Research School: Geometric Methods in Combinatorics

该奖项支持美国研究人员参加将于2020年6月16日至27日在哥伦比亚波哥大<e:1>举行的“VII Encuentro Colombiano de Combinatoria: Combinatorics中的几何方法”暑期学校，该暑期学校由洛斯安第斯大学和塞尔吉奥阿尔博莱达大学主办。会议的特色是由国际知名专家就几何组合学、拓扑组合学和组合代数几何领域的当前活跃研究主题发表演讲。其中包括June Huh的Lorentzian多项式，Julianna Tymoczko的Hessenberg变量和其他flag变量的组合子变量，Josephine Yu的真实热带几何，Jesús De Loera的组合凸性和拓扑。在这些领域有许多令人兴奋的发展，这所学校将为早期职业数学家提供学习前沿研究的机会。学校每周包括四门迷你课程、练习、一次全体会议报告、四次专题演讲、一次海报会议和一次公开问题会议。该活动是自2012年以来举办的两年一次的“Encuentro Colombiano de Combinatoria”（ECCO）学校的一部分。除了展示优秀的数学之外，暑期学校还非常重视社区建设，重点关注早期职业数学家以及代表性不足的群体成员。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项目招募优秀的拉丁美洲学生。暑期学校的网站是https://ecco2020.combinatoria.co/This，该奖项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知识价值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 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.