Conference: Women in Commutative Algebra II

该奖项为将于2023年10月16日至20日在意大利特伦托举行的“第二代数中的妇女”(WICA II)讲习班的参加者提供支持。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，有一位有影响力的女数学家艾米·诺特是它的创始人之一。研讨会将对交换代数中的七个不同主题进行研究，14个小组联合组长将提出学习问题并指导研究路线。WICA II将扩大约42名与会者的研究组合和合作网络。这一研讨会将为职业生涯早期的数学家创造领导机会并提供指导，同时也对那些在本国机构地理上与世隔绝的人产生积极影响。本次会议将研究的主题包括：分次代数的Lefschetz性质，张量分解，Waldschmidt常数和再生性，行列式理想的Rees代数，交换代数中的概率模型，Schubert演算的交换代数方面，以及自由分解。这些都是当前该领域感兴趣的主题，研讨会将通过在每个主题上取得科学进展来推进交换代数。更多信息可在研讨会网站上找到，https://mathstat.dal.ca/~faridi/WICAII.This奖反映了国家科学基金会的法定使命，并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 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.