Hodge Theory, Arithmetic and Moduli

该奖项为参加2019年5月13日至17日在加拿大温哥华不列颠哥伦比亚省大学太平洋数学科学研究所举行的主题为霍奇理论、模数和算术的研讨会的美国研究人员提供差旅支持。会议的主要主题是霍奇理论及其在模理论和周期积分算法中的应用。这笔资金将支持10名早期职业研究人员。研讨会的具体研究目标是综述这一领域的最新进展，重点是以下主题：(1)周期映象的紧致；(2)高度对、调节器和高次正规函数的特殊值的不合理性；(3)Hyperkaehler流形的构造及其对合的研究。有关此次会议的更多信息，请访问：https://www.pims.math.ca/scientific-event/190513-shtamThis奖项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。

This award provides travel support for US-based researchers participating in the symposium "Hodge theory, Moduli and Arithmetic" to be held May 13-17, 2019 at the Pacific Institute for the Mathematical Sciences at the University of British Columbia in Vancouver, Canada. The broad themes of the conference are Hodge theory and its applications to questions in moduli theory and the arithmetic of period integrals. The funds will support ten early career researchers. The specific research goal of the symposium is to survey recent developments in the field with emphasis on the following topics: (1) compactifications of the images of the period maps; (2) height pairings, regulators and the irrationality of special values of higher normal functions; and (3) construction of hyperkaehler manifolds and the study of their involutions. More information about the conference is available at: https://www.pims.math.ca/scientific-event/190513-shtamThis 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.