Conference: Women in Commutative Algebra II

该奖项为“交换代数中的女性II”（WICA II）研讨会的参与者提供支持，该研讨会将于2023年10月16日至20日在意大利Trento的CIRM（国际数学中心）举行。交换代数是一个非常活跃的数学研究领域，与许多其他学科有着基本的联系，一位有影响力的女数学家Emmy Noether是交换代数的创始人之一。研讨会将以交换代数中七个不同主题的研究为特色，由14位小组共同领导提出研究问题并指导探究方向。WICA II将扩大大约42个与会者的研究组合和合作网络。该研讨会将为早期职业数学家创造领导机会，并为他们提供指导，同时也对那些在家乡机构中地理位置孤立的数学家产生积极影响。本次会议将研究的主题包括：分级代数的Lefschetz性质、张量分解、Waldschmidt常数和再起、决定理想的Rees代数、交换代数中的概率模型、舒伯特微积分的交换代数方面以及自由分辨率。这些都是该领域当前感兴趣的主题，研讨会将通过在这些主题上取得科学进展来推进交换代数。更多信息可以在研讨会网站https://mathstat.dal.ca/~faridi/WICAII.This上找到，该奖项反映了美国国家科学基金会的法定使命，并通过基金会的智力价值和更广泛的影响审查标准进行评估，认为值得支持。

This award provides support for participants of the "Women in Commutative Algebra II” (WICA II) workshop to be held at CIRM (Centro Internazionale per la Ricerca Matematica) in Trento, Italy, on October 16-20, 2023. Commutative algebra is an extremely vibrant field of mathematical research, with fundamental connections to many other disciplines, and has an influential female mathematician, Emmy Noether, as one of its founders. The workshop will feature research on seven different topics within commutative algebra, with fourteen group co-leaders suggesting problems of study and guiding the lines of inquiry. WICA II will expand the research portfolio and collaborative networks of the approximately forty-two participants in attendance. This workshop will create leadership opportunities and provide mentorship for early-career mathematicians, while also making a positive impact on those who are geographically isolated at their home institutions. The topics to be investigated at this conference include Lefschetz properties of graded algebras, tensor decompositions, Waldschmidt constants and resurgence, Rees algebras of determinantal ideals, probabilistic models in commutative algebra, commutative algebra aspects of Schubert Calculus, and free resolutions. These are themes of current interest in the field and the workshops will advance commutative algebra by making scientific advances on each of these topics. More information can be found at the workshop website https://mathstat.dal.ca/~faridi/WICAII.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.