Research School: Geometric Methods in Combinatorics

该奖项支持美国的研究人员参加“第七届Encuentro Brachano de Combinatoria：组合数学中的几何方法”暑期学校，该暑期学校将于2020年6月16日至27日在哥伦比亚博戈塔由Universidad de Los安第斯山脉和塞尔吉奥·阿沃莱达大学主办。会议的特点是由国际知名的专家介绍当前的积极研究领域内的几何组合，拓扑组合和组合代数几何的主题。这些包括洛伦兹多项式的六月许，海森伯格品种和其他组合子品种的旗帜品种的朱莉安娜Tymoczko，真实的热带几何的约瑟芬余，和组合凸性和拓扑的Jesús德洛埃拉。在这些领域已经有了许多令人兴奋的发展，这所学校将为早期职业数学家提供一个了解前沿研究的机会。每周的学校包括四门迷你课程，练习课程，全体演讲，四个贡献的演讲，海报会议和开放问题会议。该活动是自2012年以来举办的两年一度的学校“Encuentro Crachano de Combinatoria”（ECCO）的一部分。除了展示优秀的数学，暑期学校非常重视社区建设，重点是早期职业数学家以及代表性不足的群体的成员。组合学家在其职业生涯的各个阶段之间的互动促进了美国博士课程优秀的拉丁美洲学生的招聘。暑期学校的网站是https://ecco2020.combinatoria.co/This奖反映了NSF的法定使命，并已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的支持。

This award supports participation of US-based researchers in the "VII Encuentro Colombiano de Combinatoria: Geometric Methods in Combinatorics" summer school that will take place in Bogotá, Colombia hosted by Universidad de Los Andes and Universidad Sergio Arboleda during June 16-27, 2020. The meeting features presentations by internationally renowned experts on current topics of active research within the areas of geometric combinatorics, topological combinatorics, and combinatorial algebraic geometry. These include Lorentzian polynomials by June Huh, Hessenberg varieties and other combinatorial subvarieties of the flag variety by Julianna Tymoczko, real tropical geometry by Josephine Yu, and combinatorial convexity and topology by Jesús De Loera. There have been numerous exciting developments in these areas, and this school will provide an opportunity for early-career mathematicians to learn about cutting-edge research.Each week of the school consists of four mini-courses, exercise sessions, a plenary presentation, four contributed talks, a poster session, and an open problem session. This event is part of the biennial school "Encuentro Colombiano de Combinatoria" (ECCO) held since 2012. In addition to showcasing excellent mathematics, the summer school places strong emphasis on community building, focusing on early-career mathematicians as well as members of underrepresented groups. The interaction among combinatorialists in various stages of their careers facilitates recruitment of excellent Latin American students by US PhD programs. The website of the summer school is https://ecco2020.combinatoria.co/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.