Conference on Algebras, Representations, and Applications

“代数、表示和应用”会议将于2018年8月27日至8月31日在秘鲁圣安东尼奥·阿巴德·库斯科国立大学举行。本次会议是2018年国际数学家大会的卫星会议，将汇聚来自世界各地的数学家。该奖项将为美国的参与者提供支持，优先考虑来自代表性不足群体的参与者和职业生涯早期的研究人员。会议讲座将以座谈会形式进行，以使博士后学者和研究生能够接触到材料。还将有由早期运营商数学家发表的30分钟演讲组成的简短交流会议。李代数及其相关代数结构的表示理论已成为数学中一个综合性的主流研究领域。特别是，新的范畴和几何结构不仅在李理论中处于领先地位，而且在数学和物理的其他领域也处于领先地位，如组合学、群论、数论、可积系统、偏微分方程组、拓扑学和共形场论。使用D-模、Koszul对偶、Hodge理论和更高范畴的表示理论的最新发展正在进一步加强这些相互作用。会议将广泛讨论这些发展及其应用。会议的目的是聚集顶尖的专家，讨论过去十年在代数和表示论方面的主要成就，以及继续丰富该领域的问题和基本猜想。更多细节可以在会议网站上找到，https://sites.google.com/view/icm2018satellitecusco/.This奖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。

The conference "Algebras, Representations, and Applications" will be held at Universidad Nacional San Antonio Abad de Cusco in Peru from August 27 to August 31, 2018. This conference is a satellite conference for the 2018 International Congress of Mathematicians that will bring together mathematicians from all over the world. This award will provide support for US-based participants with priority given to participants from under-represented groups and early-career researchers. The conference lectures will be in a colloquium style in order to make the material accessible to post-doctoral scholars and graduate students. There will also be short communication sessions consisting of 30-minute talks delivered by early-carrier mathematicians. The representation theory of Lie algebras and related algebraic structures has become a comprehensive and mainstream research area in mathematics. In particular, new categorical and geometric constructions have taken the lead not only within Lie theory, but also in other areas of mathematics and physics such as combinatorics, group theory, number theory, integrable systems, partial differential equations, topology and conformal field theory. Recent developments in representation theory using D-modules, Koszul duality, Hodge theory, and higher category are strengthening these interactions further. The conference will cover a wide range of these developments and their applications. The aim of the conference is to bring together leading specialists to discuss the major achievements of the last decade in algebras and representation theory, as well as problems and fundamental conjectures that continue to abound the area. Further details can be found at the conference website https://sites.google.com/view/icm2018satellitecusco/.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.