and D. J. Zhou