Conference: Collaborative Workshop in Algebraic Geometry

该奖项支持参与者在2024年6月24日至28日的一周内参加高级研究所（IAS）的合作代数几何研究研讨会。该讲习班的目标是促进代数几何的重要研究，并加强该领域代表性不足背景的个人社区。我们将特别注重在不同的职业阶段建立联系。参加者将加入由一名领导人和共同领导人以及两至三名初级参与者组成的项目小组，并将在讲习班期间从事重点突出的实质性研究。在这次研讨会期间启动的项目代表了代数几何的广泛子领域（例如相交理论，复曲面几何和算术几何），以及与其他数学领域的联系（例如表示理论）。具体而言，主题包括：交换覆盖的品种，德尔Pezzo表面有限领域，积极的环面向量丛，周环的Hurwitz空间与显着的分歧，Ceresa周期的低属曲线，和几何的施普林格纤维和海森伯格品种。更多信息可在www.example.com上获得https://sites.google.com/view/wiag2024/.This奖项反映了NSF的法定使命，并被认为值得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来支持。

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.