Conference: Collaborative Workshop in Algebraic Geometry

该奖项支持参与者在2024年6月24日至28日的一周内参加高等研究院（IAS）的代数几何协作研究研讨会。讲习班的目标是促进代数几何方面的重要研究，并加强该领域中代表性不足背景的个人社区。我们将特别关注在不同的职业阶段建立联系。参与者将加入由一名领导者和联合领导者以及两到三名初级参与者组成的项目小组，并将在研讨会上从事重点和实质性的研究。在本次研讨会期间启动的项目代表了代数几何的广泛子领域（例如交集理论，环面几何和算术几何），以及与其他数学领域的联系（例如表示理论）。具体来说，主题包括：品种的阿贝尔覆盖，有限域上的del Pezzo曲面，环向矢量束的正性，带有明显分支的Hurwitz空间的Chow环，低属曲线的Ceresa循环，施普林格纤维和Hessenberg品种的几何。更多信息可在https://sites.google.com/view/wiag2024/.This上获得，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 participants to attend a collaborative algebraic geometry research workshop at the Institute for Advanced Study (IAS) during the week of June 24-28, 2024. The goals of the workshop are to facilitate significant research in algebraic geometry and to strengthen the community of individuals in the field from underrepresented backgrounds. We will place a particular focus on forming connections across different career stages. Participants will join project groups composed of a leader and co-leader together with two to three junior participants and will spend the workshop engaged in focused and substantive research. The projects to be initiated during this workshop represent a wide range of subfields of algebraic geometry (e.g. intersection theory, toric geometry and arithmetic geometry), as well as connections to other fields of math (e.g. representation theory). Specifically, topics include: abelian covers of varieties, del Pezzo surfaces over finite fields, positivity of toric vector bundles, Chow rings of Hurwitz spaces with marked ramification, Ceresa cycles of low genus curves, and the geometry of Springer fibers and Hessenberg varieties. More information is available at https://sites.google.com/view/wiag2024/.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.