Conference: Madison Lectures in Harmonic Analysis

会议：麦迪逊谐波分析讲座

• 批准号: 2337344
• 负责人: Brian Street
• 金额: $ 5万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2024
• 资助国家: 美国
• 起止时间: 2024-02-01 至 2025-01-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2337344&HistoricalAwards=false
• 关键词: Conference; Madison; Lectures; Harmonic; Analysis

The Madison Lectures in Harmonic Analysis, a two-week program encompassing a week-long international conference, followed by a week-long summer school on Fourier analysis and related topics, will take place on the campus of the University of Wisconsin-Madison, May 13-23, 2024. The conference, to take place during the first week, May 13-17, 2024, is devoted to recent developments in the field of harmonic analysis, and will also encompass its many applications to other mathematical areas. The conference will bring 26 internationally-recognized mathematicians to each give a 50-minute talk and participate throughout the week. It will also support the participation of a number of early career researchers. All participants will have the opportunity to present their research in a poster session running throughout the week, and an open problem session will focus on future directions of research. The Spring School will take place during the second week, May 19-23, 2024. It will be led by two young experts, Drs. Durcik and Roos, with 10 to 15 participants at the graduate student or postdoctoral level. The participants will prepare presentations from a list of important papers in the field in advance and during the Spring School, they will study the papers together under the guidance of Drs. Durcik and Roos which will introduce these junior researchers to important recent developments in the field and gain a broad understanding of this every active area of mathematics. These two events are connected for synergistic purposes; junior researchers will be invited to the conference to learn more from more senior researchers, where they can present their own work in a poster session, and they can stay for the summer school for a more in-depth study. Thus, organizing the two events consecutively will provide enhanced opportunities for junior researchers to network, share their results, and learn from their peers and more senior researchers. The organizers have dedicated a substantial portion of the conference budget to the participation of early-career mathematicians. They will make special efforts to invite and encourage the participation of women and members of other underrepresented groups. The topics to be discussed at the conference will include, but will not be limited to, the following important developments in harmonic analysis in recent years: the Fourier restriction and Bochner–Riesz problems; decoupling inequalities and local smoothing problems in Fourier analysis and their applications, applications to geometric measure theory; inequalities of Brascamp-Lieb type; sparse domination inequalities and their application to weighted norm theory; analysis problems for the Hamming cube; subelliptic partial differential equations and generalized pseudo-differential operators. The spring school will focus on the exciting and active area of multilinear singular integrals with applications to ergodic theory. More information may be found at the conference webpage, https://sites.google.com/wisc.edu/mlha-2024/home.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

谐波分析的麦迪逊讲座，为期两周的计划，包括为期一周的国际会议，随后是为期一周的傅立叶分析及相关主题的暑期学校，将于2024年5月13日至23日在威斯康星大学麦迪逊分校校园内举行。 会议将于2024年5月13日至17日举行，致力于谐波分析领域的最新发展，并将涵盖其在其他数学领域的许多应用。会议将邀请26位国际知名的数学家，每人进行50分钟的演讲，并在整个星期内参加。它还将支持一些早期职业研究人员的参与。所有参与者都将有机会在整个星期的海报会议上展示他们的研究，而开放式问题会议将专注于未来的研究方向。春季学校将在第二周，2024年5月19日至23日举行。该项目将由Durcik博士和鲁什博士两位年轻专家领导，有10至15名研究生或博士后参加。与会者将准备从该领域的重要论文的列表提前和春季学校期间的演示文稿，他们将研究的文件在博士的指导下一起. Durcik和鲁什这将介绍这些初级研究人员在该领域的重要最新发展，并获得广泛的理解这每一个活跃的数学领域.这两个事件是相互关联的协同目的;初级研究人员将被邀请参加会议，以了解更多的高级研究人员，在那里他们可以在海报会议上展示自己的工作，他们可以留在暑期学校进行更深入的研究。因此，连续举办这两项活动将为初级研究人员提供更多的机会，使他们能够建立联系，分享成果，并向同行和更资深的研究人员学习。组织者将会议预算的很大一部分用于早期职业数学家的参与。它们将作出特别努力，邀请和鼓励妇女和其他代表性不足群体的成员参加。会议将讨论的主题包括但不限于近年来调和分析的以下重要发展：Fourier限制和Bochner-Riesz问题; Fourier分析中的解耦不等式和局部光滑问题及其应用，在几何测度理论中的应用; Brascamp-Lieb型不等式;稀疏控制不等式及其在加权范数理论中的应用;分析问题的汉明立方体;次椭圆偏微分方程和广义伪微分算子。春季学校将集中在多线性奇异积分与遍历理论的应用令人兴奋和活跃的领域。更多信息可以在会议网页上找到，https://sites.google.com/wisc.edu/mlha-2024/home.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。