The Corona Problem: Connections between Operator Theory, Function Theory and Geometry

该奖项将于2012年6月18日至22日在加拿大多伦多的菲尔兹数学科学研究所举行，以支付美国参加“日冕问题：算子理论、函数论和几何之间的联系”的费用。电晕问题是复变分析中的一个基本问题，它与算子论、函数论和几何学都有联系。该问题的一个版本要求区域上的有界解析函数的集合生成整个代数为理想的充要条件。尽管这是一个抽象的数学问题，但这个问题通过控制理论与工程中的问题找到了有趣的联系。NSF为这次会议提供的资金将用于支付美国参会者支持的费用，优先考虑研究生、博士后、年轻教师、代表性不足群体的成员，以及那些没有自己资金来源的人。这次会议将聚集算子论、函数论、复数几何和几个复变量的研究人员，讨论与日冕问题有关的最新进展，特别是这些分析领域之间的重叠。研讨会将有机会吸引一些在函数论、几个复变量和调和分析方面的顶尖专家一起讨论这个问题和相关的感兴趣的研究问题。这次研讨会将创造一个环境，让学生和早期职业研究人员可以从与这些顶尖专家的互动中受益。

The award provides support to defray the expenses of US participants in "The Corona Problem: Connections between Operator Theory, Function Theory and Geometry", which will be held June 18-22, 2012, at the Fields Institute for Research in the Mathematical Sciences in Toronto (Canada). The Corona Problem is a fundamental question in complex analysis that has connections with operator theory, function theory and geometry. A version of the problem asks for necessary and sufficient conditions for a collection of bounded analytic functions on a domain to generate the whole algebra as an ideal. Even though it is an abstract mathematical question, this problem has found interesting connections with questions in engineering via control theory. NSF funding for this conference will be used to pay for the expenses of US based participant support, with priority given to graduate students, post-docs, younger faculty, members of underrepresented groups, and those without their own source of funding. This meeting will bring together researchers in operator theory, function theory, complex geometry and several complex variables to discuss recent advances related to Corona Problem and in particular the overlap between these areas of analysis. The workshop will be an opportunity to attract some of the leading experts in function theory, several complex variables and harmonic analysis together to discuss this question and related research questions of interest. This workshop will create an environment in which students and early career researchers could profit from the interaction with such top experts.