US-Mexico conference in representation theory and noncommutative algebra

该奖项将资助美国研究人员参加第三届美墨表征理论、分类和非交换代数会议，该会议将于2017年11月27日至12月1日在墨西哥城的墨西哥国立自治大学举行。表征理论是数学的一个主要分支，研究物理理论和数学对象的对称性。表征理论的主要对象往往只是更丰富的结构的影子，这些结构是通过更深入的研究而恢复的。非交换代数是代数的另一个主要分支，它研究量子理论、表示理论和几何中可交换对象的变形。会议的重点将是在表示理论和非交换代数的界面的最新进展；为美国和墨西哥在这一研究领域建立国际合作创造环境；让两国的研究生、博士后和年轻教师了解该领域的最新发展。自2015年1月以来，pi每学年组织一次为期一周的美墨系列会议。这些会议轮流在美国和墨西哥举行。第三届会议的主要科学主题将是表示理论中的代数、几何和同调方法，分类，非交换代数的表示和理想结构。讲座将涵盖一些最新的趋势，包括：簇代数，量子对称，一元和加性范畴，Calabi-Yau代数和范畴，以及非交换射影代数几何。会议的网址是https://sites.google.com/view/usmexico-2017/home。

This award will fund the participation of US-based researchers in the third US-Mexico Conference on Representation Theory, Categorification, and Non-Commutative Algebra that will take place at Universidad Nacional Autonoma de Mexico in Mexico City, November 27-December 1, 2017. Representation theory is a major branch of mathematics that studies symmetries of physical theories and of mathematical objects. Often the main objects in representation theory are only the shadow of richer structures that are recovered through deeper study. Non-commutative algebra is another major, related branch of algebra that studies deformations of commutative objects found in quantum theories, representation theory, and geometry. The foci of the conference will be on recent advances at the interface of representation theory and non-commutative algebra; on fostering an environment for the establishment of international collaborations between the US and Mexico in this research areas; and on exposing graduate students, post-docs, and young faculty in both countries to current developments in the field.The PIs have been organizing one week-long conference in this US-Mexico series each academic year since January 2015. These conferences alternate between the US and Mexico. The main scientific topics for the 3rd conference will be algebraic, geometric and homological methods in representation theory, categorification, and representations and ideal structure of non-commutative algebras. The talks will cover some of the most recent trends including: cluster algebras, quantum symmetries, monoidal and additive categorifications, Calabi-Yau algebras and categories, and non-commutative projective algebraic geometry. The website for the conference is https://sites.google.com/view/usmexico-2017/home.