Summer School in Computational Number Theory 2019

该奖项支持参加一系列计算数论暑期学校。即将到来的暑期学校，将在北卡罗来纳州-格林斯伯勒，2019年夏天的大学举行，我们将在建筑物的主题。为期一周的暑期学校的目的是补充研究生接受的传统培训，让他们接触到数论中许多对象的建设性和计算方法。这进一步丰富了他们的知识，并为学生提供了额外的研究工具。此外，学校还为学生提供了与该领域专家密切合作的机会。与p-adic约化群相关联的Bruhat-Tits建筑是与半单李群相关联的经典对称空间的单纯模拟。对这些建筑物的研究是理解p进群和算术格的重要工具。建筑物在许多领域都扮演着重要的角色，包括数论、几何、代数和组合学。暑期学校对学生作为研究人员的职业生涯和博士后生活很有价值，因为该活动有助于创建研究社区。通过与其他研究生在各自领域的会议和工作，学生奠定了未来合作的基础。在暑期学校后的几年里，他们将有机会再次在区域会议之一，包括棕榈数论系列和东南会议上的数字。此外，通过向学生介绍数论的计算方法，该项目将提高下一代数学家在研究中使用计算技术的能力。有关更多信息，请参阅http://www.uncg.edu/math/numbertheory/summerschool/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智力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 a series of summer schools in computational number theory. The upcoming summer school, to be held at the University of North Carolina - Greensboro, summer 2019 we be on the topic of Buildings. The aim of the one-week summer school is to complement the traditional training that graduate students receive by exposing them to a constructive and computational approach to many objects in number theory. This furthers their knowledge and gives the students additional tools for their research. Furthermore, the school provides the students the opportunity to work closely with experts in the field.The Bruhat-Tits building associated to a p-adic reductive group is a simplicial analogue of the classical symmetric space associated to a semi-simple Lie group. The study of these buildings has been an important tool in understanding p-adic groups as well as arithmetic lattices. Buildings have enjoyed playing key roles in several areas, including number theory, geometry, algebra, and combinatorics. The summer school is valuable to students for their careers as researchers and in their post-doctoral lives, since the event helps to create research communities. By meeting and working with other graduate students in their field, the students lay the foundation for future collaboration. In the years after the summer school, they will have opportunities to meet again at one of the regional conferences, including the Palmetto Number Theory Series and the South Eastern Meeting on Numbers. Additionally, by introducing the students to a computational approach to number theory, this project will enhance the next generation of mathematicians by increasing their ability to use computing technology in their research.For more information, see http://www.uncg.edu/math/numbertheory/summerschool/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.