Conference: Madison Lectures in Harmonic Analysis

调和分析中的麦迪逊讲座将于2024年5月13日至23日在威斯康星大学麦迪逊分校举行，为期两周的课程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暑期班。这次会议将在2024年5月13日至17日的第一周举行，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位国际公认的数学家每人发表50分钟的演讲，并参与整个星期。它还将支持一些早期职业研究人员的参与。所有参与者将有机会在整个星期的海报会议上展示他们的研究，开放问题会议将集中讨论未来的研究方向。春季班将在2024年5月19日至23日的第二周举行。它将由两名年轻的专家Durcik博士和Roos博士领导，研究生或博士后水平的参与者为10至15人。参与者将提前准备一份该领域重要论文的报告清单，并在春季学校期间，他们将在Durcik博士和Roos博士的指导下一起研究这些论文，这将向这些初级研究人员介绍该领域的重要最新发展，并对这一活跃的数学领域有一个广泛的理解。这两个活动出于协同目的而联系在一起；初级研究人员将被邀请参加会议，向更资深的研究人员学习更多东西，他们可以在海报会议上展示自己的工作，他们可以留下来参加暑期班，进行更深入的研究。因此，连续组织这两个活动将为初级研究人员提供更多机会来建立网络，分享他们的成果，并向他们的同行和更资深的研究人员学习。主办方已将会议预算的很大一部分用于早期职业数学家的参与。他们将作出特别努力，邀请和鼓励妇女和其他任职人数不足的群体成员参加。会议将讨论的议题将包括但不限于近年来调和分析的下列重要发展：傅立叶限制和Bochner-Riesz问题；傅立叶分析中的解耦不等式和局部光滑化问题及其在几何测度论中的应用；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；Hamming立方体的分析问题；亚椭圆型偏微分方程和广义伪微分算子。春季学派将专注于多线性奇异积分令人兴奋和活跃的领域，并将其应用于遍历理论。更多信息可在会议网页上找到，https://sites.google.com/wisc.edu/mlha-2024/home.This奖反映了美国国家科学基金会的法定使命，并通过使用基金会的智力优势和更广泛的影响审查标准进行评估，被认为值得支持。

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.