Conference on Complex Analysis

知识价值。在过去的40年里，复杂分析取得了巨大的进步，得到了广泛的理解。也许不可能召开一次会议来回顾所做的一切，回顾当前的发展，并窥视整个领域的未来。然而，从David Drasin和Linda Sons的数学角度来看，复杂分析涵盖了许多核心领域，并为评估大量的发展提供了合理的基础。拟于2010年5月在伊利诺伊大学厄巴纳-香槟分校举行的复分析会议的主题将是值分布、经典和p调和势理论、正常族、复微分方程和对称方法。更广泛的影响。会议将汇集过去四十年中对复杂分析发展作出重大贡献的许多人。因此，它将为高级和初级与会者提供关于最近在会议重点领域取得进展的观点。随着许多年轻的数学家作为平行会议的发言人和非正式讨论的参与者出席，会议将在未来几年增加这一主题的活力。事实上，三位主讲人获得博士学位还不到五年。组织者一直注意到，促进未来复杂分析健康发展的一个有效方法是鼓励过去在该领域没有大量代表的群体更多地参与。因此，其工作构成会议主题的两位数学家中有一位是妇女，妇女与会者将作全体会议和平行会议的发言。

Intellectual merit. Over the last 40 years, there have been tremendous advances in complex analysis, broadly understood. It would be perhaps impossible to have a single conference taking a look back at everything that has been done, to review current developments, and to peek into the future of the entire field. However, a look at complex analysis with a particular view towards the mathematics of David Drasin and Linda Sons covers many of the core areas and offers a reasonable foundation for taking stock of a substantial number of developments. The topics of the proposed Conference on Complex Analysis, to be held at the University of Illinois at Urbana-Champaign in May, 2010, will be value distribution, classical and p-harmonic potential theory, normal families, complex differential equations, and symmetrization methods.Broader impact. The Conference will bring together many of the significant contributors to the development of complex analysis in the last forty years. It will thus provide perspective, both for the senior and junior participants, on the advances in recent times in the areas of focus of the Conference. With many younger mathematicians attending, both as speakers in the parallel sessions and as participants in informal discussions, the Conference should add to the vitality of the subject in the coming years. In fact, three of the main speakers received doctoral degrees less than five years ago. The organizers have been mindful that one effective way to contribute to the health of complex analysis in the future is to encourage greater participation among groups who in the past have not had representation in large numbers in the field. Accordingly, one of the two mathematicians whose work constitutes a theme of the Conference is a woman and women participants will deliver plenary talks as well as parallel session talks.