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BIMSA-Tsinghua Quantum Symmetry Seminar
Noncommutative Functional Inequalities and their Applications to the Quantum KKL-conjecture
Noncommutative Functional Inequalities and their Applications to the Quantum KKL-conjecture
Organizers
Speaker
Sijie Luo
Time
Wednesday, May 21, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
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