Local Cohomology in Commutative Algebra and Algebraic Geometry

该奖项支持参加2017年8月7日至11日在明尼苏达大学举行的题为交换代数和代数几何中的局部上同调的国际会议。这次会议的主题将是关于局部上同调的交换代数、素特征环、D-模和同调猜想的最新进展。这次会议的目的有两个。首先，它将建立一个平台，可以启动新的协作研究项目，可以进一步推进现有的研究项目，可以报告完成的研究项目。其次，会议将利用中西部在交换代数和代数几何方面的杰出传统，并通过让年轻数学家有机会与该领域的领导者见面并吸收最新的趋势和技术来促进这一传统。通过海报会议，这次会议将特别有助于从研究生过渡到学术雇员。我们还将通过捆绑出版物传播会议上讨论的新成果。《代数中的通讯》杂志将专门为这次会议出版一卷。该奖项将主要用于资助年轻的数学家、研究生和新近的博士后。本次会议的目标是通过聚集学生、博士后研究员和更资深的国际专家，为科学家的培训做出贡献，并促进交换代数和代数几何的研究。交换代数和代数几何都是生机勃勃的领域，有着丰富的和不断发展的相互联系。局部上同调与D-模、与Frobenius态射的相互作用、超几何微分方程及其解层、基于de Rham函子的奇性不变量以及大Cohen-Macaulay代数等数学领域有着有趣的联系。最近的发现涉及到有限性质、Milnor纤维的上同调、同调猜想和双射几何。这次会议将利用这些新的发展，并将它们灌输给当代研究生。欲了解更多信息，请访问会议网站：http://www-users.math.umn.edu/~cberkesc/localCohomConf2017。

This award supports participation in an international conference entitled Local Cohomology in Commutative Algebra and Algebraic Geometry, at the University of Minnesota on August 7 - 11, 2017. The topic of this meeting will be recent advances in Commutative Algebra related to local cohomology, rings of prime characteristic, D-modules, and the homological conjectures. The purpose of this conference is twofold. First, it will set up a platform where new collaborative research projects can be started, current ones can be furthered, and completed ones can be reported on. Second, the meeting will take advantage of the Midwest's outstanding tradition in commutative algebra and algebraic geometry and contribute to this tradition by giving young mathematicians an opportunity to meet the leaders in the field and absorb the latest trends and techniques. Through a poster session, this meeting will help, in particular, with the transition from graduate student to academic employee. We will also disseminate new results discussed at the conference though a bundled publication. The journal "Communications in Algebra" will publish a special volume dedicated to this meeting. The award will be used primarily to fund young mathematicians, graduate students and recent postdocs.The goal of this conference is to contribute to the training of scientists and to advance research in commutative algebra and algebraic geometry by bringing together students, postdoctoral fellows, and more senior international experts. Commutative algebra and algebraic geometry are vibrant fields with rich and ever evolving interconnections. Local cohomology possesses intriguing ties with other areas of mathematics such as D-modules, interactions with the Frobenius morphism, hypergeometric differential equations and their solution sheaves, singularity invariants based on the de Rham functor, and big Cohen--Macaulay algebras. Recent discoveries have occurred that touch finiteness properties, the cohomology of Milnor fibers, the homological conjectures, and birational geometry. This meeting will take advantage of these new developments and infuse them into the current generation of graduate students. Further information can be found at the conference website: http://www-users.math.umn.edu/~cberkesc/localCohomConf2017