Conference: Research School: Bridges between Algebra and Combinatorics

该奖项支持在美国的学生和早期职业数学家参加将于2024年6月17日至28日在哥伦比亚波帕扬的考卡大学举办的暑期研究学校“VIII Encuentro Columbia biano de Combinatoria：代数与组合数学之间的桥梁(ECCO 2024)”。“Encuentro Columbia biano de Combinatoria”系列赛成立于2003年，现已发展成为国际组合界的一项主要活动。该学院的主要目标之一是促进职业生涯各个层面的数学家之间的密切互动，包括微型课程的演讲者和讲师。在建立专业联系、指导和社区建设方面给予了极大的价值。ECCO的另一个重要支柱是有一个强大的科学计划，参与者直接从专家那里学习几何、代数和计数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迷你课程组成，包括练习课程、两个全体讲座、十五个贡献演讲、两个海报课程、两个圣人数学课程、两个开放问题课程和两个专业小组。这一学派将专注于受几何启发的代数和组合工具的最新发展，这些工具允许回答纯组合技术在过去可能达不到的组合问题。有关该计划的更多细节将发布在学校的网站上，https://ecco2024.combinatoria.co/This奖反映了国家科学基金会的法定使命，并已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 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.