Southwest Local Algebra Meeting 2020

该奖项支持参加2020年3月7日至3月8日在杜兰大学举行的2020年西南局部代数会议。这次会议将促进西南地区对环论感兴趣的学生和教职员工之间的互动。从最广泛的意义上讲，环的研究对数学的许多分支都是至关重要的，包括交换和非交换几何、群表示、数论、编码论和密码学。西南地区的代数学家在纯环论和应用环论的保护伞下对各种主题进行研究。会议将汇集来自不同机构的学生和教职员工进行鼓舞人心的演讲，有充足的时间进行科学互动，为与会者提供开始新合作和催化新研究项目的机会。预计将有大约70人参加，其中包括来自美国南部和西南部的学生和年轻和资深教职员工。来自代表性不足的少数群体的学生、女性、非终身教职员工和非博士授予机构的教职员工的参与尤其受到鼓励。六位专家将就各自专业领域的主题发表长达一小时的演讲。这些讲座的目的是让研究生能够听懂。会议还将以三个小时的海报会议为特色，参与会议的学生将展示他们的研究成果。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。几位演讲者从事组合或计算代数几何的工作，并将阐明这些领域与交换代数之间的联系。最后，一位演讲者的研究专长是表象理论，这为环论者提供了一个机会，将他们介绍给他们工作领域附近不同领域的问题。更多信息可在会议网页上找到：http://www.math.ttu.edu/~lchriste/slam2020.html.This奖反映了美国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。

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.