Workshop on Emergent Trends in Complex Function Theory

这笔会议赠款将支持与会者参加将于2019年10月28日至10月31日在西班牙巴塞罗那的马泰马蒂卡中心(CRM)举行的“复函数理论中的新兴趋势”研讨会的旅费。这一科学计划旨在研究复数分析的两个广阔领域之间的相互作用：一方面是椭圆方程解逼近函数的理论、有理逼近、奇异积分和容量理论，另一方面是解析函数空间及其算子的理论。该计划的主要目标之一是加强在这两个分析领域工作的研究人员之间的联系。这些领域之间的相互作用已经导致了有趣和重要的结果。例如，关于平面上的调和逼近和Hardy-Sobolev空间中的谱合成的结果(J.Mateu，J.Orobitg，J.Verdera)，以及最近发现的多元解析多项式逼近与模型空间理论的交集(A.Baranov，J.Carmona，K.Fedorovski，M.Mazalov，P.Paronov)。大量资金将用于支持研究生、职业生涯早期研究人员和来自代表性不足群体的研究人员，使他们有机会向知名专家学习并与他们讨论这些主题。更多信息可在http://www.crm.cat/en/Activities/Curs_2019-2020/Pages/IRP_SAFAIS_WK_ETCFT.aspx.This获得，该奖项反映了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 conference grant will support the travel of participants to attend the workshop on "Emergent Trends in Complex Function Theory" that will take place at the Centre de Recerca Matematica (CRM) in Barcelona, Spain, from October 28 to October 31, 2019. The scientific program is aimed at the interplay between two vast areas of complex analysis: the theory of approximation of functions by solutions of elliptic equations, rational approximation, singular integrals and capacities on the one hand and the theory of spaces of analytic functions and their operators on the other. One of the main goals of the program is to strengthen contacts between researchers working in these two areas of analysis. The interplay between these fields has already led to interesting and important results. For instance, results about harmonic approximation in the plane and spectral synthesis in Hardy-Sobolev spaces (J. Mateu, J. Orobitg, J. Verdera), and the recently discovered intersections of polyanalytic polynomial approximations with the theory of model spaces (A. Baranov, J. Carmona, K. Fedorovskiy, M. Mazalov, P. Paramonov). A significant amount of the funding will be used to support graduate students, early-career researchers, and researchers from underrepresented groups, giving them the opportunity to learn from and discuss these topics with renowned specialists. More information is available at http://www.crm.cat/en/Activities/Curs_2019-2020/Pages/IRP_SAFAIS_WK_ETCFT.aspx.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.