報告題目：數(shù)學與統(tǒng)計學院基礎數(shù)學研究中心系列報告

報告人:  Nguyen Lam、 李俊鋼

講座日期：2021-09-17

講座時間：08:00

報告地點： Zoom Meeting ID: 570 368 5183 Passcode: 123456

主辦單位：數(shù)學與統(tǒng)計學院，基礎數(shù)學研究中心

講座題目1：Sharp Uncertainty Principles

報告人: Nguyen Lam

講座時間：08:00

講座內容簡介：

Uncertainty Principles are at the foundation of quantum mechanics. In this talk, we discuss the sharp constants and optimizers of the uncertainty principles and the L2-Caffarelli-Kohn-Nirenberg inequalities for scalar functions as well as for curl-free vector fields. We also address quantitative stability results for the Heisenberg-Pauli-Weyl inequality. This is joint work with Cristian Cazacu and Joshua Flynn.

講座人簡介： Nguyen Lam,現(xiàn)任加拿大紐芬蘭紀念大學(Memorial University of Newfoundland) Assistant Professor, 幾何不等式專家。 主要研究方向包括Hardy不等式，Trudinger-Moser不等式， Caffarelli-Kohn-Nirenberg 不等式等。相關研究工作發(fā)表在Adv. Math, T. Am. Math. Soc., Proc. Amer. Math. Soc., J. Geom. Anal 等國際著名期刊共50余篇，并獲得加拿大NSERC Discovery Grant.

講座題目2：Moser-Trudinger inequalities on Riemannian manifolds

報告人: 李俊鋼

講座時間：10:00

講座內容簡介：

In this talk I will report some recent progress on Moser-Trudinger type inequalities on manifolds. These manifolds include hyperbolic spaces, some product manifolds and complete Riemannian manifold satisfying certain geometric assumptions. These results are joint work with Guozhen Lu and Qiaohua Yang.

講座人簡介： 李俊鋼，現(xiàn)任美國布朗大學(Brown University) Tamarkin Assistant Professor,主要研究方向為幾何不等式，如雙曲空間，乘積流形上的Trudinger-Moser不等式，Adams不等式等。相關工作發(fā)表在Adv. Math, T. Am. Math. Soc., Calc.Var. Partial. Differential Equations等國際著名學術期刊。