報(bào)告題目：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院基礎(chǔ)數(shù)學(xué)研究中心系列報(bào)告

報(bào)告人:  Nguyen Lam、 李俊鋼

講座日期：2021-09-17

講座時(shí)間：08:00

報(bào)告地點(diǎn)： Zoom Meeting ID: 570 368 5183 Passcode: 123456

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院，基礎(chǔ)數(shù)學(xué)研究中心

講座題目1：Sharp Uncertainty Principles

報(bào)告人: Nguyen Lam

講座時(shí)間：08:00

講座內(nèi)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(jì)念大學(xué)(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(guān)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(bào)告人: 李俊鋼

講座時(shí)間：10:00

講座內(nèi)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(xué)(Brown University) Tamarkin Assistant Professor,主要研究方向?yàn)閹缀尾坏仁剑珉p曲空間，乘積流形上的Trudinger-Moser不等式，Adams不等式等。相關(guān)工作發(fā)表在Adv. Math, T. Am. Math. Soc., Calc.Var. Partial. Differential Equations等國際著名學(xué)術(shù)期刊。