Conference: Pittsburgh Links among Analysis and Number Theory (PLANT)

该奖项将支持为期四天的“分析与数论之间的匹兹堡联系”会议，该会议将于2024年3月4日至7日在宾夕法尼亚州匹兹堡举行。会议的目的是将两个学科的代表聚集在一起，共享一个界面：数论和分析。这些领域之间有很大的潜力进行更深入的合作，从而产生新的和变革性的数学观点，本次会议旨在促进这种交流。特别值得一提的是，这次会议旨在吸引博士生和博士后学者在这个界面上进行创新。为了鼓励新思想的发展，会议发言人共同代表了许多子领域，这些子领域已经发展了他们自己独特的分析和数论的融合，如解析数论、算术统计、模和自同构形式的解析理论、加性组合学、离散调和分析和解耦。虽然已经有各种各样的会议以这些相对孤立的子领域为特色，但pi对PLANT在所有这些子领域之间建立联系的潜力感到兴奋，并为早期职业参与者提供了参与这种交流的机会。该奖项反映了NSF的法定使命，并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，认为值得支持。

This award will support the four-day conference "Pittsburgh Links among Analysis and Number Theory (PLANT)" that will take place March 4-7, 2024 in Pittsburgh, PA. The purpose of the conference is to bring together representatives of two disciplines with a shared interface: number theory and analysis. There is a large potential for deeper collaboration between these fields resulting in new and transformative mathematical perspectives, and this conference aims at fostering such an interchange. In particular, the conference is designed to attract PhD students and post-doctoral scholars into working on innovations at this interface. To encourage the development of new ideas, the conference speakers, collectively, represent many subfields that have developed their own distinctive blend of analysis and number theory, such as analytic number theory, arithmetic statistics, analytic theory of modular and automorphic forms, additive combinatorics, discrete harmonic analysis, and decoupling. While there have been a wide variety of conferences featuring these subfields in relative isolation, the PIs are excited at PLANT's potential for sparking links among all of these subfields and giving early-career participants the opportunity to be part of this exchange. The conference website is https://sites.google.com/view/plant24/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.