Southwest Local Algebra Meeting 2020

该奖项支持参加西南地方代数会议2020年，在杜兰大学举行的2020年3月7日至3月8日。这次会议将促进学生和教师之间的互动，从西南地区的机构谁有兴趣在环理论。环的研究，在最广泛的意义上，是至关重要的许多数学分支，包括交换和非交换几何，群表示，数论，编码理论和密码学。西南地区的代数学家在纯粹和应用环理论的保护伞下进行各种主题的研究。会议将汇集来自不同机构的学生和教师进行鼓舞人心的演讲，有充足的时间进行科学互动，为参与者提供开始新合作的机会，并促进新的研究项目。预计约有70名与会者，包括来自美国南部和西南部的学生、青年和高级教师。来自代表性不足的少数群体，妇女，非终身教职员工和非博士学位教师的学生的参与。特别鼓励赠款机构。六位专家将就其专业领域内的主题进行长达一小时的演讲。这些讲座是为了让研究生能够参加。会议还将举行三个小时的海报会议，参与的学生将展示他们的研究。 与会者将讨论交换代数中的几个关键问题，包括寻找Betti数的界限的进展，这一主题对组合学和代数几何中的经典问题具有重要意义，包括Cayley-Bacharach理论。几位演讲者在组合或计算代数几何工作，也将阐明这些领域和交换代数之间的联系。最后，一位演讲者的研究专长是表示论，提供了一个机会，介绍环理论家在不同领域的问题接近他们的工作领域。更多信息可以在会议网页上找到：http://www.math.ttu.edu/~lchriste/slam2020.html.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。

This award supports participation in the Southwest Local Algebra Meeting 2020, held at Tulane University on March 7 – March 8, 2020. This conference will facilitate interactions between students and faculty from institutions in the Southwest who have interests in ring theory. The study of rings, in the broadest sense, is crucial to many branches of mathematics, including commutative and non-commutative geometry, group representations, number theory, coding theory, and cryptography. Algebraists in the Southwest region pursue research on a variety of topics under the umbrella of pure and applied ring theory. The meeting will bring together students and faculty from a variety of institutions for inspiring talks, with ample time for scientific interaction, providing opportunities for participants to begin new collaborations and catalyzing new research projects. About 70 participants are expected, including students and young and senior faculty from throughout the South and Southwestern USA. The participation of students from underrepresented minority groups, women, untenured faculty, and faculty at non-Ph.D. granting institutions is particularly encouraged. Six experts will deliver hour-long talks on topics within their areas of specialty. The lectures are intended to be accessible to graduate students. The meeting will also feature three hour-long poster sessions in which the participating students will present their research. Participants will discuss several key problems in commutative algebra, including progress on finding bounds for Betti numbers, a topic that has significant implications for classical problems in combinatorics and algebraic geometry, including Cayley-Bacharach theory. Several speakers work in combinatorial or computational algebraic geometry and will also shed light on connections between these fields and commutative algebra. Finally, the research expertise of one speaker is in Representation Theory, providing an opportunity to introduce ring theorists to problems in a different field close to their areas of work. More information can be found at the conference webpage: http://www.math.ttu.edu/~lchriste/slam2020.html.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.