Conference on Algebras, Representations, and Applications

会议“代数，表示和应用”将于2018年8月27日至8月31日在秘鲁的圣安东尼奥阿巴德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，将汇集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的群体和早期职业研究人员的参与者。会议讲座将以座谈会的形式进行，以便使博士后学者和研究生能够获得材料。此外，还将举行简短的交流会，由早期运营商数学家提供30分钟的演讲。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已率先不仅在李群理论，而且在其他领域的数学和物理，如组合，群论，数论，可积系统，偏微分方程，拓扑和共形场论。最近的发展表示理论使用D-模，Koszul对偶，霍奇理论，和更高的范畴进一步加强这些相互作用。会议将涵盖这些发展及其应用的广泛范围。会议的目的是汇集领先的专家，讨论过去十年在代数和表示论方面的主要成就，以及继续充斥该领域的问题和基本知识。 更多细节可以在会议网站www.example.com上找到https://sites.google.com/view/icm2018satellitecusco/.This奖项反映了NSF的法定使命，并被认为值得通过使用基金会的知识价值和更广泛的影响审查标准进行评估来支持。

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.