Conference: Latin American School of Algebraic Geometry

该奖项将为来自美国的研究生和早期职业数学家提供旅行支持，参加将于2024年8月12日至23日在巴西弗里奥角举行的“拉丁美洲代数几何学院”研究学院，该学院将由IMPA（纯粹与应用数学研究所）主办，IMPA是一个著名的数学研究和研究生教育中心，成立于1952年，位于巴西里约热内卢里约热内卢。这将是ELGA系列的第五版。之前的活动分别在布宜诺斯艾利斯（阿根廷，2011年）、弗里奥角（巴西，2015年）、瓜纳华托（墨西哥，2017年）和塔尔卡（智利，2019年）举行。ELGA是拉丁美洲的重大数学活动，是代数几何社区的焦点会议点，也是初级研究人员交流和向该领域的世界专家学习的绝佳机会。ELGA研讨会的独特之处在于他们致力于在美洲培养下一代STEM领导者。美国国家科学基金会为美国与会者提供的旅费支持将进一步加强大学之间的联系，促进拉丁美洲和美国未来数学家之间的科学合作。会议的网站是https://impa.br/en_US/eventos-do-impa/2024-2/v-latin-american-school-of-algebraic-geometry-and-applications-v-elga/Algebraic几何学通过提供一种精确的语言来描述几何，长期以来在数学中发挥着核心作用形状被称为代数变种，其应用范围从物理学中的构型空间到统计学中的参数模型。这种通用的语言在整个代数中使用，并推动了许多最近的进展，不仅在代数几何本身，而且在表示理论、数论、辛几何和其他领域。在为期两周的课程中，Cinzia Casagrande（意大利都灵大学）、Charles Favre （École法国理工学院）、Joaquin Moraga（美国加州大学洛杉矶分校）、Giancarlo Urzúa（智利天主教大学）和Susanna Zimmermann（法国巴黎萨克雷大学）的课程将涵盖广泛的主题，包括法诺流形的几何、代数变体的奇点、Cremona射影变体群、希格斯束和模空间的几何。每门课程将包括两个小时的辅导课，由课程讲师在参加研究研讨会的高级研究生的协助下协调。由高级和初级研究人员组成的额外会谈和演示旨在提供代数几何及其应用的全景视图。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 will provide travel support for graduate students and early career mathematicians from the United States to participate in the research school "Latin American School of Algebraic Geometry" that will take place in Cabo Frio, Brazil from August 12 to 23, 2024, and will be hosted by IMPA (Institute for Pure and Applied Mathematics), a renowned center for mathematical research and post-graduate education founded in 1952 and situated in Rio de Janeiro, Brazil. This will be the fifth edition of the ELGA series. The previous events were held in Buenos Aires (Argentina, 2011), Cabo Frio (Brazil, 2015), Guanajuato (Mexico, 2017), and Talca (Chile, 2019). ELGA is a major mathematical event in Latin America, a focal meeting point for the algebraic geometry community and a great opportunity for junior researchers to network and to learn from the world experts in the field. ELGA workshops are unique in their dedicated efforts to nurture the next generation of leaders in STEM in the Americas. The travel support for U.S. participants from the National Science Foundation will further strengthen the ties between the universities and promote scientific cooperation between future mathematicians in Latin America and the U.S. The website of the conference is https://impa.br/en_US/eventos-do-impa/2024-2/v-latin-american-school-of-algebraic-geometry-and-applications-v-elga/Algebraic geometry has long enjoyed a central role in mathematics by providing a precise language to describe geometric shapes called algebraic varieties, with applications ranging from configuration spaces in physics to parametric models in statistics. This versatile language is used throughout algebra and has fueled multiple recent advances, not only in algebraic geometry itself but also in representation theory, number theory, symplectic geometry, and other fields. Over the course of two weeks, courses by Cinzia Casagrande (University of Torino, Italy), Charles Favre (École Polytechnique, France), Joaquin Moraga (UCLA, USA), Giancarlo Urzúa (Catholic University, Chile), and Susanna Zimmermann (University of Paris-Saclay, France) will cover a wide range of topics including geometry of Fano manifolds, singularities of algebraic varieties, Cremona groups of projective varieties, Higgs bundles, and geometry of moduli spaces. Each course will include two hours of tutorial sessions coordinated by the course lecturers with the assistance of advanced graduate students participating in the research workshop. Additional talks and presentations by a combination of senior and junior researchers are intended to give a panoramic view of algebraic geometry and its applications.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.