Conference: Research School: Bridges between Algebra and Combinatorics

该奖项支持美国学生和早期职业数学家参加夏季研究学校“第八届Encuentro Combinatoria：代数和组合学之间的桥梁（ECCO 2024）”，该课程将于2024年6月17日至28日在哥伦比亚波帕扬的考卡大学举行。该系列“Encuentro Crachano de Combinatoria”成立于2003年，并已发展成为国际组合社区的主要活动。学校的主要目标之一是促进数学家在职业生涯的各个层面，包括微型课程的演讲者和讲师之间的密切互动。建立专业联系、指导和社区建设具有很大的价值。 ECCO的另一个重要支柱是有一个强大的科学计划，参与者可以直接从专家那里学习几何，代数和枚举组合学领域的最新问题和发展。这所学校的科学计划由四个小型课程组成，包括练习课程，两个全体会议，十五个贡献演讲，两个海报会议，两个Sage Math会议，两个开放问题会议，两个专业小组。这所学校将专注于最近的发展代数和组合工具的启发几何允许回答组合问题，纯粹的组合技术可能在过去有所欠缺。有关该计划的进一步细节将公布在学校的网站上https://ecco2024.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 the participation of US-based students and early career mathematicians in the summer research School "VIII Encuentro Colombiano de Combinatoria: Bridges between Algebra and Combinatorics (ECCO 2024)" which will be held at Universidad del Cauca in Popayán, Colombia on June 17-28 2024. The series "Encuentro Colombiano de Combinatoria" was established in 2003 and has grown to become a staple event in the international combinatorial community. One of the main goals of the school is to foster close interactions between mathematicians at all levels of the career, including the speakers and instructors of the mini-courses. Great value is given to establishing professional connections, mentoring, and community building. The other important pillar of ECCO is to have a strong scientific program where participants learn directly from the experts about the most recent questions and developments in the areas of geometric, algebraic, and enumerative combinatorics.The scientific program in this school is composed of four mini-courses with exercise sessions, two plenary talks, fifteen contributed talks, two poster sessions, two Sage Math sessions, two open problem sessions, and two professional panels. This school will focus on recent developments of algebraic and combinatorial tools inspired in geometry which have permitted answering combinatorial questions where purely combinatorial techniques might have fallen short in the past. Further details on the program will be posted on the website of the school https://ecco2024.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.