Madison Moduli Weekend - A Conference on Moduli Spaces

“麦迪逊模周末”是一个关于模空间的会议，将于2020年3月27日至29日在威斯康星州麦迪逊举行。模空间在代数几何和数论中具有重要的意义，并发展了许多研究模空间的观点。这次会议的目的是汇集不同的数学家群体，从早期的职业研究生到该领域的专家，讨论围绕模空间研究的重大问题和技术。会议将包括五场全体讲座以及由早期职业数学家进行的多场简短演讲。更多细节可以在会议网站上找到：https://sites.google.com/wisc.edu/madisonmoduliweekend/home.Moduli空间参数化感兴趣的对象族，直到同构的概念。他们的研究除了对算术和代数几何产生重大影响外，还推动了许多领域的发展。这些研究包括但不限于模曲线、Shimura变分、Hurwitz空间和堆栈理论。这次会议的目的是讨论模空间的算术和几何。本次会议的全体演讲者研究了各种背景下的模空间，包括有理点、向量束、堆栈理论、Brauer群、k理论和Hodge理论。在五次全体会议中，有四次会议之前将有针对研究生和早期博士后研究人员的预备会议。会议的目标受众是对代数几何和数论有广泛兴趣的数学家。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。

'Madison Moduli Weekend' is a conference on moduli spaces to be held in Madison, Wisconsin between the 27th and 29th of March, 2020. Moduli spaces are of great significance in algebraic geometry and number theory, and a great number of perspectives have developed in order to study them. This conference aims to bring together a diverse group of mathematicians, ranging from early career graduate students to experts in this field, to discuss the big questions and techniques surrounding the study of moduli spaces. The conference will consist of five plenary lectures as well as multiple short talks by early career mathematicians. More details can be found at the conference website: https://sites.google.com/wisc.edu/madisonmoduliweekend/home.Moduli spaces parametrize families of objects of interest, up to a notion of isomorphism. Their study has motivated the development of many areas in arithmetic and algebraic geometry, in addition to having a significant impact on them. These include, but are not limited to the study of modular curves, Shimura varieties, Hurwitz spaces and the theory of stacks. The goal of this conference is to talk about both the arithmetic and the geometry of moduli spaces. The plenary speakers of this conference study moduli spaces in various contexts, including rational points, vector bundles, the theory of stacks, Brauer groups, K-theory and Hodge theory. Four of the five plenary talks will be preceded by preparatory talks aimed at graduate students and early postdoctoral researchers. The conference is aimed at an audience of mathematicians with a broad interest in algebraic geometry and number theory.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.