Douglas Arnold教授做客线上“自然科学杰出演讲系列讲座” “Distinguished Lecture in Natural Sciences” by Prof. Douglas Arnold

战“疫”不停,学术不止。4月11日,第二期“自然科学研究杰出演讲系列”讲座在“云端”开讲。本次讲座邀请明尼苏达大学McKnight Presidential数学教授Douglas Arnold,以“Wave Localization and its Landscape”为题为广大师生带来一场线上学术报告。本次学术报告由自然科学研究院院长金石教授主持,参会者包括来自数学科学学院、物理与天文学院、致远学院以及海内外其他高校的120多名师生。

本次讲座重点介绍了近年来在研究安德森局域化问题中,通过引入景观函数及其有效势能所取得的重大进展。Douglas Arnold教授从计算数学家的角度描述了这些发展,将景观理论视为一种完全非传统的计算谱的数值方法。最后,参会者向Douglas Arnold教授积极提问,双方就讲座内容展开热烈讨论。


嘉宾介绍: Douglas N. Arnold,数学家,明尼苏达大学McKnight Presidential数学教授,研究方向是计算数学。Douglas N. Arnold教授的工作主要集中在数值分析上,尤其是应用于物理学和工程学中的偏微分方程。近期,Douglas N. Arnold教授正在使用数值方法来理解和控制波的定位,尤其是在量子力学中。 Douglas N. Arnold教授获奖无数,其中包括2002年在国际数学家大会上的进行会议演讲,2008年获古根海姆奖学金,2009年获挪威科学与文学学院外国会士,2013年获SIAM专业服务杰出奖,2015年获得美国计算力学协会颁发的J. Tinsley Oden勋章。2009年,Douglas N. Arnold教授获冯康杰出奖,并于去年12月在维也纳的Erwin Schrodinger研究所发表了Erwin Schrodinger的演讲。Douglas N. Arnold教授是美国数学学会(SIAM)和美国科学促进协会的会士。Douglas N. Arnold教授担任过众多科学领导职务,包括2009-2010年担任工业和应用数学协会SIAM主席,此前担任数学及其应用研究所(IMA)的理事。Douglas N. Arnold教授致力于提高公众对数学及其在社会中应用的理解。2007年,他与合作者的获奖影片MöbiusTransformations Revealed,在YouTube上风靡一时,获得了超过200万的观看次数。

During the battle against the novel coronavirus, INS academic activities never stop. On April 11, the second “Distinguished Lecture in Natural Sciences” was held on the “Cloud”. Douglas Arnold, McKnight Presidential Professor of Mathematics at the University of Minnesota delivered an online lecture on “Wave Localization and its Landscape”. The academic report was chaired by Professor Shi Jin, Director of the Institute of Natural Sciences, Shanghai Jiao Tong University. Participants included more than 120 teachers and students from the School of Mathematical Sciences, SJTU, the School of Physics and Astronomy, SJTU, Zhiyuan College, SJTU and other universities at home and abroad.

Prof. Arnold’s talk focused on major strides made in recent years based on the introduction of the landscape function and its partner, the effective potential. He described these developments from the viewpoint of a computational mathematician who sees the landscape theory as a completely unorthodox sort of a numerical method for computing spectra. Towards the end of the lecture, the participants and Professor Douglas Arnold had a heated discussion over today’s talk.

Amid the COVID-19 pandemic, this online lecture connects scholars, teachers and students from all over the world, sharing cutting-edge scientific research trends and results, promoting academic exchanges and scientific research innovation, creating a pleasant academic atmosphere, as well as building an effective communication platform.

Douglas N. Arnold is the McKnight Presidential Professor of Mathematics at the University of Minnesota. He is a research mathematician and educator specializing in computational mathematics. Prof. Arnold’s work centers on numerical analysis, especially as applied to partial differential equations arising in physics and engineering. Recently Prof. Arnold is using numerical methods to understand and control the localization of waves, especially for applications in quantum mechanics. Arnold’s numerous awards include a plenary lecture at the International Congress of Mathematicians in Beijing in 2002, a Guggenheim fellowship in 2008, foreign membership in the Norwegian Academy of Science and Letters in 2009, the SIAM Prize for Distinguished Service to the Profession in 2013, and the J. Tinsley Oden Medal from the US Association of Computational Mechanics in 2015. He delivered the Feng Kang Distinguished, Lecture at the Chinese Academy of Sciences in 2009, and the Erwin Schrodinger Lecture at Vienna’s Erwin Schrodinger Institute this past December. Prof. Arnold is a fellow of the American Mathematical Society, SIAM, and the American Association for the Advancement of Science. He has also held many scientific leadership roles including the Presidency of the Society for Industrial and Applied Mathematics SIAM in 2009 and 2010, and directorship of the Institute for Mathematics and its Applications (IMA) before that. Among Arnold’s priorities are efforts to increase public understanding of mathematics and its role in society. In 2007 he coauthored an award winning video, Möbius Transformations Revealed, which went viral on YouTube, garnering over two million views.